Combined effect of shear and large deformation on stress intensity factors

Abstract

SUMMARYAn attempt has been made to study the influence of large deformation on the stress intensity factor in a cracked plate subjected to bending including shear deformation. It is assumed that singular terms for stress resultants and strains in the case of large deformation have the same angular distribution and order of singularity as in the case of a linear problem. With this in view the small deformation singular element has been used at the crack tip region surrounded by large deformation plate bending elements. The finite element analysis, based on total Lagrangian formulation combined with the modified Newton-Raphson technique, has been used to get numerical results. Several examples connected with large deformation of cracked plates subjected to bending are studied. Using the above technique stress intensity factors for linear and non-linear cases have been compared.

3D crack propagation with cohesive elements in the extended finite element method

“…• The notion of stress intensity factor is originally intended to linear isotropic homogeneous elasticity. Extensions to anisotropic materials [41][42][43] and large deformations [44] do exist under some assumptions. Elastic-plastic materials may also be treated through asymptotic expansions near the crack tip for power-hardening laws by Hutchinson, Rice and Rosengren [45][46][47], but related solutions are not valid for (even local) unloading.…”