Accession Number : ADP006621

Title :   Image Singularities of Green's Functions for Anisotropic Elastic Half-Spaces and Bimaterials,

Corporate Author : ILLINOIS UNIV AT CHICAGO CIRCLE DEPT OF CIVIL ENGINEERING MECHANICS AND METALL URGY

Personal Author(s) : Ting, T. C. T.

Report Date : MAR 1992

Pagination or Media Count : 4

Abstract : Using Stroh's formalism simple explicit expressions of Green's functions for anisotropic elastic half-spaces and bimaterials subject to line forces and line dislocations are presented. One of the novel features is that, knowing the Green's function for an infinite space, Green's functions for half-spaces and bimaterials can be written down immediately with very little derivation. The other novel feature is the physical interpretations of Green's functions. The Green's function for a half-space consists of ten Green's functions for the infinite space. One of the ten Green's functions has its singularities located in the half-space where they are prescribed. The other nine represent image singularities which are located outside of the half-space not occupied by the material. The locations of the nine image singularities as well as the nature of the singularities are presented explicitly. For bimaterials which consists of two anisotropic half-spaces bonded together, there are nine image singularities each for the two materials. Again the locations and the nature of the singularities are presented explicitly. We also suggest graphical solutions for finding the locations of these singularities. Since the Green's function for an infinite space has a real form solution this implies that Green's functions for half-spaces and bimaterials can have a real form solution.

Descriptors :   *ELASTIC PROPERTIES, *GREENS FUNCTIONS, *ANISOTROPY, DISLOCATIONS, FUNCTIONS, IMAGES, MATERIALS, TWO DIMENSIONAL, DEFORMATION.

Subject Categories : Mechanics
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE