Evaluation of elastodynamic interfacial and tangential stresses by simple regularization method

Abstract

The traction boundary integral equation (TBIE) method is used to evaluate the elastodynamic interfacial and tangential stresses along the boundary between a scatterer (inclusion) and the surrounding elastic medium (matrix). The hypersingular arisen in the formulation is regularized by a simple method. By employing the static fundamental stress fields and with the use of some identities and certain requirements on the choice of shape functions, the terms related to hypersingular are reduced to the evaluations which are directly related to the end points of the element under consideration. The validation of numerical examples with those obtained by analytic method confirms the effectiveness of the present approach. An extension of the present method to the investigation of scattering problems from a crack is also presented.