Display Abstract

Title A stress-driven local-solution approach to quasistatic brittle delamination

Name Marita Thomas
Country Germany
Email Marita.Thomas@wias-berlin.de
Co-Author(s) Tom\'a\v s Roub\' i\v cek, Christos Panagiotopoulos
Submit Time 2014-02-21 10:27:54
Session
Special Session 91: Variational methods for evolution equations
Contents
This contribution addresses several models describing the rate-independent fracture of a material compound along a prescribed interface. This unidirectional process is modeled in the framework of Generalized Standard Materials with the aid of an internal delamination parameter. In the context of the energetic formulation it has become a well-established procedure to obtain solutions of a so-called brittle delamination model via an adhesive-contact approximation based on tools from Gamma-convergence of rate-independent systems. This means that the non-smooth, local brittle constraint, confining displacement jumps to the null set of the delamination parameter, is approximated by a smooth, non-local surface energy term. Based on this idea we present a procedure to find local solutions for the brittle model. The behavior of local and energetic solutions is compared in a one-dimensional example.