Open Access

ARTICLE

The Stress Analysis of Thin Contact Layers: a Viscoelastic Case

C. Y. Chen¹, C. Atkinson²

1 Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, Taiwan
2 Department of Mathematics, Imperial College, Queen’s Gate, London SW7 2BZ, U.K.

Computer Modeling in Engineering & Sciences 2009, 48(3), 219-240. https://doi.org/10.3970/cmes.2009.048.219

Abstract

In this paper, we extend our previous analysis of a contact problem with a circular indenter pressed normally against a semi-infinite elastic composite to that of a semi-infinite viscoelastic composite which consists of a contact layer with uniform thickness welded together with another dissimilar medium. Using the correspondence principle between the Laplace transformed elastic equations and the viscoelastic ones, the asymptotic results derived previously for the pure elastic case are readily adopted for the viscoelastic one with the elastic constants replaced by appropriate functions of Laplace transformed variables for the linear viscoelastic solid. We focus our analysis on the force induced by the uniform indentation and investigate the effect of the contact layer and its property on the force generated. The Laplace transformed force is inverted using the method developed by Schapery to give the real time behaviour of the force.

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Keywords

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