Calculus of Variations and Geometric Measure Theory
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G. A. Francfort - M. G. Mora

Quasistatic evolution in non-associative plasticity revisited

created by mora on 18 May 2017


Submitted Paper

Inserted: 18 may 2017
Last Updated: 18 may 2017

Year: 2017


The mathematical treatment of evolutionary non-associative elasto-plasticity is still in its infancy. In particular, all existence results thus far rely on a spatially mollified stress admissibility constraint. Further, the evolution is formulated in a rescaled time from which it is very difficult to infer any useful information on the "real" time evolution. We propose a causal spatio-temporal mollification of the stress admissibility constraint that, while no more far-fetched than a purely spatial one, produces a more elegant and complete evolution for such models, and this in the "real" time variable.


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