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arXiv · 1912.10118

Quasistatic evolution for dislocation-free finite plasticity

Martin Kružík·David Melching·Ulisse Stefanelli
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Abstract

We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients.

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Martin Kružík, David Melching, Ulisse Stefanelli. 2020-05-07. Quasistatic evolution for dislocation-free finite plasticity. https://arxiv.org/abs/1912.10118

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