Finite deformation near a crack tip terminated at an interface between two neo-Hookean sheets

J Mech Phys Solids. 2022 Jan:158:104653. doi: 10.1016/j.jmps.2021.104653. Epub 2021 Oct 19.

Abstract

A crack terminating at an arbitrary angle to the interface between two neo-Hookean sheets is investigated under plane stress conditions using finite deformation theory. The asymptotic crack-tip deformation and stress fields are analyzed as a function of the ratio of the moduli and the angle of the crack relative to the interface. Full-held numerical calculations and experimental studies validate the analytical results. A stretch-based crack growth criterion is developed using crack-tip held solutions. Such criterion can predict the delay of crack growth through the bi-material interface observed in experiments and can be extended to any heterogeneity and material.

Keywords: Crack; Finite deformation; Layered bi-materials.