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Axially symmetric temperature stresses in an elastic isotropic cylinder of finite length

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We consider an axially symmetric problem of the thermostressed state of a solid cylinder of finite length with a load-free surface. Using the method of superposition, we have constructed the complete analytical solution of this problem, which is reduced to the solution of a system of linear algebraic equations. We have proposed a method for determining the asymptotic behavior of coefficients in these systems, which enables us to develop an efficient algorithm for the calculation of stresses in the cylinder, including regions near its end-face circles. Typical examples are considered.

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Authors and Affiliations

  1. Shevchenko National University of Kyiv, Kyiv, Ukraine

    V. V. Meleshko

  2. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    Yu. V. Tokovyy

  3. University of Michigan, Ann-Arbor, USA

    J. R. Barber

Authors
  1. V. V. Meleshko
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  2. Yu. V. Tokovyy
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  3. J. R. Barber
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 53, No. 1, pp. 120–137, January–March, 2010.

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Meleshko, V.V., Tokovyy, Y.V. & Barber, J.R. Axially symmetric temperature stresses in an elastic isotropic cylinder of finite length. J Math Sci 176, 646–669 (2011). https://doi.org/10.1007/s10958-011-0428-1

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