Anti-plane crack in human bone. I. Mathematical modelling

Abstract

We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in the composite material are obtained following theories of Guz’s representation and of Riemann-Hilbert problem. Critical values of crack propagation angle are determined using Sih’s generalized criterion.

Keywords

• mode iii of fracture
• initial fields
• riemann-hilbert problem
• femur and tibia bone