Local-solution approach to quasistatic rate-independent mixed-mode delamination
Provides a theoretical framework and numerical method for modeling mixed-mode delamination, which is important for fracture mechanics but is incremental in nature.
The paper rigorously analyzes quasistatic rate-independent mixed-mode delamination using a stress-driven local solution concept, and demonstrates convergence of a semi-implicit discretization to these solutions on a 2D example.
The quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e.~distinguishing opening (Mode I) from shearing (Mode II) is rigorously analyzed in the context of a concept of stress-driven local solutions. The model has separately convex stored energy and is associative, namely the 1-homogeneous potential of dissipative force driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretisation in time is shown to converge to specific, stress-driven like) local solutions that may approximately obey the maximum-dissipation principle. Making still a spatial discretisation, this convergence as well as relevancy of such solution concept are demonstrated on a nontrivial 2-dimensional example.