Quasi-static evolution in brittle fracture: the case of bounded solutions

Abstract

The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in [7] in the vector case and for a general quasiconvex elastic energy, are presented here under the simplifying assumption that the minimizing sequences involved in the problem are uniformly bounded in $L^{\infty }$.

15 pages

References in corpus (1)

• A model for the quasi-static growth of brittle fractures: existence and approximation results