A lower semicontinuity result for linearised elasto-plasticity coupled with damage in <em>W</em><sup>1,<em>γ</em></sup>, <em>γ</em> &gt; 1

We prove the lower semicontinuity of functionals of the form \begin{equation*} \int \limits_\Omega \! V(\alpha) d |E u| \, , \end{equation*} with respect to the weak converge of $\alpha$ in $W^{1,\gamma}(\Omega)$, $\gamma &gt; 1$, and the weak* convergence of $u$ in $BD(\Omega)$, where...

Full description

Bibliographic Details
Main Authors: Vito Crismale, Gianluca Orlando
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2020006/fulltext.html