The multi-domain FMM-IBEM to model elastic wave scattering by three-dimensional inclusions in infinite domain. (November 2015)

• Record Type: Journal Article
• Authors: Liu, Zhongxian; Wu, Fengjiao; Wang, Dong
• Is Part Of: Engineering analysis with boundary elements. Volume 60(2015:Nov.)
• Page Start: 95
• Page End: 105
• Publication Date: 2015-11
• Subjects: Inclusions -- Scattering of elastic wave -- The indirect boundary element method -- Fast multipole method -- Multi-domain problem; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2015.02.003
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The scattering of elastic wave by three-dimensional (3-D) inclusions embedded in solid infinite domain is solved by a Fast Multipole accelerated multi-domain Indirect Boundary Element Method (FMM-IBEM). Based on the single-layer potential theory, the scattered field is constructed by virtual uniform loads acted on circular elements covering the boundary surface, and then the analytic integration of the exact Green's function for infinite space can be applied. By using the Taylor series expansion of compressional and shear waves potential function, the multipole expansion and local expansion coefficients of Green's function are deduced. The detailed procedure of multi-domain FMM-IBEM for such problem is presented. It is verified that this method substantially improves the computing efficiency and reduces the memory storage, then the elastic wave scattering problems involving millions of degrees of freedom ( DOFs ) can be solved accurately and efficiently on an ordinary workstations. Finally, the scattering problems of P, SV waves by spherical inclusions group and 3-D random inclusions in elastic infinite domain are solved, and some important characteristics of plane P and SV waves scattering by inclusions group are discussed through typical numerical results.