Since 1963
ARTICLE
Green tensor and regular solutions of equations of rods thermodynamics and their properties
| 1 | Institute of Mathematics and Mathematical Modelling, Ministry of Education and Science of Kazakhstan, Almaty, Kazakhstan |
CORRESPONDING AUTHOR
Assyat Dadayeva
Ministry of Education and Science of the Republic of Kazakhstan, Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan
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
KEYWORDS
TOPICS
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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3.
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