Strain gradient visco-plasticity with dislocation densities contributing to the energy

Matthias Röger; Ben Schweizer

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arXiv · 1704.05326

Strain gradient visco-plasticity with dislocation densities contributing to the energy

Matthias Röger·Ben Schweizer

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Abstract

We consider the energetic description of a visco-plastic evolution and derive an existence result. The energies are convex, but not necessarily quadratic. Our model is a strain gradient model in which the curl of the plastic strain contributes to the energy. Our existence results are based on a time-discretization, the limit procedure relies on Helmholtz decompositions and compensated compactness.

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Matthias Röger, Ben Schweizer. 2017-04-18. Strain gradient visco-plasticity with dislocation densities contributing to the energy. https://arxiv.org/abs/1704.05326

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