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The contact problem of a rigid stamp with friction on a functionally graded magneto-electro-elastic half-plane

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Abstract

We consider in this study the frictional sliding contact problem between a functionally graded magneto-electro-elastic material and a perfectly conducting rigid 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 unknowns are the normal contact stress, the electric displacement and the magnetic induction. These integral equations are then solved numerically to obtain the distributions of the normal contact stress, electric displacement and magnetic induction at the surface of the graded medium. The main objective of this paper is to study the effect of the non-homogeneity parameter, 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 and circular punch profiles.

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Authors and Affiliations

  1. Applied Mechanics and Systems Research Laboratory, Tunisia Polytechnic School, University of Carthage, B.P. 743, 2078, La Marsa, Tunisia

    Rana Elloumi

  2. Mechanical Engineering Program, Texas A&M University at Qatar, Engineering Building, P.O. Box 23874, Education City, Doha, Qatar

    Sami El-Borgi

  3. Department of Mechanical Engineering, TOBB University of Economics and Technology, 06560, Ankara, Turkey

    Mehmet A. Guler

  4. Department of Civil Engineering, National Engineering School of Sfax, University of Sfax, Route Soukra Km 3.5, B.P. 1173, 3038, Sfax, Tunisia

    Imen Kallel-Kamoun

Authors
  1. Rana Elloumi
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  2. Sami El-Borgi
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  3. Mehmet A. Guler
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  4. Imen Kallel-Kamoun
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Correspondence to Mehmet A. Guler.

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Elloumi, R., El-Borgi, S., Guler, M.A. et al. The contact problem of a rigid stamp with friction on a functionally graded magneto-electro-elastic half-plane. Acta Mech 227, 1123–1156 (2016). https://doi.org/10.1007/s00707-015-1504-2

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  • DOI: https://doi.org/10.1007/s00707-015-1504-2

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