A NON-DIMENSIONAL STUDY ON BOTH ANALYTIC AND NUMERIC THERMO-ELASTIC BEHAVIOR OF FUNCTIONALLY GRADED THICK-WALLED CYLINDERS UNDER A COMBINATION OF THERMO-MECHANICAL LOADS

Efforts using non-dimensional parameters, the governing equations of homogeneous and heterogeneous cylinders made of functionally graded material (fgm) were derived under a combination of thermo-mechanical loads. the equations were solved analytically and numerically in a severe temperature and pressure gradient environment. the radial and circumferential stresses together with the radial displacement of fgm cylinder were analytically evaluated and then compared to conventional homogeneous ones. besides, in order to assess the accuracy of derived equations, a numerical solution (ns) was performed using finite element method. it was shown that the numerical solution was in accordance to the analytical solution (as). the results of present work show that the use of fgm can optimize the thermo-elastic performance of the cylinders which are exposed to the joint mechanical and thermal loads.