Quasistatic evolution for dislocation-free finite plasticity
Analysis of PDEs
2020-05-08 v2
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.
Keywords
Cite
@article{arxiv.1912.10118,
title = {Quasistatic evolution for dislocation-free finite plasticity},
author = {Martin Kružík and David Melching and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:1912.10118},
year = {2020}
}