Fundamental solutions for the generalised plane strain theory
Date
2002
Authors
Kotooussov, A.
Wang, C.
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Journal article
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International Journal of Engineering Science, 2002; 40(15):1775-1790
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Abstract
This paper presents some fundamental solutions of the three-dimensional stress distribution pertaining to a point force and an edge dislocation in an infinite plate of arbitrary thickness. These solutions are obtained using the generalised plane strain theory, which assumes that the through-the-thickness extensional strain is uniform in the thickness direction. These solutions recover, as special cases, the plane-strain solutions of the classical theory of elasticity close to the source and the plane-stress solution at large distance away from the source. Using these new solutions, the problem of a through-crack in an infinite plate of arbitrary thickness has been solved analytically. © 2002 Elsevier Science Ltd. All rights reserved.
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Copyright © 2002 Elsevier Science