Prof. Dr. rer. nat. Klaus Hackl
- Lehrstuhlinhaber
- Lehrstuhl für Allgemeine Mechanik
- Institut für Computational Engineering
- Fakultät für Bau- und Umwelt-
ingenieurwissenschaften - Raum IA 3/125
- Fon +49 (0)234 /32-26025 (Sekretariat)
- Fax +49 (0)234 /32-14154
- E-Mail: Klaus.Hackl@rub.de
Lehre
- Grundlagenvorlesungen Mechanik A, B, C für Studierende der Fachrichtungen Maschinenbau, Bauingenieurwesen, Umwelttechnik & Ressourcenmanagement
- Continuum Mechanics im Studiengang Computational Engineering
- Grundlagen der Finite-Elemente-Technologie
- Mikromechanik
- Variationsprinzipien und Finite Elemente
- Kontinummsmechanik finiter Deformationen
Forschung
- siehe Forschung
Kurzer Lebenslauf
- 1977-1980
- Studium Physik, Universität Karlsruhe / Universität Heidelberg
- 1980-1985
- Studium Mathematik, Universität Heidelberg
- 1985-1989
- Wiss. Angestellter, Institut f. Technische Mechanik, RWTH Aachen
- 1988
- Promotion zum Dr. rer. nat., RWTH Aachen
- 1989-1992
- Feodor-Lynen-Stipendium der A. v. Humboldt-Stiftung, Department of Mathematical Sciences, University of Delaware
- 1992-1997
- Univ.-Assistent, Inst. f. Festigkeitslehre, Technische Universität Graz
- 1997
- Habilitation, TU Graz
- 1997-1999
- Univ.-Dozent, Inst. f. Festigkeitslehre, TU Graz
- seit 10/1999
- Univ.-Professor, Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum
Publikationen
Microstructural evolution during multiaxial deformation of pseudoelastic NiTi studied by first-principles-based micromechanical modeling, Acta Materialia, Vol. 57(13), pp. 3856-3867, (2009). |
BibTeX:
@article{Heinen2009,
author = {Heinen, Rainer and Hackl, Klaus and Windl, W. and Wagner, M. F. -X.},
title = {Microstructural evolution during multiaxial deformation of pseudoelastic NiTi studied by first-principles-based micromechanical modeling},
journal = {Acta Materialia},
year = {2009},
volume = {57},
number = {13},
pages = {3856-3867},
doi = {http://dx.doi.org/10.1016/j.actamat.2009.04.036}
}
|
Dynamical evolution of fracture process region in ductile materials, International Journal of Solids and Structures, (2009). |
BibTeX:
@article{Stumpf2009,
author = {Stumpf, Helmut and Makowski, Jerzy and Hackl, Klaus},
title = {Dynamical evolution of fracture process region in ductile materials},
journal = {International Journal of Solids and Structures},
year = {2009},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0749641908000636}
}
|
A novel approach to the modelling of single-crystalline materials undergoing martensitic phase-transformations, Materials Science and Engineering A, Vol. 481-482, pp. 371-375, (2008). |
| Abstract: We develop a micromechanical model which is suitable for any single-crystalline material which undergoes diffusionless solid-to-solid phase transitions. It is based on the specification of a microstructure accompanied by a perturbation of the local displacement-field which allows for a relaxation of the internal energy within a representative volume element. The main feature of our model is the distinction of internal variables into elastic and dissipative variables. They are treated by means of energy minimization and evolution laws, respectively. Applications are given in the context of material-point computations and two-dimensional finite-elements analysis. |
BibTeX:
@article{Bartel2008,
author = {Bartel, Thorsten and Hackl, Klaus},
title = {A novel approach to the modelling of single-crystalline materials undergoing martensitic phase-transformations},
journal = {Materials Science and Engineering A},
year = {2008},
volume = {481-482},
pages = {371-375},
doi = {http://dx.doi.org/10.1016/j.msea.2006.12.231}
}
|
A Method for Gradient Enhancement of Continuum Damage Models, Technische Mechanik, Vol. 28(1), pp. 43-52, (2008). |
BibTeX:
@article{Dimitrijevic2008,
author = {Dimitrijevic, Bojan J. and Hackl, Klaus},
title = {A Method for Gradient Enhancement of Continuum Damage Models},
journal = {Technische Mechanik},
year = {2008},
volume = {28},
number = {1},
pages = {43-52},
url = {http://www.uni-magdeburg.de/ifme/zeitschrift_tm/2008_Heft1/05_Dimitrievich_Hackl.pdf}
}
|
A Variational Damage Model Via Gradient Enhancement Of The Free Energy, iacm-eccomascongress2008.org, (2008). |
BibTeX:
@article{Dimitrijevic2008a,
author = {Dimitrijevic, Bojan J. and Hackl, Klaus},
title = {A Variational Damage Model Via Gradient Enhancement Of The Free Energy},
journal = {iacm-eccomascongress2008.org},
year = {2008},
url = {http://www.iacm-eccomascongress2008.org/cd/offline/pdfs/a1335.pdf}
}
|
On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials, Proc. R. Soc. A, Vol. 464(2089), pp. 117-132, (2008). |
| Abstract: We study the evolution of systems described by internal variables. After the introduction of thermodynamic forces and fluxes, both the dissipation and dissipation potential are defined. Then, the principle of maximum dissipation (PMD) and a minimum principle for the dissipation potential are developed in a variational formulation. Both principles are related to each other. Several cases are shown where both principles lead to the same evolution equations for the internal variables. However, also counterexamples are reported where such an equivalence is not valid. In this case, an extended PMD can be formulated. |
BibTeX:
@article{Hackl2008,
author = {Hackl, Klaus and Fischer, Franz Dieter},
title = {On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials},
journal = {Proc. R. Soc. A},
year = {2008},
volume = {464},
number = {2089},
pages = {117-132},
doi = {http://dx.doi.org/10.1098/rspa.2007.0086}
}
|
An upper bound to the free energy of n-variant polycrystalline shape memory alloys, JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Vol. 56(9), pp. 2832-2843, (2008). |
BibTeX:
@article{Hackl2008a,
author = {Hackl, Klaus and Heinen, Rainer},
title = {An upper bound to the free energy of n-variant polycrystalline shape memory alloys},
journal = {JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS},
year = {2008},
volume = {56},
number = {9},
pages = {2832-2843}
}
|
A micromechanical model for pretextured polycrystalline shape-memory alloys including elastic anisotropy, Continuum Mechanics and Thermodynamics, Vol. 19, pp. 8, (2008). |
| Abstract: We present a micromechanical model for polycrystalline shape-memory alloys which is capable of reproducing important aspects of the material behavior such as pseudoelasticity, pseudoplasticity, tension–compression asymmetry and the influence of texture inhomogeneities which may occur from the production process of components or specimens. Our model is based on the optimization of the material’s free energy density and uses a dissipation ansatz which is homogeneous of first order. Considering the full anisotropic material properties of both the austenite and the martensite phase, we compute the evolution of the orientation distributions of austenite and martensite as internal variables of our model. |
BibTeX:
@article{Hackl2008b,
author = {Hackl, Klaus and Heinen, Rainer},
title = {A micromechanical model for pretextured polycrystalline shape-memory alloys including elastic anisotropy},
journal = {Continuum Mechanics and Thermodynamics},
year = {2008},
volume = {19},
pages = {8},
doi = {http://dx.doi.org/10.1007/s00161-008-0067-z}
}
|
Experimental verification of a micromechanical model for polycrystalline shape memory alloys in dependence of martensite orientation distributions, Materials Science and Engineering A, Vol. 481(Sp. Iss. SI), pp. 347-350, (2008). |
BibTeX:
@article{Hackl2008c,
author = {Hackl, Klaus and Heinen, Rainer and Schmahl, W. W. and Hasan, M.},
title = {Experimental verification of a micromechanical model for polycrystalline shape memory alloys in dependence of martensite orientation distributions},
journal = {Materials Science and Engineering A},
year = {2008},
volume = {481},
number = {Sp. Iss. SI},
pages = {347-350}
}
|
Relaxed Potentials and Evolution Equations for Inelastic Microstructures, In IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media, , pp. 27-39, Springer, Netherlands, (2008). |
BibTeX:
@inproceedings{Hackl2008d,
author = {Hackl, Klaus and Kochmann, Dennis M.},
title = {Relaxed Potentials and Evolution Equations for Inelastic Microstructures},
booktitle = {IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media},
publisher = {Springer, Netherlands},
year = {2008},
pages = {27-39}
}
|
Hard X-ray studies of stress-induced phase transformations of superelastic NiTi shape memory alloys under uniaxial load, Materials Science and Engineering A, Vol. 481(Sp. Iss. SI), pp. 414-419, (2008). |
BibTeX:
@article{Hasan2008,
author = {Hasan, M. and Schmahl, W. W. and Hackl, Klaus and Heinen, Rainer and Frenzel, J. and Gollerthan, S. and Eggeler, G. and Khalil-Allafi, J. and Baruj, A.},
title = {Hard X-ray studies of stress-induced phase transformations of superelastic NiTi shape memory alloys under uniaxial load},
journal = {Materials Science and Engineering A},
