A linear ? time-marching algorithm in 3D BEM formulation for elastodynamics
A time-marching process similar to the well-known Wilson ?-method is used in order to develop an algorithm for carrying out the 3D time domain analyses with the boundary element method (BEM). The scheme described here, when incorporated to existing BE algorithms, can improve substancially the stability of the tractions 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 ? 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.
linear ? time-marching algorithm elastodynamics 3d time domain bem transient elastic wave propagation linear time traction interpolation