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
Assyat Dadayeva   

Ministry of Education and Science of the Republic of Kazakhstan, Institute of Mathematics and Mathematical Modelling, 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
Journal of Theoretical and Applied Mechanics 2021;59(2):227–238
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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