Inverse Transient Thermoelastic Problem of Semi-Infinite Thick Hollow Cylinder

Inverse Transient Thermoelastic Problem of Semi-Infinite Thick Hollow Cylinder Abstract- This paper is concerned with inverse transient thermoelastic problem in which we need to determine the temperature distribution, displacement function and thermal stresses of a semi-infinite hollow cylinder when the boundary conditions are known. Integral transform techniques are used to obtain the solution of the problem. Key Words: Semi-infinite hollow cylinder, transient problem, Integral transform, […]

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Integral Transform Methods for Inverse Problem of Heat Conduction with Known Boundary of SemiInfinite Hollow Cylinder and Its Stresses

Abstract: Three dimensional inverse transient thermoelastic problem of a semi-infinite hollow cylinder is considered within the context of the theory of generalized thermoelasticity. The lower surface, upper surface and inner surface of the semiinfinite hollow cylinder occupying the space D={(x,y,z)E R3: a≤(x2+y2)1/2 ≤b, 0≤z≤∞} known boundary conditions. Finite Marchi-Zgrablich transform and Fourier sine transform techniques are used to determine the unknown temperature gradient, temperature distribution, […]

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