This article is cited in 2 papers

Interaction of a die with a layered elastic foundation

A. A. Kalyakin

Lomonosov State University, Moscow, 119992

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.

Keywords: contact problem, layered elastic foundation, die.

UDC: 539.3

Received: 14.07.2005

 English version: DOI: 10.1007/s10808-006-0076-2

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