Thermal shock and dynamic thermoelasticity
Strigunova A.Y., Kartashow E.M.
Moscow State University of Fine Chemical Technology. University, Department of Higher and Applied Mathematics, Russia, 119571, Moscow, Vernadsky Prospekt, 86, E-mail: nialitta@list.ru
1 pp. (accepted)
Problem of heat stroke - one of the central problems in thermomechanics. Her research on the basis of dynamic thermoelasticity models have been widely developed: the physical laws of the state of thermal stress in isotropic and anisotropic elastic solids based on the classical Fourier feomenology and Maxwell-Kattaneo-Lykov of the finite rate of heat propagation in solids; developed a generalized theory of thermo-mechanical coupling fields with fields of different physical nature; constitutive equations are formulated based on the linearized theory of thermal memory.
Such mechanisms thermal effects as laser, ion, electron radiation, plasma flow in the material can cause an abrupt rise in temperature, the so-called heat stroke. Significant thermal pulses transmitted body can cause uneven expansion of parts of the material, the result is a powerful wave voltages, the magnitude and distribution of which determines the course of the process of interaction and the possibility of destruction of the objects. Therefore, for the study of the physical aspects of such phenomena important task is to find the field of thermal stresses.
The paper considers a number of the following issues:
On the basis of defining relations thermomechanics proposed tensor conclusion compatibility equations in terms of stresses, synthesis ratio Dyugamelya-Mitchell for dynamic problems.
The dynamic response of a massive body in conditions of rapid heating and rapid cooling. Identified: the influence of the inertial effect and the most dangerous mode of thermal loading, leading to thermal stresses Maxima heat stroke.
based operating solutions considered dynamic problem of thermoelasticity proposed important in practical terms, the calculated ratio jumps thermoelastic stresses on the wave front of expansion through the boundary function of the heat problem. The latter allows to estimate the maximum stresses in heat stroke without having a complete solution of the original problem.
The effect of the relaxation properties of the material of a solid in terms of the temperature of heating and cooling of the temperature on the magnitude of thermal stresses in a heat stroke. A significant influence of this effect on the thermal reaction of a solid with heat stroke.
|
