The Three-Dimensional Thermoelasticity Problem as Applied to Heating Division Walls of Coke-Oven Batteries

摘要

The present paper is concerned with the thermoelasticity problem in the quasistatic formulation. Under ordinary heat-exchange conditions the dynamic effects caused by nonsteady-state heating and the heat fluxes formed due to deformation are so insignificant that the corresponding terms in thermoelasticity equations may be eliminated. The system of basic equations splits into an equation of nonstationary thermal conductivity and equations that describe the problem of thermoelastic stresses in a given temperature field.The first stage in the solution of the quasistatic thermoelasticity problem is to determine the corresponding temperature field with the aid of methods of the theory of thermal conduction.If the macroscopic properties of a system vary with time, then in such a system there occurs a process called an equilibrium (quasistatic) process (1). The variation of all the parameters of the system occurs physically infinitely slowly so that at each moment of time the system is in a state of thermodynamic equilibrium.