BEM solution of delamination problems using an interface damage and plasticity model

TL;DR

This paper develops a boundary element method (BEM) approach for simulating elastic-plastic-brittle delamination, incorporating interface damage and plasticity, to accurately model energy dissipation during fracture modes.

Contribution

It introduces a novel BEM-based numerical scheme with an interface damage-plasticity model for delamination, employing energetic solutions and fully implicit time discretization.

Findings

Successfully models delamination with energy dissipation in Mode I and II.

Demonstrates the numerical method on sample problems showing its effectiveness.

Provides a framework for simulating rate-independent interface evolution.

Abstract

The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies glued by an adhesive to each other or to a rigid outer surface are studied. The energy amounts dissipated in fracture Mode I (opening) and Mode II (shear) at an interface may be different. A concept of internal parameters is used here on the delaminating interfaces, involving a couple of scalar damage variable and a plastic tangential slip with kinematic-type hardening. The so-called energetic solution concept is employed. An inelastic process at an interface is devised in such a way that the dissipated energy depends only on the rates of internal parameters and therefore the model is associative. A fully implicit time discretization is combined with a spatial discretization of elastic bodies by the BEM to solve the delamination problem. The BEM is used in the solution of the respective boundary value problems, for each subdomain separately, to compute the corresponding total potential energy. Sample problems are analysed by a collocation BEM code to illustrate the capabilities of the numerical procedure developed.