ARTICLE
Green tensor and regular solutions of equations of rods thermodynamics and their properties
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Institute of Mathematics and Mathematical Modelling, Ministry of Education and Science of Kazakhstan, Almaty, Kazakhstan

Submission date: 2020-09-14

Final revision date: 2021-01-14

Acceptance date: 2021-01-21

Online publication date: 2021-03-02

Publication date: 2021-04-15

Corresponding author

Ministry of Education and Science of the Republic of Kazakhstan, Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan

Journal of Theoretical and Applied Mechanics 2021;59(2):227-238

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ABSTRACT
In the present paper, solutions of the equations of uncoupled thermoelastodynamics of ther- moelastic rods are constructed for power and thermal effects. Based on the Fourier transform, the Green tensor and generalized solutions of the thermoelasticity equations are constructed in the original space-time using the apparatus of generalized functions theory. Analytical formulas for definitions of the thermal stress-strain state of the rods taking into account its thermoelastic parameters are obtained. Shock thermoelastic waves are considered and con- ditions on their fronts are obtained. The results of numerical calculations of Green tensor are presented.

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