The Singularity Method in Boundary Value Problems in the Theory of Elasticiy (Part IV) : Two Dimensional Elastodynamic Problem

Abstract

In the present paper the singularity method or so-called the boundary element method is applied to the two-dimensional elastodynamic problems. Various representations of the displacement field are introduced, the one of which is very much useful to compute the stress concentration around a cavity or rigid inclusion during passage of plane harmonic waves in an infinity extended plate. Analyzing the property of kernel functions near the origin, an accurate method of integration of kernel function is proposed. To verify its usefullness and accuracy, some numerical examples are shown for circular cavity and rigid inclusion and crack and the calculation gives good values especially near or on the boundary compared with the former results.