scholarly journals Green's Functions for Torsional Body Force Problems of an Elastic Layer on an Elastic Half Space

1990 ◽  
Vol 33 (4) ◽  
pp. 468-473
Author(s):  
Hisao HASEGAWA
Keyword(s):  
Half Space ◽  
Elastic Layer ◽  
Green's Functions ◽  
Body Force ◽  
Green’S Functions ◽  
Elastic Half Space

The Singularity at the Apex of a Bonded Wedge-Shaped Stamp

1979 ◽  
Vol 46 (3) ◽  
pp. 577-580 ◽  
Author(s):  
K. S. Parihar ◽  
L. M. Keer
Keyword(s):  
Eigenvalue Problem ◽  
Numerical Solution ◽  
Integral Equations ◽  
Half Space ◽  
Singular Integral ◽  
Green's Functions ◽  
Green’S Functions ◽  
Singular Integral Equations ◽  
Elastic Half Space

The problem of determining the singularity at the apex of a rigid wedge bonded to an elastic half space is formulated by considerations of Green’s functions for the loaded half space. The eigenvalue problem is reduced to finding the solution of a coupled pair of singular integral equations. A numerical solution for small wedge angles is given.

scholarly journals Green’s functions for a volume source in an elastic half-space

2012 ◽  
Vol 131 (3) ◽  
pp. 1831-1842 ◽  
Author(s):  
Evgenia A. Zabolotskaya ◽  
Yurii A. Ilinskii ◽  
Todd A. Hay ◽  
Mark F. Hamilton
Keyword(s):  
Half Space ◽  
Green's Functions ◽  
Green’S Functions ◽  
Elastic Half Space ◽  
Volume Source

Green’s Functions for Axisymmetric Problems of Dissimilar Elastic Solids

1992 ◽  
Vol 59 (2) ◽  
pp. 312-320 ◽  
Author(s):  
Hisao Hasegawa ◽  
Ven-Gen Lee ◽  
Toshio Mura
Keyword(s):  
Green's Functions ◽  
Body Force ◽  
Green’S Functions ◽  
Elastic Solid ◽  
Axial Direction ◽  
Elastic Half Space ◽  
Axisymmetric Body ◽  
Elastic Solids ◽  
Axisymmetric Problems ◽  
Special Case

Green’s functions are obtained for axisymmetric body force problems of dissimilar elastic solids. The Green’s functions are defined as a solution to the problem of a dissimilar elastic solid subjected to axisymmetric body forces acting along a circle in a radial, a torsional, and an axial direction. As a special case of the present results, Green’s functions are obtained for problems of an elastic half-space with the free surface or rigidly fixed surface and of a homogeneous isotropic elastic solid. An application of the Green’s functions is investigated for an eigenstrain problem.

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