Comparison of time domain BEM for 2D elastodynamic

Abstract

The three (LC, QC and QL) new time domain BEM methods are compared with each other and with an analytical method, the Laplace domain BEM method and another time domain boundary element method by solving two example problems of a circular cylindrical cavity subjected to a suddenly applied internal pressure, and a finite bar subjected to a ramp-step loading. Numerical study reveals that the three (LC, QC and QL) new methods are more accurate and stable than the other numerical methods used for comparison. Demonstration of the numerical computational time versus time steps of the three BEM methods is also given for a simple two-dimensional elastodynamics problem of a bar with 12-quadratic-element mesh due to an end traction. The difference in computational times by QC and LC methods is small.