Closed-form solutions of the frictional sliding contact problem for a magneto-electro-elastic half-plane indented by a rigid conducting punch |
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Authors: | R Elloumi MA Guler I Kallel-Kamoun S El-Borgi |
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Institution: | 1. Applied Mechanics and Systems Research Laboratory, Tunisia Polytechnic School, University of Carthage, B.P. 743, La Marsa 2078, Tunisia;2. Department of Mechanical Engineering, TOBB University of Economics and Technology, Ankara 06560, Turkey;3. Texas A&M University at Qatar, Mechanical Engineering Program, Engineering Building, Education City, P.O. Box 23874, Doha, Qatar |
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Abstract: | This paper focuses on the study of a frictional sliding contact problem between a homogeneous magneto-electro-elastic material (MEEM) and a perfectly conducting rigid flat punch subjected to magneto-electro-mechanical loads. The problem is formulated under plane strain conditions. Using Fourier transform, the resulting plane magneto-electro-elasticity equations are converted analytically into three coupled singular integral equations in which the main unknowns are the normal contact stress, the electric displacement and the magnetic induction. An analytical closed-form solution is obtained for the normal contact stress, electric displacement and magnetic induction distributions. The main objective of this paper is to study the effect of the friction coefficient and the elastic, electric and magnetic coefficients on the surface contact pressure, electric displacement and magnetic induction distributions for the case of flat stamp profile. |
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Keywords: | Frictional sliding contact Magneto-electro-elastic material Perfectly conducting punch Plane strain Fourier transform Analytical closed-form solution Singular integral equations |
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