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An adhesive contact problem for an incompressible non-homogeneous elastic halfspace

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Abstract

In this paper, we examine the axisymmetric adhesive contact problem for a rigid circular plate and an incompressible elastic halfspace where the linear elastic shear modulus varies exponentially with depth. The analytical solution of the mixed boundary value problem entails a set of coupled integral equations that cannot be solved easily by conventional integral transform techniques proposed in the literature. In this paper, we adopt a computational scheme where the contact normal and contact shear stress distributions are approximated by their discretized equivalents. The consideration of compatibility of deformations due to the indentation by a rigid indenter in adhesive contact gives a set of algebraic equations that yield the discretized equivalents of the contacts stresses and the axial stiffness of the medium.

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Authors and Affiliations

  1. Department of Civil Engineering and Applied Mechanics, McGill University, 817 Sherbrooke Street West, Montreal, QC, H3A 0C3, Canada

    A. P. S. Selvadurai & A. Katebi

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  1. A. P. S. Selvadurai
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  2. A. Katebi
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Correspondence to A. P. S. Selvadurai.

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Selvadurai, A.P.S., Katebi, A. An adhesive contact problem for an incompressible non-homogeneous elastic halfspace. Acta Mech 226, 249–265 (2015). https://doi.org/10.1007/s00707-014-1171-8

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  • DOI: https://doi.org/10.1007/s00707-014-1171-8

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