year = {2008},
volume = {481},
number = {Sp. Iss. SI},
pages = {414-419}
}
|
Prediction of microstructural patterns in monocrystalline shape memory alloys using global energy minimization, Materials Science and Engineering A, Vol. 481(Sp. Iss. SI), pp. 362-365, (2008). |
| Abstract: A frequent observation in materials showing martensitic phase transformations is the formation of twins. Considering monocrystalline shape memory alloys, analytical results are known stating which martensitic variants are capable of forming an unstrained interface with each other. Based on these results, an estimate of the elastic energy of the material is formulated. By global optimization, microstructural parameters such as the orientation and the composition of the martensitic twins are determined. |
BibTeX:
@article{Heinen2008,
author = {Heinen, Rainer and Hoppe, Ulrich and Hackl, Klaus},
title = {Prediction of microstructural patterns in monocrystalline shape memory alloys using global energy minimization},
journal = {Materials Science and Engineering A},
year = {2008},
volume = {481},
number = {Sp. Iss. SI},
pages = {362-365},
doi = {http://dx.doi.org/10.1016/j.msea.2006.11.175}
}
|
Effective parameters of cancellous bone, Proceedings in Applied Mathematics and Mechanics (PAMM), (2008). |
BibTeX:
@article{Ilic2008,
author = {Ilic, Sandra and Hackl, Klaus and Gilbert, Robert P.},
title = {Effective parameters of cancellous bone},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2008},
url = {http://www3.interscience.wiley.com/journal/122217846/abstract}
}
|
Hard X-ray studies of stress-induced phase transformations of superelastic NiTi shape memory alloys $, Materials Science and Engineering A, (2008). |
BibTeX:
@article{Schmahl2008,
author = {Schmahl, W. W. and Hackl, Klaus and Heinen, Rainer and Frenzel, J. and Hasan, M.},
title = {Hard X-ray studies of stress-induced phase transformations of superelastic NiTi shape memory alloys $},
journal = {Materials Science and Engineering A},
year = {2008},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0921509307012531}
}
|
Modelling of shear localization in elastic material by means of energy relaxation, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 8(1), pp. 10471-10472, (2008). |
BibTeX:
@article{Trinh2008,
author = {Trinh, Tuyet Bach and Hackl, Klaus},
title = {Modelling of shear localization in elastic material by means of energy relaxation},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2008},
volume = {8},
number = {1},
pages = {10471-10472},
doi = {http://dx.doi.org/10.1002/pamm.200810471}
}
|
Prediction of Energy Barriers due to Nucleation in Solid-to-Solid Phase-Transitions, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 6(1), pp. 463-464, (2007). |
| Abstract: This contribution generally aims at the application of the multiscale-FEM to problems arising from inhomogeneities of arbitrary shape within a solid matrix material. In the context of our work, the inhomogeneity represents a nucleus of a new solid phase. According to the theory of homogeneous nucleation, the model predicts whether it is energetically preferable to initiate the growth of the nucleus or not. The implementation of this procedure into a micromechanical model for shape-memory alloys is assumed to be suitable to reconstruct the so-called stress-drop after the initiation of phase-transformation as observed in experiments. |
BibTeX:
@article{Bartel2007,
author = {Bartel, Thorsten and Hackl, Klaus},
title = {Prediction of Energy Barriers due to Nucleation in Solid-to-Solid Phase-Transitions},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2007},
volume = {6},
number = {1},
pages = {463-464},
doi = {http://dx.doi.org/10.1002/pamm.200610212}
}
|
Inverse problem for wave propagation in a perturbed layered half-space, MATHEMATICAL AND COMPUTER MODELLING, Vol. 45(1-2), pp. 21-33, (2007). |
BibTeX:
@article{Gilbert2007,
author = {Gilbert, Robert P. and Hackl, Klaus and Xu, Yongzhi},
title = {Inverse problem for wave propagation in a perturbed layered half-space},
journal = {MATHEMATICAL AND COMPUTER MODELLING},
year = {2007},
volume = {45},
number = {1-2},
pages = {21-33},
doi = {http://dx.doi.org/10.1016/j.mcm.2006.03.020}
}
|
An upper bound to the free energy of mixing by twin-compatible lamination for n-variant martensitic phase transformations, Continuum Mechanics and Thermodynamics, Vol. 18(7-8), pp. 443-453, (2007). |
| Abstract: Modeling the energetic behavior of martensitic (phase transforming) materials usually leads to non quasiconvex energy formulations. For this reason, researchers often employ quasiconvex relaxation methods to improve the character of the formulation. Unfortunately, explicit expressions for the relaxed free energy density for multi-variant martensitic materials are typically not available. Thus, some researchers have employed a Reu?-like convex lower bound, which neglects compatibility constraints, as an estimate on the free energy of mixing. To be confident with such a technique, one needs a measure of the quality of the lower bound. In this paper, we seek such a measure by comparing the Reu?-like lower bound to an upper bound. The upper bound is constructed upon assumptions on the type of microstructures that form in such alloys. In particular, we consider lamination type microstructures which form by temperature- or stress-induced transformation in monoclinic and orthorhombic Copper-based alloys with cubic austenitic symmetry. Our results display a striking congruence of upper and lower bounds in the most relevant cases. |
BibTeX:
@article{Govindjee2007,
author = {Govindjee, S. and Hackl, Klaus and Heinen, Rainer},
title = {An upper bound to the free energy of mixing by twin-compatible lamination for n-variant martensitic phase transformations},
journal = {Continuum Mechanics and Thermodynamics},
year = {2007},
volume = {18},
number = {7-8},
pages = {443-453},
doi = {http://dx.doi.org/10.1007/s00161-006-0038-1}
}
|
On the calculation of energy-minimizing phase fractions in shape memory alloys, Computer Methods in Applied Mechanics and Engineering, Vol. 196(21-24), pp. 2401-2412, (2007). |
BibTeX:
@article{Heinen2007,
author = {Heinen, Rainer and Hackl, Klaus},
title = {On the calculation of energy-minimizing phase fractions in shape memory alloys},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2007},
volume = {196},
number = {21-24},
pages = {2401-2412}
}
|
Application of the multiscale FEM to the modeling of heterogeneous ma-terials, Proceedings of the rst seminar on The Mechanics of $, (2007). |
BibTeX:
@article{Ilic2007,
author = {Ilic, Sandra and Hackl, Klaus},
title = {Application of the multiscale FEM to the modeling of heterogeneous ma-terials},
journal = {Proceedings of the rst seminar on The Mechanics of $},
year = {2007}
}
|
Estimation of material properties of cancellous bone using multiscale FEM, Proceedings in Applied Mathematics and Mechanics (PAMM), (2007). |
BibTeX:
@article{Ilic2007a,
author = {Ilic, Sandra and Hackl, Klaus and Gilbert, Robert P.},
title = {Estimation of material properties of cancellous bone using multiscale FEM},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2007},
url = {http://www3.interscience.wiley.com/journal/121371329/abstract}
}
|
Finite-element formulations of shear localization in granular materials, Proceedings in Applied Mathematics and Mechanics (PAMM), (2007). |
BibTeX:
@article{Trinh2007,
author = {Trinh, Tuyet Bach and Hackl, Klaus},
title = {Finite-element formulations of shear localization in granular materials},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2007},
url = {http://www3.interscience.wiley.com/journal/117949972/abstract}
}
|
Relaxation and the computation of effective energies and microstructures in solid mechanics, In Analysis, modeling and simulation of multiscale problems, Berlin, Heidelberg , pp. 197-224, Springer, (2006). |
| Abstract: We address the numerical analysis of relaxed formulations for scalar and vectorial nonconvex variational problems originating from models for solid-solid phase transitions and crystal plasticity.We discuss algorithms for the approximation of the quasiconvex envelope using laminates, rank-one convexity, and polyconvexity, and present some numerical applications to benchmarks problems, and to a model for single-slip crystal plasticity. |
BibTeX:
@incollection{Bartels2006,
author = {Bartels, Sören and Carstensen, Carsten and Conti, Sergio and Hackl, Klaus and Hoppe, Ulrich and Orlando, Antonio},
title = {Relaxation and the computation of effective energies and microstructures in solid mechanics},
booktitle = {Analysis, modeling and simulation of multiscale problems},
publisher = {Springer},
year = {2006},
pages = {197--224},
doi = {http://dx.doi.org/10.1007/3-540-35657-6}
}
|
Computational microstructures in phase transition solids and finite-strain elastoplasticity, GAMM-Mitteilungen, Vol. 29(2), pp. 215-246, (2006). |
BibTeX:
