The Non-Fourier Analysis Of Distribution Of Thermal Stresses In The Thin Plate In The Condition Of The Strongly Transient First Boundary Condition

After the Second World War, the thermoelasticity mechanics is more and more important in the domain of the engineering, with the rapid development of the fire science, heat energy power, nuclear power, mechanical manufacture, chemical industry, high speed aeroplane, space navigation and rocketry.Usually, people solve the engineering problem by use of the classical Fourier theory of heat conduction. However, the problem of strongly transient heat conduction and super-low temperature is appearing in the practical engineering problem more and more frequently, with the advancement of the technology. The result of studying indicated that: the transfer of quantity of heat in the process of transient heat conduction (especially, some uttermost condition such as laser heating, etc.) is different from the theory of classical heat conduction in the physical mechanism of diffusion behavior. The theory of heat conduction based on the classical Fourier law is hardly explaining the law of the transfer of quantity of heat in this condition reasonably. In 1970s, people studied the heat wave (the theory of non-Fourier effect), and discussed the application of the non-Fourier effect in the practical engineering, which enrich the content of the subject of heat transfer.This work is studying the one dimensional strongly transient heat conduction problem in a rapidly heated thin plate which is in the condition of the first boundary condition. Author obtains the analytical solutions of temperature field by used of the hyperbolic heat conduction model characterizing the non-Fourier effect. Then author is comparing the hyperbolic analytical solutions with the parabolic analytical solutions obtained from the parabolic heat conduction model characterizing the Fourier effect, so that obtaining the applying range respectively. Moreover, on the basis of the theory of thermoelasticity mechanics, author is studying the distribution of thermal stresses in the thin plate supported simply in the temperature field determined in this work.The purpose of this work is questing about the law of transient heat conduction and the distribution of thermal stresses of the model described in this work in the condition of the first boundary condition from the finite work of author. So that author can obtain some valuable conclusions, and provide the practical engineering with some data referenced worthily.