BEM analysis of two-dimensional elastodynamic problems of anisotropic solids

A direct BEM (boundary element method) formulation and its numerical implem entation for steady-state elastodynamic analysis of two-dimensional problem s involving orthotropic and nonorthotropic solids of arbitrary shape is pre sented. The present formulation is developed by incorporating isoparametric quadratic boundary elements, a rigorous self-adapting numerical integratio n scheme, and the Green's functions of Wang and Rajapakse for two-dimension al orthotropic solids. The full-space as well as the half-space Green's fun ctions have been implemented. The formulation is capable of treating multid omain problems by substructuring and satisfying the equilibrium and displac ement compatibility at the interfaces. Thus, problems related to the layere d media and soil-structure interaction can all be analyzed. The accuracy an d reliability of the present BEM analysis are demonstrated through comparis on of results obtained for a few example problems with published solutions. Finally, the applicability of this methodology is demonstrated by analyzin g three types of problems, a rigid strip footing embedded in an orthotropic half-space, a strip footing resting on an orthotropic stratum overlaying a n orthotropic half-space, and a rigid strip footing embedded in a nonorthot ropic half-space.