Elastodynamics by BEM: a new direct formulation

A new direct BE formulation is proposed for the solution of elastodynamic problems. An analytical regular- ization procedure is devised via an integration-by-parts technique without introducing any hypothesis about either the discretization of the boundary geometry or the space{time interpolation of the elastic elds in- volved. The only requirement is for continuity in the displacement eld. The regularization of the integral equations for static elasticity using the same approach, already available in the literature, is presented as a particular case of the general procedure introduced herein. The numerical implementation of this technique is discussed and two-dimensional examples are presented.