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Interaction of a die with a layered elastic foundation

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Abstract

Plane and axisymmetric contact problems for a three-layer elastic half-space are considered. The plane problem is reduced to a singular integral equation of the first kind whose approximate solution is obtained by a modified Multhopp-Kalandiya method of collocation. The axisymmetric problem is reduced to an integral Fredholm equation of the second kind whose approximate solution is obtained by a specially developed method of collocation over the nodes of the Legendre polynomial. An axisymmetric contact problem for an transversely isotropic layer completely adherent to an elastic isotropic half-space is also considered. Examples of calculating the characteristic integral quantities are given.

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Authors and Affiliations

  1. Lomonosov State University, Moscow, 119992

    A. A. Kalyakin

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  1. A. A. Kalyakin
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 3, pp. 165–175, May–June, 2006.

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Kalyakin, A.A. Interaction of a die with a layered elastic foundation. J Appl Mech Tech Phys 47, 446–454 (2006). https://doi.org/10.1007/s10808-006-0076-2

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  • DOI: https://doi.org/10.1007/s10808-006-0076-2

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