Open AccessAnalysis of the generalized heat equation applied to the solution of the dynamic problem of thermoelasticity
Author(s) -
Б. А. Зимин,
Б. А. Зимин,
Yu. V. Sud’enkov,
Ю В Судьенков
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524855574-578
Subject(s) - heat equation , energy exchange , heat exchanger , relaxation (psychology) , dispersion (optics) , energy (signal processing) , heat transfer , dynamic equation , process (computing) , thermal , heat wave , mathematics , mathematical analysis , physics , mechanics , thermodynamics , computer science , geology , quantum mechanics , psychology , social psychology , statistics , atmospheric sciences , oceanography , nonlinear system , climate change , operating system
Based on the approximate solution of the dispersion equation, the paper presents an analysis of the system of dynamic thermoelasticity equations taking into account the generalized heat equation. It is noted that during the wave process of heat transfer, a sufficiently intensive process of energy exchange between thermal and elastic fields is realized, while depending on the relations of the characteristic relaxation times, the direction of energy exchange can change.