Exact solution for asymmetric transient thermal and mechanical stresses in FGM hollow cylinders with heat source

M. Jabbari , A.R. Vaghari , A. Bahtui , M.R. Eslami

Abstract

Transient solution of asymmetric mechanical and thermal stresses for hollow cylinders made of functionally graded material is presented. Temperature distribution, as function of radial and<br />circumferential directions and time, is analytically obtained, using the method of separation of variables and generalized Bessel function. A direct method is used to solve the Navier equations, using the Euler<br />equation and complex Fourier series.

Key Words

transient; thermoelasticity; functionally graded material; hollow cylinder.

Address

M. Jabbari and A.R. Vaghari: Postgraduate School, Tehran South Branch, Azad University, Tehran, Iran<br />A. Bahtui: Department of System Engineering, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK<br />M.R. Eslami: Distinguished Center of Thermoelasticity, Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

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