Strain gradient visco-plasticity with dislocation densities contributing to the energy
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Date
2017-04-18
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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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Keywords
visco-plasticity, strain gradient plasticity, energetic solution, div-curl lemma