An elastic-plastic analysis of a crack in a plate of finite size

Abstract

Two great complexities are involved in determining the stress and strain fields in a body containing a crack. These arise in treating the plastically deformed regions at the ends of the crack and in accounting for the boundary conditions on the periphery of the body. Progress has been made in treating these complexities individually. A large number of completely elastic solutions for finite and semi-finite cracked plates (see, for example, the compilation by Feddersen [1]) and of elastic-plastic solutions for infinite cracked plates are available. Few elastic-plastic solutions for finite regions have been reported, however. Of these the anti-planestrain solutions of Bilby et al [2] and Koskinen [3] are particularly noteworthy.