Calculus of Variations and Geometric Measure Theory

G. A. Francfort - A. Giacomini - J. J. Marigo

A case study for uniqueness of elasto-plastic evolutions: the bi-axial test

created by giacomini on 22 Oct 2014
modified on 09 Mar 2016


Published Paper

Inserted: 22 oct 2014
Last Updated: 9 mar 2016

Journal: J. Math. Pures Appl.
Volume: 105
Pages: 198-227
Year: 2016


The uniqueness of the solution to a quasi-static problem in perfect elasto-plasticity is established in the case of a bi-axial test. It is the first example known to us of uniqueness in the context of multi-dimensional elasto-plasticity.