Calculus of Variations and Geometric Measure Theory

A. Fiaschi - D. Knees - U. Stefanelli

Young-measure quasi-static damage evolution

created by fiaschi on 28 Sep 2011
modified by stefanell on 26 Sep 2013


Published Paper

Inserted: 28 sep 2011
Last Updated: 26 sep 2013

Journal: Arch. Rational Mech. Anal.
Volume: 203
Number: 2
Pages: 415-453
Year: 2012


An existence result for the quasi-static evolution of incomplete damage in elastic materials is presented. The absence of gradient terms in the damage variable causes a critical lack of compactness. Therefore, the analysis is developed in the framework of Young measures, where a notion of solution is defined, presenting some improvements with respect to previous contributions. The main new feature in the proof of the existence result regards a delicate construction of the joint-recovery sequence.