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Solutions to Particular Three-Dimensional Boundary Value Problems of Elastostatics

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Theory of Elasticity and Thermal Stresses

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 197))

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Abstract

In this chapter the boundary value problems related to torsion of a prismatic bar bounded by a cylindrical lateral surface and by a pair of planes normal to the lateral surface, are discussed. It is assumed that a resultant torsion moment is applied at one of the bases while the other is subject to a warping and the lateral surface is stress free. In each of the problems an approximate three-dimensional formulation is reduced to a two-dimensional one for Laplace’s or Poisson’s equation on the cross section of the bar.

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Correspondence to Reza Eslami .

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© 2013 Springer Science+Business Media Dordrecht

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Eslami, R., Hetnarski, R.B., Ignaczak, J., Noda, N., Sumi, N., Tanigawa, Y. (2013). Solutions to Particular Three-Dimensional Boundary Value Problems of Elastostatics. In: Theory of Elasticity and Thermal Stresses. Solid Mechanics and Its Applications, vol 197. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6356-2_8

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  • DOI: https://doi.org/10.1007/978-94-007-6356-2_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6355-5

  • Online ISBN: 978-94-007-6356-2

  • eBook Packages: EngineeringEngineering (R0)

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