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

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