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The Quarterly Journal of Mechanics and Applied Mathematics Advance Access originally published online on June 3, 2009
The Quarterly Journal of Mechanics and Applied Mathematics 2009 62(3):281-295; doi:10.1093/qjmam/hbp013
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© The author 2009. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Axisymmetric contact of a rigid inclusion embedded at the interface of a piezoelectric bimaterial

M. Eskandari, S. S. Moeini-Ardakani and H. M. Shodja{dagger}

( Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, PO Box 11155-9313, Tehran, Iran )

{dagger} <shodja{at}sharif.edu>

Received 30 September 2008. Revise 11 April 2009. Accepted 17 April 2009.


  Abstract

The axisymmetric contact problem of a rigid inclusion embedded in the piezoelectric bimaterial frictionless interface subjected to simultaneous far-field compression and electric displacement is addressed. With the aid of a robust technique, the coupled governing integral equations of this mixed boundary-value problem are reduced to decoupled Fredholm integral equations with a constraint equation. A useful limiting case for the contact problem of transversely isotropic bimaterials is addressed. The present solution is analytically in agreement with the existing solution for an isotropic bimaterial. Selected numerical results of interest to engineering applications including the radius of separation zone, contact pressure and contact electric displacement are plotted to portray the effects of precompression, piezoelectric coupling and material properties.


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