We consider the axisymmetric problem of creep and creep-induced damage for piecewise homogeneous bodies with meridional sections of any shape. We develop a method for the solution of the initial boundary-value problem based on the combined application of the R-function method and the Runge–Kutta–Merson method. The structures of the solution for the main types of boundary conditions are constructed. We present an example of calculation of creep and long-term strength for a three-layer cylinder used as a computational scheme of a solid-oxide fuel element.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 3, pp. 129–140, July–October, 2013.
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Sklepus, S.M. Solution of the Axisymmetric Problem of Creep and Damage for a Piecewise Homogeneous Body with Meridional Section of Any Shape. J Math Sci 205, 644–658 (2015). https://doi.org/10.1007/s10958-015-2272-1
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DOI: https://doi.org/10.1007/s10958-015-2272-1