End effects of heat conduction in circular cylinders of functionally graded materials and laminated composites

Analytical solution in transient thermo‐elasticity of functionally graded thick hollow cylinders (Pseudo‐dynamic analysis)

“…For simplicity of the analysis, the power law coefficients 'm 1 ' and 'm 2 ' were also considered to be equal. These eigenvalues were compared with the results presented in [15], which can be seen in Table I, and the comparison shows a good agreement.…”

“…A functionally graded hollow cylinder with b/a = 1.1, where 'a' and 'b' are the inner and outer radii, was considered. Note that the inner surface consists of graphite/epoxy with thermal conductivity k = 0.72 W/m K. In [15], for t = 0 and m 1 = 0 (homogeneous material), the first five eigenvalues were obtained using the boundary conditions (the flux prescribed on the inner and outer surfaces). For simplicity of the analysis, the power law coefficients 'm 1 ' and 'm 2 ' were also considered to be equal.…”

Diffusion of thermal disturbances in two-dimensional Cartesian transient heat conduction

“…Recently, however, Tarn and Wang [21] have studied the steady state diffusion of prescribed arbitrary end conditions in circular cylinders through a characteristic decay length. It is defined as the distance measured from the end beyond which the temperature and heat flux reduce to 1% of their values on the end.…”

Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels

“…Displacements and stresses within the homogeneous sub-cylinders are obtained from the homogeneous solutions in Reference [11]. Tarn and Wang [12] worked the end effects of heat conduction in circular cylinders of functionally graded materials and laminated composites. Ruhi et al [13] presented a semi analytical thermo-elasticity solution for thick-walled finite-length cylinders made of power-graded materials.…”