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Contact Problems for Spherical Lens

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Three-Dimensional Contact Problems

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 93))

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Abstract

In this chapter the method for reducing a problem in the theory of elasticity to a generalized, in the sense of I.N.Vekua, Hilbert boundary-value problem, is extended to a mixed 3-D problem for a truncated sphere with a rigidly fixed spherical surface. The normal stresses at the cut are specified. The problems for a half-space with a spherical hollow or jut are treated similarly. The systems of functional equations of these problems are transformed to systems of singular integral equations. Then contact problems of a circular and annular punch punch are considered. Integral equations of these problems are reduced, supposing a geometric symmetry of contact regions, to Fredholm integral equations of the second kind with help of the method of paired equations.

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© 2001 Kluwer Academic Publishers

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Alexandrov, V.M., Pozharskii, D.A. (2001). Contact Problems for Spherical Lens. In: Three-Dimensional Contact Problems. Solid Mechanics and Its Applications, vol 93. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9893-9_6

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  • DOI: https://doi.org/10.1007/978-94-010-9893-9_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0387-5

  • Online ISBN: 978-94-010-9893-9

  • eBook Packages: Springer Book Archive

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