WIAS Preprint No. 1287, (2007)

On an evolutionary model for complete damage based on energies and stresses



Authors

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

2010 Mathematics Subject Classification

  • 35K65 35K85 49S05 74C05 74R05

Keywords

  • Weak energetic solution, rate independent energetic system, complete damage, Gamma convergence

Abstract

A recent model allows for complete damage, such that the deformation is not well-defined. The evolution can be described in terms of energy densities and stresses. We introduce the notion of weak energetic solution and show how the existence theory can be generalized to convex, but non-quadratic elastic energies.

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