Abstract:
A simplified and accurate analytical cum numerical model is presented here to investigate the behavior of FG cylinders
of finite length subjected to thermo mechanical load. A diaphragm supported FG cylinder under symmetric thermal
and mechanical load which is considered as a two dimensional (2D) plane strain problem of thermoelasticity in (r, z)
direction. The boundary conditions are satisfied exactly in axial direction (z) by taking an analytical expression in
terms of Fourier series expansion. Fundamental (basic) dependent variables are chosen in the radial coordinate of
the cylinder. First order simultaneous ordinary differential equations are obtained as mathematical model which are
integrated through an effective numerical integration technique by first transforming the BVP into a set of initial value
problems (IVPs). For FG cylinders, the material properties have power law dependence in the radial coordinate. Effect
of non homogeneity parameters on the stresses and displacements of FG cylinder are studied. The numerical results
obtained are also first validated with existing literature for their accuracy. Stresses and displacements in axial and
radial directions in cylinders having various l/ri and ro/ri ratios parameter are presented for future reference.
