Thermal persponse of a massive body to heat stroke on the basis of the hyperbolic type equations

 
PIIS000233100002731-8-1
DOI10.31857/S000233100002366-6
Publication type Article
Status Published
Authors
Affiliation: Moscow Technological University (MITHT)
Address: Russian Federation, Moscow
Affiliation: Moscow Aviation Institute (National Research University)
Address: Russian Federation, Moscow
Journal nameIzvestiia Rossiiskoi akademii nauk. Energetika
EditionIssue 4
Pages73-86
Abstract

The theory of dynamic thermoelasticity in the problem of thermal shock is developed on the basis of Maxwell–Cattaneo–Lykov–Vernot phenomenology on the finite velocity of heat propagation in solids. A compatibility equation in stresses is proposed that generalizes the Beltrami–Mitchell relation to dynamic problems and as a special case of the investigational thermal reaction of a massive solid body to a non-thermal shock. Different modes of sudden training of the body spray were studied: temperature, thermal, environment. The most dangerous mode of thermal influence is revealed; stress jumps at the front of a thermoelastic wave are calculated, as ratios that have great practical importance in the evaluation of thermal strength of solid body under thermal shock conditions.

Keywordsheat stroke; the final velocity of heat propagation; dynamic thermoelastic stresses; stress jumps
Publication date04.12.2018
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