TY - JOUR
T1 - A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties
AU - Panahi-Kalus , Hamed
AU - Moosaie , Amin
AU - Ahmadinejad , Mehrdad
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 623
EP - 650
PY - 2023
DA - 2023/02
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2021-0282
UR - https://global-sci.org/intro/article_detail/aamm/21444.html
KW - Non-linear heat conduction, temperature-dependent heat conductivity, functionally graded material, exact solution, hollow cylinder.
AB - <p style="text-align: justify;">This paper numerically and analytically investigates a non-linear static, two-dimensional thermoelastic analysis in the radial and tangential directions of a cylindrical shell made of functionally graded materials. The dependence of material properties on temperature makes the heat governing equations non-linear. To obtain the
temperature field analytically, the heat conduction equation is linearized and exactly
solved using a linearizing transformation, then this exact solution is substituted in the
Lamme-Navier equations, and the elasticity equations are numerically solved using a
second-order central finite difference method, and displacement and stress distributions are obtained. Finally, the temperature field, stress, and displacement distributions are presented, and the effect of inhomogeneous parameters on them is examined
and discussed. The correctness and accuracy of the exact analytical solution of the temperature field are illustrated by a comparison with the numerical solution. The results
show a good agreement.</p>