PENNY-SHAPED DUGDALE CRACK IN A TRANSVERSE ISOTROPIC MEDIUM

摘要

Analytical results for a penny-shaped crack with a plastic zone at the crack front are given. The crack is embedded in an infinite transversely isotropic elastic medium and is assumed to be subjected to two identical axisymmetric loads on the upper and lower crack faces. The size of the plastic zone at the crack front is determined by applying Dugdale hypothesis to the elasticity results for a penny-shaped crack. The size of the plastic zone is derived in terms of hyper-geometric functions. Expression of the normal stress outside the plastic zone is also given.