Thermal shock and dynamic thermoelasticity on the basis of the hyperbolic type equations

Аuthors

Kartashov E. M.^1*, Nenakhov E. V.^2**

1. MIREA — Russian Technological University (Lomonosov Institute of Fine Chemical Technologies), 78, Vernadsky prospect, Moscow, 119454, Russia
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: kartashov@mitht.ru
**e-mail: newnew94@mail.ru

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.

Keywords:

heat stroke, the final velocity of heat propagation, dynamic thermoelastic stresses, stress jumps

References

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