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The problem of an inclusion in a three-dimensional elastic wedge
Institution:1. Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, USA;2. Department of Mechanical & Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA;1. Mechanical Engineering Research Institute, 4 Maly Kharitonievsky lane, Moscow, 101990, Russia
Abstract:Fundamental solutions for a three-dimensional wedge are used to investigate problems of a thin, rigid, elliptic inclusion in a wedge. A regular asymptotic form is employed which has previously been used in contact problems for a wedge 1] and in problems of a crack in a wedge 2] in the case of an elliptic shape of the contact region or crack. The method is effective in the case of an inclusion which is sufficiently distant from an edge of the wedge when the known exact solution for the space 3] can be taken as the zeroth approximation. A numerical analysis and comparison of different characteristics of wedge problems is carried out.
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