Numerical time domain BEM experiment for 2-D elastodynamics

Abstract

This paper investigates some numerical aspects of solving 2-D time domain elastodynamic problems by the Boundary Element Method. In the investigation, quadratic spatial elements on the boundaries of domains, and linear temporal variations for displacement and constant temporal variation for traction in one time step are employed. For calculating internal displacement and stress, the traction kernels and internal stress kernels are derived by following the methodology developed by Israil and Banerjee. Since the non-dimensional time step beta=c(1)Deltat/l is a major parameter in judging the accuracy and stability of time domain BEM, the effects of beta value on numerical results are examined thoroughly in the investigation. Also, how accurate the time dot, main BEM is for calculating internal stress and displacement is also investigated comprehensively. Some conclusions are drawn from numerical experiments.