Numerical computation of internal stress and velocity in time-domain¶bem formulation for elastodynamics

摘要

This work is concerned with the computation of space and time derivatives (scalar wave) and stress and velocity components (elastodynamics) in a time-domain BEM formulation. Two approaches are presented: the first employs standard closed form integral equations related to desired variables, the second is based on a procedure that employs numerical derivatives of the basic boundary integral equation. In the latter, the kernels are written as functions of source point complex co-ordinates and the derivatives are computed, numerically, taking only the imaginary part. Both approaches produce reliable results, as demonstrated by three examples.