
Accession Number : ADP006621
Title : Image Singularities of Green's Functions for Anisotropic Elastic HalfSpaces 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 halfspaces 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 halfspaces 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 halfspace consists of ten Green's functions for the infinite space. One of the ten Green's functions has its singularities located in the halfspace where they are prescribed. The other nine represent image singularities which are located outside of the halfspace 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 halfspaces 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 halfspaces 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