@article{Carstensen2006,
author = {Carstensen, Carsten and Hackl, Klaus and Hoppe, Ulrich and Orlando, Antonio},
title = {Computational microstructures in phase transition solids and finite-strain elastoplasticity},
journal = {GAMM-Mitteilungen},
year = {2006},
volume = {29},
number = {2},
pages = {215--246}
}
|
Relaxed potentials and evolution equations, Proceedings Third International Conference on Multiscale $, (2006). |
BibTeX:
@article{Hackl2006,
author = {Hackl, Klaus},
title = {Relaxed potentials and evolution equations},
journal = {Proceedings Third International Conference on Multiscale $},
year = {2006}
}
|
Adaptive algorithm for an inelastic shell model with application to damage mechanics, In Shell Structures: Theory and Applications, , pp. 111-114, Taylor&Francis Group, London, (2006). |
BibTeX:
@inproceedings{Hackl2006a,
author = {Hackl, Klaus and Ivljanin, Isidora},
title = {Adaptive algorithm for an inelastic shell model with application to damage mechanics},
booktitle = {Shell Structures: Theory and Applications},
publisher = {Taylor&Francis Group, London},
year = {2006},
pages = {111-114}
}
|
Micromechanical modelling of the behaviour of polycrystalline shape-memory-alloys, Smst-2004: Proceedings of the International Conference on $, (2006). |
BibTeX:
@article{Hackl2006b,
author = {Hackl, Klaus and Zhang, Wenge and Hoppe, Ulrich},
title = {Micromechanical modelling of the behaviour of polycrystalline shape-memory-alloys},
journal = {Smst-2004: Proceedings of the International Conference on $},
year = {2006},
url = {http://books.google.com/books?hl=en&lr=&id=4gwHOc9X4GoC&oi=fnd&pg=PA151&dq=k+hackl&ots=k3BBBnaPJw&sig=th-pRf2Y8YZk22-yutZuN0HTX44}
}
|
Micromechanical modelling of the influence of precipitates in shape memory alloys, Smst-2004: Proceedings of the International Conference on $, (2006). |
BibTeX:
@article{Hackl2006c,
author = {Hackl, Klaus and Zhang, Wenge and Hoppe, Ulrich},
title = {Micromechanical modelling of the influence of precipitates in shape memory alloys},
journal = {Smst-2004: Proceedings of the International Conference on $},
year = {2006},
url = {http://books.google.com/books?hl=en&lr=&id=4gwHOc9X4GoC&oi=fnd&pg=PA137&dq=k+hackl&ots=k3BBBnaPJw&sig=4KSsFpaujuo08k3UfA5awBKKRsc}
}
|
A Lamination Upper Bound to the Free Energy of Shape Memory Alloys, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 6(1), pp. 481-482, (2006). |
| Abstract: Modeling the energetic behavior of materials showing martensitic phase transformations usually leads to non-convex energy formulations. In a variety of models based on quasi-convex analysis, the Reuß lower bound, which neglects the compatibility constraint for the deformation fluctuations, is used as an estimate for the so-called energy of mixing. We present an upper bound that is on the one hand based on the lamination mixture formula, which gives an estimate of the free energy of two-variant materials and is extended to a specialized n-variant case in our work. On the other hand, we rely on experimentally well established assumptions about the type of microstructure that forms in such alloys. More precisely, we restrict the set of physically admissible microstructures to the subset of second order laminated microstructres consisting of austenite and twinned martensites. We further refine our upper bound by taking into account the notion of twin-compatibility. For the physically relevant examples of 13- and 7-variant Cu-Al-Ni shape memory alloys, striking congruence is obtained in the comparison of the Reuß lower and our upper bound for fixed volume fractions. Furthermore, we show results of global minimization of the energy obtained by each bound over the volume fractions of the variants. Similarities and differences in the energy-minimizing volume fractions are discussed. |
BibTeX:
@article{Heinen2006,
author = {Heinen, Rainer and Hackl, Klaus and Kotucha, Gregor and Bartel, Thorsten},
title = {A Lamination Upper Bound to the Free Energy of Shape Memory Alloys},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2006},
volume = {6},
number = {1},
pages = {481-482},
doi = {http://dx.doi.org/10.1002/pamm.200610221}
}
|
Multiscale FEM in modelling of solution-precipitation creep, Proceedings in Applied Mathematics and Mechanics (PAMM), (2006). |
BibTeX:
@article{Ilic2006,
author = {Ilic, Sandra and Hackl, Klaus},
title = {Multiscale FEM in modelling of solution-precipitation creep},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2006},
url = {http://www3.interscience.wiley.com/journal/114078339/abstract}
}
|
Numerical instabilities in structural optimization - analogy between topology & shape design problems, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 6(1), pp. 229-230, (2006). |
BibTeX:
@article{Kotucha2006,
author = {Kotucha, Gregor and Hackl, Klaus},
title = {Numerical instabilities in structural optimization - analogy between topology & shape design problems},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2006},
volume = {6},
number = {1},
pages = {229-230},
url = {http://dx.doi.org/10.1002/pamm.200610095}
}
|
The fundamental role of nonlocal and local balance laws of material forces in finite elastoplasticity and damage mechanics, International Journal of Solids and Structures, Vol. 43(13), pp. 3940-3959, (2006). |
BibTeX:
@article{Makowski2006,
author = {Makowski, Jerzy and Stumpf, Helmut and Hackl, Klaus},
title = {The fundamental role of nonlocal and local balance laws of material forces in finite elastoplasticity and damage mechanics},
journal = {International Journal of Solids and Structures},
year = {2006},
volume = {43},
number = {13},
pages = {3940-3959},
url = {http://linkinghub.elsevier.com/retrieve/pii/S002076830500212X}
}
|
Numerical aspects of the XFEM-The XFEM p-Version, Proceedings in Applied Mathematics and Mechanics (PAMM), (2006). |
BibTeX:
@article{Peters2006,
author = {Peters, Markus and Hackl, Klaus},
title = {Numerical aspects of the XFEM-The XFEM p-Version},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2006},
url = {http://www3.interscience.wiley.com/journal/114069709/abstract}
}
|
On the Analysis of Damage Localization as Precursor of Macro-Cracks, Springer,, In Fracture of Nano and Engineering Materials and Structures, Springer Netherlands, (2006). |
| Abstract: In damage mechanics it is well-known that localization zones are often precursors of macro-cracks. Correspondingly, in fracture mechanics extended experimental investigations (e.g. Klemm and Kalthoff, 1984; Bertram and Kalthoff, 2003) have shown that at the tip of a crack there is no stress singularity, instead, in front of the crack a small process zone can be observed caused by intensive dislocation motion in the case of ductile materials as metals or by intensive microcracking in the case of brittle materials as limestone or granite. At the same time high temperatures develop in the process zone. The size of the process zone depends strongly on the material properties. For glass the process zone is very small, but a very high temperature can be measured there. Another essential feature is the fact that the process zone evolves with high speed, if the crack moves with high speed. |
BibTeX:
@inproceedings{Stumpf2006,
author = {Stumpf, Helmut and Hackl, Klaus},
title = {On the Analysis of Damage Localization as Precursor of Macro-Cracks},
booktitle = {Fracture of Nano and Engineering Materials and Structures},
journal = {Springer},
publisher = {Springer Netherlands},
year = {2006},
note = {Proceedings of the 16th European Conference of Fracture, Alexandroupolis, Greece, July 3–7, 2006},
doi = {http://dx.doi.org/10.1007/1-4020-4972-2}
}
|
A framework for the nonlocal analysis of inelastic deformations and defect evolution in shells, In Shell Structures: Theory and Applications, , pp. 169-174, Taylor&Francis Group, London, (2006). |
BibTeX:
@inproceedings{Stumpf2006a,
author = {Stumpf, Helmut and Makowski, Jerzy and Hackl, Klaus},
title = {A framework for the nonlocal analysis of inelastic deformations and defect evolution in shells},
booktitle = {Shell Structures: Theory and Applications},
publisher = {Taylor&Francis Group, London},
year = {2006},
pages = {169-174}
}
|
Special Issue on Shape Memory Alloys and Their Applications-Theoretical Prediction on Martensitic $, Materials Transactions-JIM, (2006). |
BibTeX:
@article{Zhang2006,
author = {Zhang, Wenge and Hackl, Klaus},
title = {Special Issue on Shape Memory Alloys and Their Applications-Theoretical Prediction on Martensitic $},
journal = {Materials Transactions-JIM},
year = {2006}
}
|
Theoretical prediction on martensitic transformation start-strain of nitinol, Materials Transactions, Vol. 47(3), pp. 720-723, (2006). |
BibTeX:
@article{Zhang2006a,
author = {Zhang, Wenge and Hackl, Klaus},
title = {Theoretical prediction on martensitic transformation start-strain of nitinol},
journal = {Materials Transactions},
year = {2006},
volume = {47},
number = {3},
