Special Session 126: Defects, Microstructures, and Failure: Multiscale Variational Models

Variational phase-field models of cohesive fracture
Sergio Conti
University of Bonn
Germany
Co-Author(s):    
Abstract:
Cohesive-zone models are free-discontinuity problems with a surface energy that converges to zero for small values of the jump, and to a positive, finite value for large values of the jump. Their approximation with a phase- field model requires an interaction between the damage variable and the strain that depends on the regularization parameter. I will discuss recent progress on the development of these approximations and on the study of the limiting model. The talk is based on joint work with Flaviana Iurlano and Matteo Focardi.