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General thermo-elastic solution of radially heterogeneous, spherically isotropic rotating sphere
Yahya Bayat,Hamid EkhteraeiToussi 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.6
A thick walled rotating spherical object made of transversely isotropic functionally graded materials (FGMs) with general types ofthermo-mechanical boundary conditions is studied. The thermo-mechanical governing equations consisting of decoupled thermal andmechanical equations are represented. The centrifugal body forces of the rotation are considered in the modeling phase. The unsymmetricalthermo-mechanical boundary conditions and rotational body forces are expressed in terms of the Legendre series. The series methodis also implemented in the solution of the resulting equations. The solutions are checked with the known literature and FEM based solutionsof ABAQUS software. The effects of anisotropy and heterogeneity are studied through the case studies and the results are representedin different figures. The newly developed series form solution is applicable to the rotating FGM spherical transversely isotropicvessels having nonsymmetrical thermo-mechanical boundary condition.