Three-dimensional magneto-thermo-elastic analysis of functionally graded cylindrical shell

doi:10.1007/s10483-017-2186-6

Abstract

Abstract:

The present paper presents the three-dimensional magneto-thermo-elastic analysis of the functionally graded cylindrical shell immersed in applied thermal and magnetic fields under non-uniform internal pressure. The inhomogeneity of the shell is assumed to vary along the radial direction according to a power law function, whereas Poisson's ratio is supposed to be constant through the thickness. The existing equations in terms of the displacement components, temperature, and magnetic parameters are derived, and then the effective differential quadrature method (DQM) is used to acquire the analytical solution. Based on the DQM, the governing heat differential equations and edge boundary conditions are transformed into algebraic equations, and discretized in the series form. The effects of the gradient index and rapid temperature on the displacement, stress components, temperature, and induced magnetic field are graphically illustrated. The fast convergence of the method is demonstrated and compared with the results obtained by the finite element method (FEM).

Key words: enhanced differential transform method (EDTM), shock wave, Padé tech-nique, Burgers equation, differential quadrature method (DQM), magneto-thermo-elastic, functionally graded material (FGM), cylindrical shell

2010 MSC Number:

O343.6

A. MEHDITABAR, G. H. RAHIMI, S. ANSARI SADRABADI. Three-dimensional magneto-thermo-elastic analysis of functionally graded cylindrical shell. Applied Mathematics and Mechanics (English Edition), 2017, 38(4): 479-494.

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