Application of an Integral Equation Method to Coated Half-Spaces
Date Issued
2010
Date
2010
Author(s)
Lin, I-Hsuan
Abstract
The objective of this thesis is to discuss the stress distribution of a line dislocation or a line force in a coated half-spaces. A coated half-space is a half-space perfectly coated with a layer with finite thickness. The Green’s function for anisotropic biomaterials is used to construct a nonsingular boundary integration for coated half-spaces with a line force or a line dislocation. The basic unknown in the integral equation is the gradient of the surface displacement, which can be calculated numerically using Gaussian quadrature as the related integral is non-singular. The stress fields at any point in the coated half-space can be computed once the gradient of the surface displacement is determined. Comparison with the existing results show that the proposed method is highly accurate.
Subjects
coated half-spaces
boundary integration equations
dislocation
image force
Type
thesis
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