WIAS Preprint No. 1299, (2008)

Global existence for rate-independent gradient plasticity at finite strain


Authors

  • Mainik, Andreas
  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888

2010 Mathematics Subject Classification

  • 49J40 49S05 74C15

Keywords

  • Energetic rate-independent systems, energetic solution, finite-strain elastoplasticity, multiplicative decomposition of the strain, Lie group of plastic strain, dissipation distance, local theory via gradient terms

DOI

10.20347/WIAS.PREPRINT.1299

Abstract

We provide a global existence result for the time-continuous elastoplasticity problem using the energetic formulation. For this we show that the geometric nonlinearities via the multiplicative decomposition of the strain can be controlled via polyconvexity and a priori stress bounds in terms of the energy density. While temporal oscillations are controlled via the energy dissipation the spatial compactness is obtain via the regularizing terms involving gradients of the internal variables.

Appeared in

  • J. Nonlinear Sci., 19 (2009) pp. 221--248.

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