Abstract:
A simplified and accurate analytical cum
numerical model is presented here to investigate the
behavior of functionally graded (FG) cylinders of
finite length subjected to thermal load. A diaphragm
supported FG cylinder under symmetric thermal 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 math-
ematical model which are integrated through an
effective numerical integration technique by first
transforming the boundary value problem into a set
of initial value problems. For FG cylinders, the
material properties have power law dependence in
the radial coordinate. Effect of non homogeneity
parameters and orthotropy of the materials 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 cylin-
ders having various l/ri and ro/ri ratios parameter are
presented for future reference.
