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Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems

  • Published:2015-01 Issue: Volume:113 Page:33-50
  • ISSN:0362-546X
  • Container-title:Nonlinear Analysis: Theory, Methods & Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Roubíček Tomáš

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference52 articles.

1. Quasistatic crack growth in nonlinear elasticity;Dal Maso;Arch. Ration. Mech. Anal.,2005

2. Existence results for a class of rate-independent material models with nonconvex elastic energies;Francfort;J. Reine Angew. Math.,2006

3. Differential, energetic and metric formulations for rate-independent processes;Mielke,2011

4. Rate-Independent Systems, Theory and Application;Mielke,2015

5. Γ-limits and relaxations for rate-independent evolutionary problems;Mielke;Calc. Var. Partial Differential Equations,2008

Cited by 20 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rate-independent stochastic evolution equations: Parametrized solutions;Journal of Functional Analysis;2023-11

2. Separately global solutions to rate-independent processes in large-strain inelasticity;Nonlinear Analysis;2022-02

3. A Numerical Approach to an Interface Damage Model Under Cyclic Loading;Proceedings of the 1st International Conference on Numerical Modelling in Engineering;2018-08-26

4. Two adhesive-contact models for quasistatic mixed-mode delamination problems;Mathematics and Computers in Simulation;2018-03

5. Regularity and approximation of strong solutions to rate-independent systems;Mathematical Models and Methods in Applied Sciences;2017-10-19
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