Author： Malits P.
Publisher： Oxford University Press
ISSN： 1464-3855
Source： Quarterly Journal of Mechanics and Applied Mathematics, Vol.65, Iss.2, 2012-05, pp. : 313-332
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Abstract
The plane contact problem of a thin elastic incompressible strip indented by a rigid punch of arbitrary profile is studied in this paper. The problem is formulated in the form of dual integral equations. By using a novel regularization for dual integral equations, the problem is reduced to an integral equation of the second kind whose structure permits an efficient asymptotic solution. Simple relations for the penetration depth, the stress intensity coefficient and the extent of the contact region are obtained. The indentation problems of a flat punch, a symmetric rigid wedge and a rigid circular cylinder are analysed in detail. The dominant term of the solution is derived for a very thin strip. In this case, the closed-form asymptotic solution is given for a flat punch and a punch of power-law profile.
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