pages = {720-723},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=18033775}
}
|
Multiscale Modelling Of Shape-Memory Alloys, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 5(1), pp. 373-374, (2005). |
| Abstract: This work is dealing with the modelling and simulation of shape-memory alloys by taking into account the different scales which have a bearing on the material behaviour. Particularly we focus on the combination of all these scales in order to formulate one closed, physically well motivated model, which is capable to represent the characteristic phenomena of this kind of material. |
BibTeX:
@article{Bartel2005,
author = {Bartel, Thorsten and Hackl, Klaus},
title = {Multiscale Modelling Of Shape-Memory Alloys},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2005},
volume = {5},
number = {1},
pages = {373-374},
doi = {http://dx.doi.org/10.1002/pamm.200510163}
}
|
Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen, mfo.de, (2005). |
BibTeX:
@article{Braess2005,
author = {Braess, D. and Carstensen, Carsten and Hackl, Klaus},
title = {Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen},
journal = {mfo.de},
year = {2005},
url = {http://www.mfo.de/publications/annual_reports/annual_report_2005.pdf}
}
|
Solution-precipitation creep - continuum mechanical formulation and micromechanical modelling, Archive of Applied Mechanics (Ingenieur Archiv), Vol. 74(11-12), pp. 773-779, (2005). |
BibTeX:
@article{Hackl2005,
author = {Hackl, Klaus and Ilic, Sandra},
title = {Solution-precipitation creep - continuum mechanical formulation and micromechanical modelling},
journal = {Archive of Applied Mechanics (Ingenieur Archiv)},
year = {2005},
volume = {74},
number = {11-12},
pages = {773-779}
}
|
Solution-precipitation creepÔÇöcontinuum mechanical formulation and micromechanical modelling, Archive of Applied Mechanics (Ingenieur Archiv), (2005). |
BibTeX:
@article{Hackl2005a,
author = {Hackl, Klaus and Ilic, Sandra},
title = {Solution-precipitation creepÔÇöcontinuum mechanical formulation and micromechanical modelling},
journal = {Archive of Applied Mechanics (Ingenieur Archiv)},
year = {2005}
}
|
Computing crack propagation by the extended finite element method, Oberwolfach Report, (5), pp. 278-281, (2005). |
BibTeX:
@article{Hoppe2005,
author = {Hoppe, Ulrich and Hackl, Klaus and Peters, Markus},
title = {Computing crack propagation by the extended finite element method},
journal = {Oberwolfach Report},
year = {2005},
number = {5},
pages = {278-281}
}
|
Solution-precipitation creep-micromechanical modelling and numerical results, Proceedings in Applied Mathematics and Mechanics (PAMM), (2005). |
BibTeX:
@article{Ilic2005,
author = {Ilic, Sandra and Hackl, Klaus},
title = {Solution-precipitation creep-micromechanical modelling and numerical results},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2005},
url = {http://www3.interscience.wiley.com/journal/112191130/abstract}
}
|
Estimation of crack density due to fragmentation of brittle ellipsoidal inhomogeneities, Proceedings in Applied Mathematics and Mechanics (PAMM), (2005). |
BibTeX:
@article{Korobeinik2005,
author = {Korobeinik, M. and Le, K. C. and Hackl, Klaus},
title = {Estimation of crack density due to fragmentation of brittle ellipsoidal inhomogeneities},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2005},
url = {http://www3.interscience.wiley.com/journal/112217904/abstract}
}
|
Density gradient based regularization of topology optimization problems, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 5(1), pp. 423-424, (2005). |
BibTeX:
@article{Kotucha2005,
author = {Kotucha, Gregor and Hackl, Klaus},
title = {Density gradient based regularization of topology optimization problems},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2005},
volume = {5},
number = {1},
pages = {423-424},
url = {http://dx.doi.org/10.1002/pamm.200510188}
}
|
Estimation of crack density due to fragmentation of brittle ellipsoidal inhomogeneities embedded in a ductile matrix, Archive of Applied Mechanics (Ingenieur Archiv), Vol. 74(5-6), pp. 439-448, (2005). |
BibTeX:
@article{Le2005,
author = {Le, K. C. and Korobeinik, M. and Hackl, Klaus},
title = {Estimation of crack density due to fragmentation of brittle ellipsoidal inhomogeneities embedded in a ductile matrix},
journal = {Archive of Applied Mechanics (Ingenieur Archiv)},
year = {2005},
volume = {74},
number = {5-6},
pages = {439-448},
url = {http://www.springerlink.com/index/H2R1HU058506VV04.pdf}
}
|
Numerical aspects of the eXtended Finite Element Method, Proceedings in Applied Mathematics and Mechanics (PAMM), (2005). |
BibTeX:
@article{Peters2005,
author = {Peters, Markus and Hackl, Klaus},
title = {Numerical aspects of the eXtended Finite Element Method},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2005},
url = {http://www3.interscience.wiley.com/journal/112217896/abstract}
}
|
A framework for the nonlocal analysis of inelastic deformations and defect evolution in shells, In Shell Structures: Theory and Applications, , pp. 169-173, (2005). |
BibTeX:
@inproceedings{Stumpf2005,
author = {Stumpf, Helmut and Makowski, Jerzy and Hackl, Klaus},
title = {A framework for the nonlocal analysis of inelastic deformations and defect evolution in shells},
booktitle = {Shell Structures: Theory and Applications},
year = {2005},
pages = {169-173}
}
|
Nonlocal Damage Theories Based On Balances Of Material Forces (2005). |
BibTeX:
@inproceedings{Stumpf2005a,
author = {Stumpf, Helmut and Makowski, Jerzy and Hackl, Klaus},
title = {Nonlocal Damage Theories Based On Balances Of Material Forces},
year = {2005},
url = {icf11.com}
}
|
Weakly Nonlocal Theories Of Damage And Plasticity Based On Balance Of Dissipative Material Forces, Mechanics of Material Forces, (2005). |
BibTeX:
@article{Stumpf2005b,
author = {Stumpf, Helmut and Makowski, Jerzy and Hackl, Klaus and Gorski, J.},
title = {Weakly Nonlocal Theories Of Damage And Plasticity Based On Balance Of Dissipative Material Forces},
journal = {Mechanics of Material Forces},
year = {2005},
url = {http://books.google.com/books?hl=en&lr=&id=TymlR6EXeUIC&oi=fnd&pg=PT345&dq=k+hackl&ots=-Xnq4A66xF&sig=v5aWvEfWjboBayLY-4tSMAkR2Hw}
}
|
A micromechanical model for single-crystal shape-memory alloys, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 4, pp. 298-299, (2004). |
| Abstract: This work is dealing with solid to solid phase transformations in shape-memory-alloys and the simulation of the corresponding characteristic phenomena, e.g. pseudoelasticity and the shape-memory-effect. In particular it focuses on the micromechanical behaviour of the material and the appearance of microstructures. |
BibTeX:
@article{Bartel2004,
author = {Bartel, Thorsten and Hackl, Klaus},
title = {A micromechanical model for single-crystal shape-memory alloys},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2004},
volume = {4},
pages = {298-299},
doi = {http://dx.doi.org/10.1002/pamm.200410130}
}
|
Effective relaxation for microstructure simulations: algorithms and applications, Computer Methods in Applied Mechanics and Engineering, Vol. 193(48-51), pp. 5143-5175, (2004). |
| Abstract: For a wide class of problems in continuum mechanics like those involving phase transitions or finite elastoplasticity, the governing potentials tend to be not quasiconvex. This leads to the occurrence of microstructures of in principle arbitrarily small scale, which cannot be resolved by standard discretization schemes. Their effective macroscopic properties, however, can efficiently be recovered with relaxation theory. The paper introduces the variational framework necessary for the implementation of relaxation algorithms with emphasis on problems with internal variables in a time-incremental setting. The methods developed are based on numerical approximations to notions of generalized convexification. The focus is on the thorough analysis of numerical algorithms and their efficiency in applications to benchmark problems. An outlook to time-evolution of microstructures within the framework of relaxation theory concludes the paper. |
BibTeX:
@article{Bartels2004,
author = {Bartels, Sören and Carstensen, Carsten and Hackl, Klaus and Hoppe, Ulrich},
title = {Effective relaxation for microstructure simulations: algorithms and applications},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2004},
volume = {193},
number = {48-51},
pages = {5143-5175},
doi = {http://dx.doi.org/10.1016/j.cma.2003.12.065}
}
|
Adaptive wavelet-algorithms for inelastic shells, In THEORIES OF PLATES AND SHELLS: CRITICAL REVIEW AND NEW APPLICATIONS, Vol. 16, pp. 53-60, (2004). |
BibTeX:
@inproceedings{Hackl2004,
author = {Hackl, Klaus and Hoppe, Ulrich},
title = {Adaptive wavelet-algorithms for inelastic shells},
booktitle = {THEORIES OF PLATES AND SHELLS: CRITICAL REVIEW AND NEW APPLICATIONS},
year = {2004},
volume = {16},
pages = {53-60}
}
|
A micromechanical model for polycrystalline shape-memory alloys, Materials Science and Engineering A, (2004). |
