Abstract
We propose a method for the determination of the stress-strain state formed in a multilayer plate under the conditions of radiation and convection heating with regard for the temperature and time dependences of the coefficients of heat exchange. The problem of heat conduction is reduced to the solution of a system of Volterra-type nonlinear integral equations of the second kind for the values of temperature on the outer surfaces of the plate. The integral equations are deduced with the help of the Green function of the nonstationary problem of heat conduction for the multilayer plate with constant coefficients of heat exchange and solved by using linear splines. The problem of thermoelasticity is solved in stresses. The boundary conditions on the cylindrical surface are satisfied in the integral form. The results of the corresponding numerical calculations are presented.
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