This is an open access article distributed under the CC BY 4.0
This article is relevant, as changes during the external loading may affect the stress state of the materials. The aim of
this paper is to consider the numerical modeling of heating for circular cylinders in the frame of the theory of elastic
materials with voids. A numerical solution is build using COMSOL Multiphysics software, where the implementation of
the considered theory is realized based on the direct equation-definition approach. Constitutive relations were written
in General form partial differential equation module. A matrix form of the equations for the two-dimensional case was
used. Scale effects arising in considered problems are discussed. The classical solution is the particular case of the
considered theory, when the coupling number tends to asero, i.e. when the micro-dilatation effects are small and do
not affect the material’s stress state. The limiting case in the case of the small value of the coupling number is the
classical thermoelasticity solution.
This work was supported by the RFBR grant 18-08-
00643-a, 20-01-00517-а and by the Grant of the President
of the Russian Federation No MK-3869-2019.8.
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