Asymptotic solution of the axisymmetric contact problem for an elastic layer of incompressible material☆
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Cited by (17)
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2019, Applied Mathematical ModellingCitation Excerpt :The contact of solids of finite thickness has also been studied in the light of classical elasticity by many researchers. Due to the difficulty in solving the boundary integral equations, instead of exact solutions, some asymptotic solutions were presented for practical applications [5,8,9]. By contrast, the numerical methods can work it out in a simple and direct manner.
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2015, Mechanics Research CommunicationsDepth-sensing indentation of a transversely isotropic elastic layer: Second-order asymptotic models for canonical indenters
2011, International Journal of Solids and StructuresCitation Excerpt :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.
Contact with stick zone between an indenter and a thin incompressible layer
2011, European Journal of Mechanics, A/SolidsEffective approach to the contact problem for a stratum
2005, International Journal of Solids and Structures
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Prikl. Mat. Mekh. Vol. 67, No. 4, pp. 663–667, 2003.