Dynamic crack problems in three-dimensional transversely isotropic solids

In this paper, a general boundary element approach for three-dimensional dy namic crack problems in transversely isotropic bodies is presented for the first time. Quarter-point and singular quarter-point elements are implement ed in a quadratic isoparametric element context. The procedure is based on the subdomain technique, the displacement integral representation for elast odynamic problems and the expressions of the time-harmonic point load funda mental solution for transversely isotropic media. Numerical results corresp onding to cracks under the effects of impinging waves are presented. The ac curacy of the present approach for the analysis of dynamic fracture mechani cs problems in transversely isotropic solids is shown by comparison of the obtained results with existing solutions. (C) 2001 Elsevier Science Ltd. Al l rights reserved.