BibTeX:
@article{Hackl2004a,
author = {Hackl, Klaus and M Schmidt-Baldassari and Zhang, Wenge},
title = {A micromechanical model for polycrystalline shape-memory alloys},
journal = {Materials Science and Engineering A},
year = {2004},
url = {http://linkinghub.elsevier.com/retrieve/pii/S092150930400036X}
}
|
Surface energies and size-effects in shape-memory-alloys, Materials Science and Engineering A, (2004). |
BibTeX:
@article{Hackl2004b,
author = {Hackl, Klaus and M Schmidt-Baldassari and Zhang, Wenge and Eggeler, G.},
title = {Surface energies and size-effects in shape-memory-alloys},
journal = {Materials Science and Engineering A},
year = {2004},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0921509304000358}
}
|
Surface energies and size-effects in shape-memory-alloys, Materials Science and Engineering A, Vol. 378(1-2, Sp. Iss. SI), pp. 499-502, (2004). |
BibTeX:
@article{Hackl2004c,
author = {Hackl, Klaus and Schmidt-Baldassari, Martin and Zhang, Wenge and Eggeler, G.},
title = {Surface energies and size-effects in shape-memory-alloys},
journal = {Materials Science and Engineering A},
year = {2004},
volume = {378},
number = {1-2, Sp. Iss. SI},
pages = {499-502}
}
|
Micromechanics of tension-compression asymmetry of polycrystalline shape-memory-alloys, Materialwissenschaft und Werkstofftechnik, Vol. 35(5), pp. 284-288, (2004). |
BibTeX:
@article{Hackl2004d,
author = {Hackl, Klaus and Zhang, Wenge and Schmidt-Baldassari, Martin and Hoppe, Ulrich},
title = {Micromechanics of tension-compression asymmetry of polycrystalline shape-memory-alloys},
journal = {Materialwissenschaft und Werkstofftechnik},
year = {2004},
volume = {35},
number = {5},
pages = {284-288},
url = {http://www3.interscience.wiley.com/journal/108561625/abstract}
}
|
Numerical Simulation of Microstructures via Higher-Order Rank-One Relaxation, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 4, pp. 221-222, (2004). |
BibTeX:
@article{Hoppe2004,
author = {Hoppe, Ulrich and Hackl, Klaus},
title = {Numerical Simulation of Microstructures via Higher-Order Rank-One Relaxation},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2004},
volume = {4},
pages = {221-222}
}
|
Homogenisation of random composites via the multiscale finite-element method, Proceedings in Applied Mathematics and Mechanics (PAMM), (2004). |
BibTeX:
@article{Ilic2004,
author = {Ilic, Sandra and Hackl, Klaus},
title = {Homogenisation of random composites via the multiscale finite-element method},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2004},
url = {http://www3.interscience.wiley.com/journal/109802045/abstract}
}
|
Numerical aspects of X-SIMP-based topology optimization, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 4(1), pp. 336-337, (2004). |
BibTeX:
@article{Kotucha2004,
author = {Kotucha, Gregor and Hackl, Klaus},
title = {Numerical aspects of X-SIMP-based topology optimization},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2004},
volume = {4},
number = {1},
pages = {336-337},
url = {http://dx.doi.org/10.1002/pamm.200410149}
}
|
On consistent weakly-nonlocal modeling of granular media, In CONFIGURATIONAL MECHANICS, , pp. 73-86, (2004). |
BibTeX:
@inproceedings{Makowski2004,
author = {Makowski, Jerzy and Stumpf, Helmut and Hackl, Klaus and Triantafyllidis, Th.},
title = {On consistent weakly-nonlocal modeling of granular media},
booktitle = {CONFIGURATIONAL MECHANICS},
year = {2004},
pages = {73-86}
}
|
Simulation of crack propagation using embedded discontinuities, In Second Int. Conference Lifetime-Oriented Design Concepts, , pp. 141-147, (2004). |
BibTeX:
@inproceedings{Peters2004,
author = {Peters, Markus and Hoppe, Ulrich and Hackl, Klaus},
title = {Simulation of crack propagation using embedded discontinuities},
booktitle = {Second Int. Conference Lifetime-Oriented Design Concepts},
year = {2004},
pages = {141-147}
}
|
Thermodynamically consistent nonlocal theory of ductile damage, MECHANICS RESEARCH COMMUNICATIONS, Vol. 31(3), pp. 355-363, (2004). |
BibTeX:
@article{Stumpf2004,
author = {Stumpf, Helmut and Makowski, Jerzy and Gorski, J. and Hackl, Klaus},
title = {Thermodynamically consistent nonlocal theory of ductile damage},
journal = {MECHANICS RESEARCH COMMUNICATIONS},
year = {2004},
volume = {31},
number = {3},
pages = {355-363}
}
|
Micromechanical Modelling of the Constitutive Behaviour of NiTi Shape Memory Alloys, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 4 (1), pp. 272-273), (2004). |
BibTeX:
@article{Zhang2004,
author = {Zhang, Wenge and Hackl, Klaus and Hoppe, Ulrich},
title = {Micromechanical Modelling of the Constitutive Behaviour of NiTi Shape Memory Alloys},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2004},
volume = {4 (1)},
pages = {272-273)}
}
|
On the calculation of microstructures for inelastic materials using relaxed energies, IUTAM Symposium on Computational Mechanics of Solid $,, In IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains: proceedings of the IUTAM symposium held in Stuttgart, Germany, 20-24 August 2001, Vol. 108, pp. 77-86, Kluwer Academic Pub, (2003). |
BibTeX:
@incollection{Hackl2003,
author = {Hackl, Klaus and Hoppe, Ulrich},
title = {On the calculation of microstructures for inelastic materials using relaxed energies},
booktitle = {IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains: proceedings of the IUTAM symposium held in Stuttgart, Germany, 20-24 August 2001},
journal = {IUTAM Symposium on Computational Mechanics of Solid $},
publisher = {Kluwer Academic Pub},
year = {2003},
volume = {108},
pages = {77-86},
url = {http://books.google.com/books?id=rZgSRTmOMuoC}
}
|
Dissipation distances in multiplicative elastoplasticity, In ANALYSIS AND SIMULATION OF MULTIFIELD PROBLEMS, Vol. 12, pp. 87-100, (2003). |
BibTeX:
@inproceedings{Hackl2003a,
author = {Hackl, Klaus and Mielke, Alexander and Mittenhuber, D.},
title = {Dissipation distances in multiplicative elastoplasticity},
booktitle = {ANALYSIS AND SIMULATION OF MULTIFIELD PROBLEMS},
year = {2003},
volume = {12},
pages = {87-100}
}
|
Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi-static $, International Journal of Solids and Structures, (2003). |
BibTeX:
@article{Hackl2003b,
author = {Hackl, Klaus and Stumpf, Helmut},
title = {Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi-static $},
journal = {International Journal of Solids and Structures},
year = {2003}
}
|
Numerische Berechnung von Mikrostrukturen bei inelastischen Materialien mittels relaxierter Energien, Proceedings in Applied Mathematics and Mechanics (PAMM), (2003). |
BibTeX:
@article{Hoppe2003,
author = {Hoppe, Ulrich and Hackl, Klaus},
title = {Numerische Berechnung von Mikrostrukturen bei inelastischen Materialien mittels relaxierter Energien},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2003},
url = {http://www3.interscience.wiley.com/journal/104086089/abstract}
}
|
Numerical Simulation of Microstructures Based on Incremental Variational Formulations and Relaxation Methods, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 3, pp. 284-285, (2003). |
BibTeX:
@article{Hoppe2003a,
author = {Hoppe, Ulrich and Hackl, Klaus},
title = {Numerical Simulation of Microstructures Based on Incremental Variational Formulations and Relaxation Methods},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2003},
volume = {3},
pages = {284-285}
}
|
Density gradient enhanced topology optimization of continuum structures, Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 3(1), pp. 292-293, (2003). |
BibTeX:
@article{Kotucha2003,
author = {Kotucha, Gregor and Hackl, Klaus},
title = {Density gradient enhanced topology optimization of continuum structures},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2003},
volume = {3},
number = {1},
pages = {292-293},
url = {http://dx.doi.org/10.1002/pamm.200310418}
}
|
Rate theory of nonlocal gradient damage-gradient viscoinelasticity, International Journal of Solids and Structures, Vol. 19(5), pp. 675-706, (2003). |
BibTeX:
@article{Saczuk2003,
author = {Saczuk, J. and Hackl, Klaus and Stumpf, Helmut},
title = {Rate theory of nonlocal gradient damage-gradient viscoinelasticity},
journal = {International Journal of Solids and Structures},
year = {2003},
volume = {19},
number = {5},
pages = {675-706}
}
|
Eine neue Technik der Fingergelenkarthrodese mit resorbierbarem Material: Biomechanische Eigenschaften und klinische Ergebnisse, Zeitschrift für Orthopädie und ihre Grenzgebiete, , pp. 141, (2003). |
BibTeX:
@article{Schmidt2003,
author = {Schmidt, K. and Awakowicz, A. and Mickley, Klaus and Hackl, Klaus and Demitzel, R.},
title = {Eine neue Technik der Fingergelenkarthrodese mit resorbierbarem Material: Biomechanische Eigenschaften und klinische Ergebnisse},
journal = {Zeitschrift für Orthopädie und ihre Grenzgebiete},
year = {2003},
pages = {141}
}
|
Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi- $, International Journal of Solids and Structures, (2003). |
BibTeX:
@article{Stumpf2003,
