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Hierarchical rank-one sequence convexification for the relaxation of variational problems with microstructures
M. Köhler, T. Neumeier, M.A. Peter, D. Peterseim and D. Balzani Computer Methods in Applied Mechanics and Engineering 432 117321 (2024) https://doi.org/10.1016/j.cma.2024.117321
Analytical and numerical relaxation results for models in soil mechanics
The Quasiconvex Envelope of Conformally Invariant Planar Energy Functions in Isotropic Hyperelasticity
Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba, Oliver Sander and Patrizio Neff Journal of Nonlinear Science 30(6) 2885 (2020) https://doi.org/10.1007/s00332-020-09639-4
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers
Numerical Methods for Nonlinear Partial Differential Equations
Sören Bartels Springer Series in Computational Mathematics, Numerical Methods for Nonlinear Partial Differential Equations 47 261 (2015) https://doi.org/10.1007/978-3-319-13797-1_9
Microstructure and effective behavior of materials
G. Dolzmann ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 93(1) 4 (2013) https://doi.org/10.1002/zamm.201200128
An Efficient Approach to the Numerical Solution of Rate-Independent Problems with Nonconvex Energies
IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media
Carsten Carstensen and Robert Huth IUTAM BookSeries, IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media 11 41 (2008) https://doi.org/10.1007/978-1-4020-9090-5_4
Analysis, Modeling and Simulation of Multiscale Problems
Sören Bartels, Carsten Carstensen, Sergio Conti, et al. Analysis, Modeling and Simulation of Multiscale Problems 197 (2006) https://doi.org/10.1007/3-540-35657-6_8
Reliable and Efficient Approximation of Polyconvex Envelopes