Asymptotic solution of the axisymmetric contact problem for an elastic layer of incompressible material

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Abstract

The solution of the axisymmetric contact problem for an elastic layer made of incompressible material and clamped along the base is constructed by regular and singular asymptotic methods.

References (5)

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    Non-classical Three-dimensional Problems of the Mechanics of Contact Interactions of Elastic Bodies

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    Aleksandrov (1969) obtained an asymptotic solution when Poisson’s ratio, ν, of the layer material is not very close to 0.5. The case of an incompressible layer material with ν = 0.5 was first studied by Matthewson (1981) and after that in Chadwick (2002), Aleksandrov (2003). For dealing with non-axisymmetric situations, Barber (1990) developed an approximate method of Jaffar (1989) and Johnson (1985) extending their axisymmetric solutions for the three-dimensional problem of elliptical contact.

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Prikl. Mat. Mekh. Vol. 67, No. 4, pp. 663–667, 2003.

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