author = {Stumpf, Helmut and Hackl, Klaus},
title = {Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi- $},
journal = {International Journal of Solids and Structures},
year = {2003},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0020768302006431}
}
|
Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi-brittle materials, International Journal of Solids and Structures, Vol. 40(6), pp. 1567-1584, (2003). |
BibTeX:
@article{Stumpf2003a,
author = {Stumpf, Helmut and Hackl, Klaus},
title = {Micromechanical concept for the analysis of damage evolution in thermo-viscoelastic and quasi-brittle materials},
journal = {International Journal of Solids and Structures},
year = {2003},
volume = {40},
number = {6},
pages = {1567-1584}
}
|
Gradient theories of ductile and brittle damage: a thermodynamical consistent framework and computational issues, In COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, , pp. 659-661, (2003). |
BibTeX:
@inproceedings{Stumpf2003b,
author = {Stumpf, Helmut and Makowski, Jerzy and Gorski, J. and Hackl, Klaus},
title = {Gradient theories of ductile and brittle damage: a thermodynamical consistent framework and computational issues},
booktitle = {COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS},
year = {2003},
pages = {659-661}
}
|
Non-convex potentials and microstructures in finite-strain plasticity, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol. 458(2018), pp. 299-317, (2002). |
BibTeX:
@article{Carstensen2002,
author = {Carstensen, Carsten and Hackl, Klaus and Mielke, Alexander},
title = {Non-convex potentials and microstructures in finite-strain plasticity},
journal = {Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences},
year = {2002},
volume = {458},
number = {2018},
pages = {299-317}
}
|
A variational formulation of incremental problems in finite elasto--plasticity, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, (2002). |
BibTeX:
@article{Carstensen2002a,
author = {Carstensen, Carsten and Hackl, Klaus and Mielke, Alexander},
title = {A variational formulation of incremental problems in finite elasto--plasticity},
journal = {Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences},
year = {2002}
}
|
Incremental variational principles in damage mechanics, Talk on GAMM Seminar, TU Wien, (2002). |
BibTeX:
@article{Hackl2002,
author = {Hackl, Klaus and Schmidt-Baldassari, Martin},
title = {Incremental variational principles in damage mechanics},
journal = {Talk on GAMM Seminar, TU Wien},
year = {2002}
}
|
Numerical relaxation of nonconvex functionals in elastoplasticity, Proceedings in Applied Mathematics and Mechanics (PAMM), (2002). |
BibTeX:
@article{Hoppe2002,
author = {Hoppe, Ulrich and Hackl, Klaus},
title = {Numerical relaxation of nonconvex functionals in elastoplasticity},
journal = {Proceedings in Applied Mathematics and Mechanics (PAMM)},
year = {2002},
url = {http://www3.interscience.wiley.com/journal/92012793/abstract}
}
|
Brittle damage and finite elastoplasticity: From microtheories to nonlocal gradient and local models with numerical applications, In Plasticity, Damage and Fracture at Macro, Micro and Nanoscale, , pp. 343-345, NEAT Press, Fulton, Maryland USA, (2002). |
BibTeX:
@inproceedings{Stumpf2002,
author = {Stumpf, Helmut and Makowski, Jerzy and Hackl, Klaus},
title = {Brittle damage and finite elastoplasticity: From microtheories to nonlocal gradient and local models with numerical applications},
booktitle = {Plasticity, Damage and Fracture at Macro, Micro and Nanoscale},
publisher = {NEAT Press, Fulton, Maryland USA},
year = {2002},
pages = {343-345}
}
|
Section 5-Plasticity: Constitutive Equations and Applications-Aspekte der numerischen Behandlung $, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (2001). |
BibTeX:
@article{Besdo2001,
author = {Besdo, D. and M Schmidt-Baldassari and Hackl, Klaus},
title = {Section 5-Plasticity: Constitutive Equations and Applications-Aspekte der numerischen Behandlung $},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {2001}
}
|
A survey on time-integration algorithms for convex and nonconvex elastoplasticity, In From convexity to nonconvexity. A volume dedicated to the memory of Prof. G. Fichera, Kluwer, Boston, (2001). |
BibTeX:
@inproceedings{Hackl2001,
author = {Hackl, Klaus},
title = {A survey on time-integration algorithms for convex and nonconvex elastoplasticity},
booktitle = {From convexity to nonconvexity. A volume dedicated to the memory of Prof. G. Fichera},
publisher = {Kluwer, Boston},
year = {2001}
}
|
Time-integration algorithms, NONCONVEX OPTIMIZATION AND ITS APPLICATIONS, (2001). |
BibTeX:
@article{Hackl2001a,
author = {Hackl, Klaus},
title = {Time-integration algorithms},
journal = {NONCONVEX OPTIMIZATION AND ITS APPLICATIONS},
year = {2001}
}
|
Power system control user interface, ELEKTROTECHNIK UND INFORMATIONSTECHNIK, (2001). |
BibTeX:
@article{Hackl2001b,
author = {Hackl, Klaus},
title = {Power system control user interface},
journal = {ELEKTROTECHNIK UND INFORMATIONSTECHNIK},
year = {2001}
}
|
Algorithms to model a plane stress state at large plastic strains in a strain controlled fe- $, Trends In Computational Structural Mechanics. CIMNE, (2001). |
BibTeX:
@article{Hackl2001c,
author = {Hackl, Klaus and Schmidt-Baldassari, Martin},
title = {Algorithms to model a plane stress state at large plastic strains in a strain controlled fe- $},
journal = {Trends In Computational Structural Mechanics. CIMNE},
year = {2001}
}
|
Theory and numerics of anisotropic materials at finite strains (EUROMECH Colloquium 394), International Journal of Solids and Structures, Vol. 38(52), pp. 9421, (2001). |
BibTeX:
@article{Hackl2001d,
author = {Hackl, Klaus and Miehe, Christian and Celigoj, C.},
title = {Theory and numerics of anisotropic materials at finite strains (EUROMECH Colloquium 394)},
journal = {International Journal of Solids and Structures},
year = {2001},
volume = {38},
number = {52},
pages = {9421},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0020768301001299}
}
|
Time integration algorithms for evolution equations in finite strain plasticity, In TRENDS IN COMPUTATIONAL STRUCTURAL MECHANICS, , pp. 128-139, (2001). |
BibTeX:
@inproceedings{Hackl2001e,
author = {Hackl, Klaus and Schmidt-Baldassari, Martin},
title = {Time integration algorithms for evolution equations in finite strain plasticity},
booktitle = {TRENDS IN COMPUTATIONAL STRUCTURAL MECHANICS},
year = {2001},
pages = {128-139}
}
|
Thermodynamically based macro- and micromodelling of damage phenomena, (submitted), , pp. ?, (2001). |
BibTeX:
@article{Makowski2001,
author = {Makowski, Jerzy and Hackl, Klaus and Stumpf, Helmut},
title = {Thermodynamically based macro- and micromodelling of damage phenomena},
journal = {(submitted)},
year = {2001},
pages = {?}
}
|
Biomechanische Studie Zur Analyse Verschiedener Arthrodesentechniken Kleiner Gelenke, Biomedizinische Technik/Biomedical Engineering, Vol. 46(s1), pp. 314-315, (2001). |
BibTeX:
@article{Schmidt2001,
author = {Schmidt, K. and Schaaf, I. and Schopphoff, Egbert and Mickley, Klaus and Lange, H. and Stumpf, Helmut and Hackl, Klaus and Demitzel, R.},
title = {Biomechanische Studie Zur Analyse Verschiedener Arthrodesentechniken Kleiner Gelenke},
journal = {Biomedizinische Technik/Biomedical Engineering},
year = {2001},
volume = {46},
number = {s1},
pages = {314-315}
}
|
On microstructures occuring in a model of finite-strain elastoplasticity involving a single slip-system, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 80(Suppl. 2), pp. S421-S422, (2000). |
BibTeX:
@article{Carstensen2000,
author = {Carstensen, Carsten and Hackl, Klaus},
title = {On microstructures occuring in a model of finite-strain elastoplasticity involving a single slip-system},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {2000},
volume = {80},
number = {Suppl. 2},
pages = {S421-S422}
}
|
General model of finite elastoplasticity with numerical applications to localization phenomena and shakedown of structures, In Plastic and Viscoplastic Response of Materials and Metal Forming, , pp. 59-61, NEAT Press, Fulton, Maryland USA, (2000). |
BibTeX:
@inproceedings{Hackl2000,
author = {Hackl, Klaus and Stumpf, Helmut},
title = {General model of finite elastoplasticity with numerical applications to localization phenomena and shakedown of structures},
booktitle = {Plastic and Viscoplastic Response of Materials and Metal Forming},
publisher = {NEAT Press, Fulton, Maryland USA},
year = {2000},
pages = {59-61}
}
|
An adaptive finite element procedure for planar elastic problems using wavelets, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. (to appear) (2000). |
BibTeX:
@article{Maitz2000,
author = {Maitz, A. and Hackl, Klaus},
title = {An adaptive finite element procedure for planar elastic problems using wavelets},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {2000},
volume = {(to appear)}
}
|
