Computational Modeling of Thermoelastic Problems of a Thin Annular Disc

Abstract

The paper is concerned with the inverse unsteady-state problem of thermolelastic deformation of a thin annular disc in the plane state of stress. Homogeneous boundary conditions of the third kind are maintained on curved surfaces of the disc while on the lower plane surface the heat flux is maintained at u(r, t) = 0which a known function of r and t is. The flux is prescribed also on the plane z = which serves as the interior condition. A mathematically this problem of determining the temperature, displacement and stress functions of a thin annular disc is studied. The finite Marchi-Zgrablich and Laplace transform techniques are used to find the solutions of the inverse transient themoelastic problems of a thin annular disc.
Key words: Boundary value problems; Thermoelasticity; Heat conduction