Corner treatment by assigning dual tractions to every node for elastodynamics in TD-BEM

In this study, a corner treatment on the boundary for time domain boundary element method (TD-BEM) by assigning dual tractions to every node is proposed. The proposed corner treatment on boundary mimics the real mechanical situation on the physical boundary for elastodynamic problem, and the computation accuracy is good. Taking the rectangular boundary as an example, the numerical implementation of the proposed corner treatment on boundary by assigning dual tractions to every node is demonstrated. Two verification examples, one-dimensional rod in finite medium and two-dimensional circular cavity in infinite medium under dynamic loads are conducted, in which the results from the TD-BEM, based on the proposed corner treatment on boundary, are compared with the results from the analytical solutions. Good agreement between the analytical results and the TD-BEM results, based on the proposed corner treatment on boundary for TD-BEM, is achieved for the two verification examples.