Frictional contact problem between a functionally graded magnetoelectroelastic layer and a rigid conducting flat punch with frictional heat generation

Ju Ma, Sami El-Borgi, Liao Liang Ke, Yue Sheng Wang

Research output: Contribution to journalArticle

16 Citations (Scopus)


In this study, we consider the frictional sliding contact problem between a functionally graded magnetoelectroelastic (MEE) layer resting on a perfectly insulated rigid half plane and a perfectly conducting rigid flat punch with frictional heat generation. The punch is subjected to magnetoelectromechanical loads. The graded layer is modeled as a nonhomogeneous medium with a transversely isotropic stress-strain law and an exponential variation of the magnetoelectrothermoelastic properties along the thickness direction. Neglecting inertia effects and assuming a constant friction coefficient, the solution is obtained within the framework of steady-state plane magnetoelectrothermoelasticity under plane strain conditions. The heat equation is first solved using Fourier transform to yield the temperature field in the layer which is then substituted in the MEE governing equations. These equations are solved analytically using the same transform leading to three coupled Cauchy-type singular integral equations in which the main unknowns are the normal contact stress, the electric displacement, and the magnetic induction. These 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 nonhomogeneity 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 punch profile.

Original languageEnglish
Pages (from-to)245-277
Number of pages33
JournalJournal of Thermal Stresses
Issue number3
Publication statusPublished - 3 Mar 2016



  • Fouriertransform
  • frictional slidingcontact
  • functionallygraded magnetoelectroelasticlayer
  • perfectlyconductingpunch
  • singularintegralequations

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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