Construction and application of adaptive semi-Infinite boundary element with dynamic problems on half-plane

Abstract

For thedynamic problem ofhalf-plane, if the radiation condition at the semi-infinite boundary is not taken into account in the numerical calculation, the accuracy of the result will be affected.In this paper, the basic theory of time-domain boundary element method (TD-BEM) and the propagation characteristics of stress waves in elastic media are used to transform a semi-infinite boundary into a semi-infinite boundary element which can adjust the size of the element automatically with time-space parameters.Enablingthe element to simulate radiative damping effects in the far field.At last, the efficiency of theelement is verified with a half-plane example under dynamic load by comparing its results with the results of the finite element method (FEM). Theverificationshows thatthe adaptive semi-infinite element can effectively simulate the radiation conditions in the far area. And it is convenient to use TD-BEM to solve the half-plane dynamics problem.