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arXiv · 2012.15325

Elastoplasticity of gradient-polyconvex materials

Martin Kružík·Jiří Zeman
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Abstract

We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we prove the existence of the so-called energetic solution. The stored energy density function is assumed to depend on gradients of minors of the deformation gradient which makes our results applicable to shape-memory materials, for instance.

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Martin Kružík, Jiří Zeman. 2020-12-30. Elastoplasticity of gradient-polyconvex materials. https://doi.org/10.1007/s00033-021-01603-w

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