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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 3, Pages 165–175
(Mi pmtf2162)
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This article is cited in 2 scientific papers (total 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.
Received: 14.07.2005
Citation:
A. A. Kalyakin, “Interaction of a die with a layered elastic foundation”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 165–175
Linking options:
https://www.mathnet.ru/eng/pmtf2162 https://www.mathnet.ru/eng/pmtf/v47/i3/p165
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Abstract page: | 13 | Full-text PDF : | 6 |
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