On the calculation of plastic spin in a model of crystal plasticity based on symmetric tensors, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 80(Suppl. 2), pp. S451-S452, (2000). |
BibTeX:
@article{Schmidt2000,
author = {Schmidt, M. O. and Hackl, Klaus},
title = {On the calculation of plastic spin in a model of crystal plasticity based on symmetric tensors},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {2000},
volume = {80},
number = {Suppl. 2},
pages = {S451-S452}
}
|
On the representation of anisotropic elastic materials by symmetric irreducible tensors, Continuum Mechanics and Thermodynamics, Vol. 11(6), pp. 353-369, (1999). |
BibTeX:
@article{Hackl1999,
author = {Hackl, Klaus},
title = {On the representation of anisotropic elastic materials by symmetric irreducible tensors},
journal = {Continuum Mechanics and Thermodynamics},
year = {1999},
volume = {11},
number = {6},
pages = {353-369}
}
|
Gruppentheorie und Parameteridentifikation in der nichtlinearen, anisotropen Elastoplastizitat, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (1999). |
BibTeX:
@article{Hackl1999a,
author = {Hackl, Klaus},
title = {Gruppentheorie und Parameteridentifikation in der nichtlinearen, anisotropen Elastoplastizitat},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1999},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=9956173}
}
|
Section 5-Plasticity: Constitutive equations and applications-Gruppentheorie und $, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (1999). |
BibTeX:
@article{Hackl1999b,
author = {Hackl, Klaus},
title = {Section 5-Plasticity: Constitutive equations and applications-Gruppentheorie und $},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1999}
}
|
Regularization of numerical algorithms for crystal elastoplasticity by group-theoretical methods, ECCM,, In Conference on Computational Mechanics ECCM'99, (1999). |
BibTeX:
@inproceedings{Hackl1999c,
author = {Hackl, Klaus and Schmidt, Martin Otto},
title = {Regularization of numerical algorithms for crystal elastoplasticity by group-theoretical methods},
booktitle = {Conference on Computational Mechanics ECCM'99},
journal = {ECCM},
year = {1999},
note = {Conference on Computational Mechanics ECCM'99 Munich Germany, 1999. proceedings on CD}
}
|
Ein gekoppeltes Finite-Elemente-Wavelet-Verfahren für elastische Probleme, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 79(2), pp. S555-S556, (1999). |
BibTeX:
@article{Maitz1999,
author = {Maitz, A. and Hackl, Klaus},
title = {Ein gekoppeltes Finite-Elemente-Wavelet-Verfahren für elastische Probleme},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1999},
volume = {79},
number = {2},
pages = {S555-S556}
}
|
Section 5-Plasticity: Constitutive equations and applications-Integrationsverfahren hoherer Ordnung $, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (1999). |
BibTeX:
@article{Schmidt1999,
author = {Schmidt, Martin Otto and Hackl, Klaus},
title = {Section 5-Plasticity: Constitutive equations and applications-Integrationsverfahren hoherer Ordnung $},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1999}
}
|
Integrationsverfahren Hoherer Ordnung Fur Evolutionsgleichungen Der Elastoplastizitat, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (1999). |
BibTeX:
@article{Schmidt1999a,
author = {Schmidt, Martin Otto and Hackl, Klaus},
title = {Integrationsverfahren Hoherer Ordnung Fur Evolutionsgleichungen Der Elastoplastizitat},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1999},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=9956185}
}
|
The intersecting canonical domain approximation for the identification of an object in a shallow $, Proc. 4th Eur. Conf. on Underwater Acoustics, (1998). |
BibTeX:
@article{Gilbert1998,
author = {Gilbert, Robert P. and Hackl, Klaus and Wirgin, A.},
title = {The intersecting canonical domain approximation for the identification of an object in a shallow $},
journal = {Proc. 4th Eur. Conf. on Underwater Acoustics},
year = {1998}
}
|
Acoustic Green's function approximations, JOURNAL OF COMPUTATIONAL ACOUSTICS, Vol. 6(4), pp. 435-452, (1998). |
BibTeX:
@article{Gilbert1998a,
author = {Gilbert, Robert P. and Lin, Z. Y. and Hackl, Klaus},
title = {Acoustic Green's function approximations},
journal = {JOURNAL OF COMPUTATIONAL ACOUSTICS},
year = {1998},
volume = {6},
number = {4},
pages = {435-452}
}
|
Asymptotic methods in underwater acoustics, In GENERALIZED ANALYTIC FUNCTIONS - THEORY AND APPLICATIONS TO MECHANICS, Vol. 1, pp. 229-240, (1998). |
BibTeX:
@inproceedings{Hackl1998,
author = {Hackl, Klaus},
title = {Asymptotic methods in underwater acoustics},
booktitle = {GENERALIZED ANALYTIC FUNCTIONS - THEORY AND APPLICATIONS TO MECHANICS},
year = {1998},
volume = {1},
pages = {229-240}
}
|
A Survey on time-integration algorithms for convex and nonconvex elastoplasticity, From Convexity to Nonconvexity, Nonsmooth Optimization and $, (1998). |
BibTeX:
@article{Hackl1998a,
author = {Hackl, Klaus},
title = {A Survey on time-integration algorithms for convex and nonconvex elastoplasticity},
journal = {From Convexity to Nonconvexity, Nonsmooth Optimization and $},
year = {1998}
}
|
Wavelet based algorithms for elastoplastic shells, Proc. 6th Conf. on Shell Structures, Theory and Applications, , pp. 12-14, (1998). |
BibTeX:
@article{Hackl1998b,
author = {Hackl, Klaus},
title = {Wavelet based algorithms for elastoplastic shells},
journal = {Proc. 6th Conf. on Shell Structures, Theory and Applications},
year = {1998},
pages = {12-14},
note = {Proc. of the 6th Conference on Shell Structures Theory and Applications, Gdan'sk}
}
|
Anisotrope Elastizität und Gruppentheorie oder: Hatte Cauchy doch recht?, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (1998). |
BibTeX:
@article{Hackl1998c,
author = {Hackl, Klaus},
title = {Anisotrope Elastizität und Gruppentheorie oder: Hatte Cauchy doch recht?},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1998},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=1278070}
}
|
Generalized standard media and variational principles in classical and finite strain elastoplasticity, JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Vol. 45(5), pp. 667-688, (1997). |
BibTeX:
@article{Hackl1997,
author = {Hackl, Klaus},
title = {Generalized standard media and variational principles in classical and finite strain elastoplasticity},
journal = {JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS},
year = {1997},
volume = {45},
number = {5},
pages = {667-688}
}
|
Generalized standard media and variational principles in classical and finite strain $, JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, (1997). |
BibTeX:
@article{Hackl1997a,
author = {Hackl, Klaus},
title = {Generalized standard media and variational principles in classical and finite strain $},
journal = {JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS},
year = {1997},
url = {http://linkinghub.elsevier.com/retrieve/pii/S002250969600110X}
}
|
A framework for nonlinear shells based on generalized stress and strain measures, International Journal of Solids and Structures, (1997). |
BibTeX:
@article{Hackl1997b,
author = {Hackl, Klaus},
title = {A framework for nonlinear shells based on generalized stress and strain measures},
journal = {International Journal of Solids and Structures},
year = {1997},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=2603734}
}
|
A wavelet based elastoplastic beam model, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 76(Suppl. 1), pp. 175-178, (1996). |
BibTeX:
@article{Hackl1996,
author = {Hackl, Klaus},
title = {A wavelet based elastoplastic beam model},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1996},
volume = {76},
number = {Suppl. 1},
pages = {175-178}
}
|
The two-dimensional, linear thermoelastic plate, Asymptotic Theories for Plates and Shells, (1995). |
BibTeX:
@article{Gilbert1995,
author = {Gilbert, Robert P. and Hackl, Klaus},
title = {The two-dimensional, linear thermoelastic plate},
journal = {Asymptotic Theories for Plates and Shells},
year = {1995},
url = {http://books.google.com/books?hl=en&lr=&id=AyVVUoKFkLAC&oi=fnd&pg=PA67&dq=k+hackl&ots=Fo5_eiN-5-&sig=NWZm-m7RVCSt1fxrMJ8k-JWavx8}
}
|
The elastic-plastic plate, Asymptotic Theories for Plates and Shells, (1995). |
BibTeX:
@article{Gilbert1995a,
author = {Gilbert, Robert P. and Hackl, Klaus},
title = {The elastic-plastic plate},
journal = {Asymptotic Theories for Plates and Shells},
year = {1995},
url = {http://books.google.com/books?hl=en&lr=&id=AyVVUoKFkLAC&oi=fnd&pg=PA55&dq=k+hackl&ots=Fo5_eiN-5-&sig=j6Cqn9xO7uBNCCVbL4i6qWZ0iuM}
}
|
Formulation Of Elastoplastic Shell Models In Generalized Moments, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 74(4), pp. T165-T167, (1994). |
BibTeX:
@article{Hackl1994,
author = {Hackl, Klaus},
title = {Formulation Of Elastoplastic Shell Models In Generalized Moments},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1994},
volume = {74},
number = {4},
pages = {T165-T167}
}
|
