Anti-plane shear Green's functions for an isotropic elastic half-space with a material surface

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Chen, W. Q.²  Zhang, Ch.¹ 

[1] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany

[2] Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Zhejiang, Peoples R China

关键词: Green's functions;    Elastic half-space;    Anti-plane shear;    Surface elasticity;   

DOI  :  10.1016/j.ijsolstr.2010.03.007

来源: Elsevier

【 摘 要 】

This paper presents analytical Green's function solutions for an isotropic elastic half-space subject to antiplane shear deformation. The boundary of the half-space is modeled as a material surface, for which the Gurtin-Murdoch theory for surface elasticity is employed. By using Fourier cosine transform, analytical solutions for a point force applied both in the interior or on the boundary of the half-space are derived in terms of two particular integrals. Through simple numerical examples, it is shown that the surface elasticity has an important influence on the elastic field in the half-space. The present Green's functions can be used in boundary element method analysis of more complicated problems. (C) 2010 Elsevier Ltd. All rights reserved.

【 授权许可】

Free