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

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Abstract

Lur’e (1964, section 2.10) obtained the 3-D solution for the elastic equilibrium of a cone loaded by a force applied at its apex. The solution of the general 3-D problem for of a circular cone involves the integral expansion of vector functions in terms of the complete system of vector harmonics on the cone surface with help of a Mellin integral transformation and a Fourier series (Ulitko (1979)). The solution of the static thermoelasticity problem was obtained for a transversally-isotropic cone in Podil’chuk (1992).

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© 2001 Kluwer Academic Publishers

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Alexandrov, V.M., Pozharskii, D.A. (2001). Contact Problems for a Cone. In: Three-Dimensional Contact Problems. Solid Mechanics and Its Applications, vol 93. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9893-9_5

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  • DOI: https://doi.org/10.1007/978-94-010-9893-9_5

  • 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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