Zur Formulierung von elasto-plastischen Schalenmodellen in verallgemeinerten Schnittgrössen, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), (1994). |
BibTeX:
@article{Hackl1994a,
author = {Hackl, Klaus},
title = {Zur Formulierung von elasto-plastischen Schalenmodellen in verallgemeinerten Schnittgrössen},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1994},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=4243226}
}
|
Stability, Bifurcation And Chaos Of Nonlinear Structures With Control .2. Nonautonomous Case, International Journal of Non-Linear Mechanics, Vol. 28(5), pp. 549-565, (1993). |
BibTeX:
@article{Cheng1993,
author = {Cheng, A. H. D. and Yang, C. Y. and Hackl, Klaus and Chajes, M. J.},
title = {Stability, Bifurcation And Chaos Of Nonlinear Structures With Control .2. Nonautonomous Case},
journal = {International Journal of Non-Linear Mechanics},
year = {1993},
volume = {28},
number = {5},
pages = {549-565}
}
|
Stability, bifurcation and chaos of non-linear structures with control. II: Non-autonomous case, International Journal of Non-Linear Mechanics, (1993). |
BibTeX:
@article{Cheng1993a,
author = {Cheng, A. H. D. and Yang, C. Y. and Hackl, Klaus and Chajes, M. J.},
title = {Stability, bifurcation and chaos of non-linear structures with control. II: Non-autonomous case},
journal = {International Journal of Non-Linear Mechanics},
year = {1993},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=4916240}
}
|
On The Genericity Of A Bifurcation Point Of Infinite Type And Multiple Solutions Of An Elastic Membrane, Nonlinear Analysis: Theory, Methods & Applications, Vol. 21(12), pp. 911-923, (1993). |
BibTeX:
@article{Hackl1993,
author = {Hackl, Klaus},
title = {On The Genericity Of A Bifurcation Point Of Infinite Type And Multiple Solutions Of An Elastic Membrane},
journal = {Nonlinear Analysis: Theory, Methods & Applications},
year = {1993},
volume = {21},
number = {12},
pages = {911-923}
}
|
A normal mode expansion for a unified ocean-bottom system Comput, Acoustics, (1993). |
BibTeX:
@article{Hackl1993a,
author = {Hackl, Klaus},
title = {A normal mode expansion for a unified ocean-bottom system Comput},
journal = {Acoustics},
year = {1993}
}
|
On the genericity of a bifurcation point of infinite type and multiple solutions of an elastic $, Nonlinear Analysis: Theory, Methods & Applications, (1993). |
BibTeX:
@article{Hackl1993b,
author = {Hackl, Klaus},
title = {On the genericity of a bifurcation point of infinite type and multiple solutions of an elastic $},
journal = {Nonlinear Analysis: Theory, Methods & Applications},
year = {1993},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=3931490}
}
|
STABILITY, BIFURCATION AND CHAOS OF NONLINEAR STRUCTURES WITH CONTROL .1. AUTONOMOUS CASE, International Journal of Non-Linear Mechanics, Vol. 28(4), pp. 441-454, (1993). |
BibTeX:
@article{Hackl1993c,
author = {Hackl, Klaus and Yang, C. Y. and Cheng, A. H. D.},
title = {STABILITY, BIFURCATION AND CHAOS OF NONLINEAR STRUCTURES WITH CONTROL .1. AUTONOMOUS CASE},
journal = {International Journal of Non-Linear Mechanics},
year = {1993},
volume = {28},
number = {4},
pages = {441-454}
}
|
Stability, bifurcation and chaos of non-linear structures with control. I: Autonomous case, International Journal of Non-Linear Mechanics, (1993). |
BibTeX:
@article{Hackl1993d,
author = {Hackl, Klaus and Yang, C. Y. and Cheng, A. H. D.},
title = {Stability, bifurcation and chaos of non-linear structures with control. I: Autonomous case},
journal = {International Journal of Non-Linear Mechanics},
year = {1993},
url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=4843358}
}
|
Probabilistic Order of Chaotic Dynamics, Probabilistic mechanics and structural and geotechnical $, , pp. 420-423, (1992). |
BibTeX:
@article{Cheng1992,
author = {Cheng, A. H. D. and Yang, C. Y. and Hackl, Klaus},
title = {Probabilistic Order of Chaotic Dynamics},
journal = {Probabilistic mechanics and structural and geotechnical $},
year = {1992},
pages = {420-423},
url = {http://www.pubs.asce.org/WWWdisplay.cgi?9202786}
}
|
Bifurcations and Chaos in Structural Control pubs.asce.org, (1992). |
BibTeX:
@book{Hackl1992,
author = {Hackl, Klaus and Cheng, A. and Yang, C. Y. and Chajes, M. J. and Newark, D. E.},
title = {Bifurcations and Chaos in Structural Control},
publisher = {pubs.asce.org},
year = {1992},
url = {http://www.pubs.asce.org/WWWdisplay.cgi?9201673}
}
|
Chaos, Stochasticity, And Stability Of A Nonlinear Oscillator With Control .2. Simulation, In COMPUTATIONAL STOCHASTIC MECHANICS, , pp. 239-252, (1991). |
BibTeX:
@inproceedings{Cheng1991,
author = {Cheng, A. H. D. and Hackl, Klaus and Yang, C. Y.},
title = {Chaos, Stochasticity, And Stability Of A Nonlinear Oscillator With Control .2. Simulation},
booktitle = {COMPUTATIONAL STOCHASTIC MECHANICS},
year = {1991},
pages = {239-252}
}
|
Chaos, Stochasticity And Stability Of A Nonlinear Oscillator With Control .1. Analysis, In Computational Stochastic Mechanics, , pp. 223-237, (1991). |
BibTeX:
@inproceedings{Yang1991,
author = {Yang, C. Y. and Hackl, Klaus and Cheng, A. H. D.},
title = {Chaos, Stochasticity And Stability Of A Nonlinear Oscillator With Control .1. Analysis},
booktitle = {Computational Stochastic Mechanics},
year = {1991},
pages = {223-237}
}
|
Chaos, Stochasticity and Stability of a Nonlinear Oscillator with Control Part I: Analysis, Computational Stochastic Mechanics, (1991). |
BibTeX:
@article{Yang1991a,
author = {Yang, C. Y. and Hackl, Klaus and Cheng, A. H. D.},
title = {Chaos, Stochasticity and Stability of a Nonlinear Oscillator with Control Part I: Analysis},
journal = {Computational Stochastic Mechanics},
year = {1991}
}
|
Contribution To The Size Effect On The Strength Of Flat Glass, Glass Science and Technology / Glastechnische Berichte, Vol. 63(5), pp. 135-140, (1990). |
BibTeX:
@article{Blank1990,
author = {Blank, K. and Grüters, H. and Hackl, Klaus},
title = {Contribution To The Size Effect On The Strength Of Flat Glass},
journal = {Glass Science and Technology / Glastechnische Berichte},
year = {1990},
volume = {63},
number = {5},
pages = {135-140}
}
|
Stress and strain analyses of rectangular glass plates for large deformations. Part 1. Dimensioning $, Glass Science and Technology / Glastechnische Berichte, (1990). |
BibTeX:
@article{Gruters1990,
author = {Grüters, H. and Hackl, Klaus and Willms, H.},
title = {Stress and strain analyses of rectangular glass plates for large deformations. Part 1. Dimensioning $},
journal = {Glass Science and Technology / Glastechnische Berichte},
year = {1990}
}
|
Stress and strain analyses of rectangular plates for large deformations. Pt. 2. Calculation of fracture probabilities in rectangular plates under area load, Glass Science and Technology / Glastechnische Berichte, Vol. 4, pp. 93-95, (1990). |
BibTeX:
@article{Gruters1990a,
author = {Grüters, H. and Hackl, Klaus and Willms, H.},
title = {Stress and strain analyses of rectangular plates for large deformations. Pt. 2. Calculation of fracture probabilities in rectangular plates under area load},
journal = {Glass Science and Technology / Glastechnische Berichte},
year = {1990},
volume = {4},
pages = {93-95},
url = {http://www.csa.com/partners/viewrecord.php?requester=gs&collection=TRD&recid=WCA71078WC}
}
|
Propagation Of Instability In A Thompson-gaspar Buckling Model, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 70(4), pp. T189-T192, (1990). |
BibTeX:
@article{Hackl1990,
author = {Hackl, Klaus},
title = {Propagation Of Instability In A Thompson-gaspar Buckling Model},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1990},
volume = {70},
number = {4},
pages = {T189-T192}
}
|
Limited Generic Development Of Bifurcation Equations And Modal Parameters In Plate Buckling, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 69(5), pp. T380-T382, (1989). |
BibTeX:
@article{Hackl1989,
author = {Hackl, Klaus},
title = {Limited Generic Development Of Bifurcation Equations And Modal Parameters In Plate Buckling},
journal = {Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)},
year = {1989},
volume = {69},
number = {5},
pages = {T380-T382}
}
|
ON THE EXISTENCE, UNIQUENESS AND COMPLETENESS OF DISPLACEMENTS AND STRESS FUNCTIONS IN LINEAR ELASTICITY, Journal of Elasticity, Vol. 19(1), pp. 3-23, (1988). |
BibTeX:
@article{Hackl1988,
author = {Hackl, Klaus and Zastrow, U.},
title = {ON THE EXISTENCE, UNIQUENESS AND COMPLETENESS OF DISPLACEMENTS AND STRESS FUNCTIONS IN LINEAR ELASTICITY},
journal = {Journal of Elasticity},
year = {1988},
volume = {19},
number = {1},
pages = {3-23}
}
|
On the existence, uniqueness and completeness of displacements and stress functions in linear $, Journal of Elasticity, (1988). |
BibTeX:
@article{Hackl1988a,
author = {Hackl, Klaus and Zastrow, U.},
title = {On the existence, uniqueness and completeness of displacements and stress functions in linear $},
journal = {Journal of Elasticity},
year = {1988},
url = {http://www.springerlink.com/index/M7KV22M524556L33.pdf}
}
|
Sonstiges