A linear θ time-marching algorithm in 3D BEM formulation for elastodynamics

摘要

A time-marching process similar to the well-known Wilson θ-method is used in order to develop an algorithm for carrying out the 3D tie domain analyses with the boundary element method (BEM). The described here, when incorporate to exiting BE algorithms, can improve substantially the stability of the traction's time responses for both: bounded and unbounded domain applications. In order to conclude in fact that the proposed time-marching scheme makes possible to broaden the choice of the time step length, the BE time domain response for a classical example is discussed. For this analysis linear time interpolation functions for displacements and tractions are employed. In addition, to the basic idea of the θ time-marching scheme presented here an analysis of stability by numerical experimentation and computational aspects of the time domain BEM algorithm are other topics discussed.