Near-Tip Fields in a Notched Body With Dislocations and Body Forces

Abstract

The dominant stress fields due to a dislocation and/or a body force near the tip of an isotropic or anisotropic notched body are derived. The structures of the neartip stress fields for anisotropic materials are constructed by using Stroh ’s formalism for anisotropic elasticity. The intensity coefficients contained in the near-tip fields are determined by Betti’s reciprocity theorem. Special attention is given to orthotropic and isotropic materials. Some explicit results of intensity coefficients due to concentrated forces on the notch faces and dislocations at the wedge bisector are also provided.