Title: Green's function for a coated elliptic hole problem in plane elasticity

Authors: Ching Kong Chao, Chin Kun Chen, Fu Mo Chen, Alexander M. Korsunsky

Addresses: Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, Taiwan. ' Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, Taiwan. ' Department of Mechanical Engineering, Nan-Kai University of Technology, 568 Chung Cheng Road, Tsao Tun, Taiwan. ' Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK

Abstract: A general analytical solution for the plane problem of elasticity about a reinforced elliptic hole embedded in an infinite matrix subjected to a point load is derived in this paper. Based on the technique of conformal mapping and the method of analytical continuation in conjunction with the alternating technique, the general expressions for the displacement and stresses in the reinforcement layer and the matrix are derived explicitly in a series form. Some numerical results are provided to investigate the effects of the material combinations and geometric configurations on the interfacial stresses induced by a point force in this work.

Keywords: point load; dislocation; coated elliptic holes; Green|s function; elasticity; conformal mapping; displacement; stress; reinforced elliptic holes.

DOI: 10.1504/IJTAMM.2010.038277

International Journal of Theoretical and Applied Multiscale Mechanics, 2010 Vol.1 No.4, pp.281 - 307

Published online: 26 Jan 2011 *

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