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Content available Green tensor and regular solutions of equations of rods thermodynamics and their properties
Alexeyeva Lyudmila, Dadayeva Assyat, Ainakeyeva Nursaule
Journal of Theoretical and Applied Mechanics
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2021
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Vol. 59 nr 2
227--238
EN
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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