BEM solution of delamination problems using an interface damage and plasticity model
For researchers in computational mechanics, this work provides a BEM-based solution for delamination problems with mixed-mode fracture, but it is an incremental application of existing models to a specific numerical method.
This paper develops a numerical model for quasistatic elastic-plastic-brittle delamination using an interface damage and plasticity model with different fracture energies for Mode I and Mode II, solved via the boundary element method (BEM). The approach is demonstrated on sample problems, showing its capability to simulate delamination processes.
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.