Calculus of Variations and Geometric Measure Theory

A. Mielke - U. Stefanelli

Linearized plasticity is the evolutionary Gamma-limit of finite plasticity

created by stefanell on 03 Nov 2011
modified on 26 Sep 2013


Published Paper

Inserted: 3 nov 2011
Last Updated: 26 sep 2013

Journal: J. Eur. Math. Soc. (JEMS)
Volume: 15
Number: 3
Pages: 923--948
Year: 2013


We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Gamma-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity.