A spectral method for numerical elastodynamic fracture analysis without spatial replication of the rupture event

摘要

Perrin et al. (1995) and Geubelle and Rice (1995) have introduced a spectral method for numerical solution of two-and three-dimensional elastodynamic fracture problems. The method applies for ruptures confined to a plane separating homogeneous elastic half spaces. In this method, the physical variables, such as the traction components of stress and displacement discontinuity on the rupture plane, are represented as Fourier series in space with time-dependent coefficients.