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

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• 作者：Gilles A. Francfort^a ; ^{gilles.francfort@univ-paris13.fr" class="auth_mail" title="E-mail the corresponding author} ; Alessandro Giacomini^b ; ^{alessandro.giacomini@unibs.it" class="auth_mail" title="E-mail the corresponding author} ; Jean Jacques Marigo^c ; ^{marigo@lms.polytechnique.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：74C05 ; 49J45 ; 47J20
• 刊名：Journal de mathematiques pures et appliquees
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：105
• 期：2
• 页码：198-227
• 全文大小：556 K

文摘

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.