Analysis and simulation of debonding membranes

Abstract

The paper deals with the numerical analysis and simulation of debonding membranes in the framework of quasistatic processes modeled by minimizing movements. Depending on parameters of the model, the “support” of the membrane is a quasi-open set (i.e. the membrane is debonded or glued) or a capacitary measure (i.e. fractions of glue remain active). Time discretization is associated to gradient methods based on shape (measure) derivative and genetic shape (measure) optimization.