Time-harmonic Green's functions for anisotropic magnetoelectroelasticity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Rojas-Diaz, R.¹  Saez, A.¹  Garcia-Sanchez, F.²  Zhang, Ch.³ 

[1] Univ Seville, Escuela Super Ingn, Dept Mec Medios Continuos, Seville 41092, Spain

[2] Univ Malaga, ETS de Ingn Ind, Dept Ingn Civil, Malaga 29013, Spain

[3] Univ Siegen, Dept Civil Engn, D-57076 Siegen, Germany

关键词: magnetoelectroelastic solids;    time-harmonic Green's functions;    boundary element method (BEM);    Radon-transform;   

DOI  :  10.1016/j.ijsolstr.2007.07.024

来源: Elsevier

【 摘 要 】

Two-dimensional (2-D) and three-dimensional (3-D) time-harmonic Green's functions for linear magnetoelectroelastic solids are derived in this paper by means of Radon-transform. Displacement field and electric and magnetic potentials in a fully anisotropic magnetoelectroelastic infinite solid due to a time-harmonic point force, point charge and magnetic monopole are obtained in form of line integrals over a unit circle in 2-D case and surface integrals over a unit sphere in 3-D case. This dynamic fundamental solution is then split into the sum of regular dynamic plus singular terms. The singular terms coincide with the Green's functions for the static problem and may be further reduced to closed form expressions. The proposed Green's functions can be used in the corresponding boundary element method (BEM) formulation. (C) 2007 Elsevier Ltd. All rights reserved.

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