Bonded contact of a flexible elliptical disk with a transversely isotropic half-space |
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| Affiliation: | 1. College of Mathematical Science, Tianjin Normal University, Tianjin City 300071, PR China;2. Department of Mathematics, Taiyuan University of Technology, Taiyuan Shanxi 030024, PR China;1. State Key Laboratory of Software Engineering, Computer School, Wuhan University, Wuhan, 430072, China;2. Centre for Cyber Security Research, Deakin University, Australia;3. School of Information Technology, Deakin University, Burwood, VIC 3125, Australia;4. College of Computer and Information Sciences, King Saud University, Riyadh, Kingdom of Saudi Arabia |
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| Abstract: | The article concerns the problem of bonded contact of a thin, flexible elliptical disk with a transversely isotropic half-space. Three different cases of loading have been considered: (a) the disk is loaded by a transverse force, whose line of action passes through the center of the disk and lies in the plane of the disk; (b) the disk is subjected to a rotation by a torque, whose axis is perpendicular to the surface of the half-space; (c) the half-space with the bonded disk is under uniform stress field at infinity. The problem corresponding to all three cases is reduced, in a unified manner, to a set of coupled two-dimensional integral equations. Closed-form solutions for these equations have been obtained by using Galins theorem. |
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