Abstract
An analytic method of determining the temperature stresses in circular cylinders is described. In the solution of the problem, based on a collocation method, together with the finite length of the cylinder its arbitrary inhomogeneity is also taken into account. In a particular case this may be caused by the effect of temperature on the mechanical constants of the material, which is especially typical of polymers at negative temperatures. The results of a calculation of the stresses in a hollow cylinder of finite length with a variable modulus of elasticity are presented as an example.
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Literature cited
L. N. Ter-Mkrtich'yan, PMM,25, 6 (1961).
Additional information
Dzherzhinskii Military Engineering Academy. Translated from Mekhanika Polimerov, Vol. 4, No. 4, pp. 710–715, July–August, 1968.
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Oganov, E.P., Sinyukov, A.M. Temperature stresses in an inhomogeneous cylinder of finite length. Polymer Mechanics 4, 554–558 (1968). https://doi.org/10.1007/BF00855772
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DOI: https://doi.org/10.1007/BF00855772