Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials

  title={Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials},
  author={Gianni Dal Maso and Antonio DeSimone and Maria Giovanna Mora},
  journal={Archive for Rational Mechanics and Analysis},
The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is proved through the use of incremental variational problems in spaces of functions with bounded deformation. This approach provides a new approximation result for the solutions of the quasistatic evolution problem, which are shown to be absolutely continuous in time. Four equivalent formulations of the… 
Globally stable quasistatic evolution in plasticity with softening
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Inspired by some recent developments in the theory of small-strain heterogeneous elastoplasticity, we both revisit and generalize the formulation of the quasistatic evolutionary problem in perfect


Non–convex potentials and microstructures in finite–strain plasticity
  • C. Carstensen, K. Hackl, A. Mielke
  • Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2001
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