This paper presents an analytical solution for a FGPM hollow cylinder subjected to two dimensional electro thermo mechanical fields. All material properties except the Poisson’s ratio are assumed to be varied with power low function along the thickness of cylinder. For analytical solution, using Fourier series expansions with separate variable method, the Navier’s equations are solved. Then, with special boundary conditions, the results for a FGPM cylinder are presented. The results show the proper power index has a significant influence on electro thermo mechanical response of cylinder as a sensor or actuators. The main idea in this paper is using the Fourier series to solve the equations that caused this method be suitable for considering any complicated and simply conditions for problem.

Keywords: Smart cylinder, Functionally graded material, electric field, thermal field

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