Quadratic time domain BEM formulation for 2D elastodynamic transient analysis

Abstract

An accurate and efficient time domain BEM for the 2D elastodynamic wave transient analysis method is presented. Emphasis is focused on developing time domain fundamental convoluted kernels and methodology for quadratic temporal solution procedures which have never been presented before. In the presented BEM method, called the QC method, the temporal variations of displacement and traction are assumed to be quadratic and constant, respectively. The spatial variations of displacement and traction fields are assumed to be quadratic. Also, the LC method, assuming linear temporal variation of displacement field and constant temporal variation of traction field, is examined in the paper. For the verification of the QC method, rectangular bars subject to different end loads are studied. The numerical results by the QC method are compared with analytical solutions and those by the LC method. Numerical study reveals that the QC method is more accurate and stable. In the QC method, a good numerical result can still be obtained even when beta=1.0-2.0. However beta=0.50-0.75 should be used in the LC method in order to obtain good numerical results. This would provide evidence that the QC method has great advantages over the LC method. Some conclusions regarding the QC method are also made. Copyright (C) 1996 Elsevier Science Ltd.