Green tensor and regular solutions of equations of rods thermodynamics and their properties

Lyudmila Alexeyevna Alexeyeva, A.N. Dadayeva, Nursaule Ainakeyeva

2021

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DOI 10.15632/jtam-pl/133233
Data confidence 70 medium
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Abstract

In the present paper, solutions of the equations of uncoupled thermoelastodynamics of thermoelastic 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 conditions on their fronts are obtained.The results of numerical calculations of Green tensor are presented.