Abstract:
In this paper, we analyze the boundary value problems (BVPs) of a finite
length laminated cylinders under thermoelastic loads using a semi analytical
cum numerical approach. Exact elasticity equations are used in the analysis
without any assumptions to determine the accurate stresses. Examples covered
are diaphragm supported isotropic, orthotropic and laminated composite
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 by taking an analytical
expression in axial (z) direction 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). The numerical results obtained are also first
validated for their accuracy with 1D solution of an infinitely long cylinder
