Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682214420230401Fractional ordered thermoelastic stress analysis of a thin circular plate under axi-symmetric heat supply207219749110.22075/ijnaa.2023.29131.4067ENSatish GKhavaleDepartment of Engineering Science, Amrutvahini College of Engineering, Sangamner, Maharashtra, 422608, IndiaKishor RGaikwadP. G. Department of Mathematics, N. E. S., Science College, Nanded, Maharashtra, 431605, India0000-0003-3551-301XJournal Article20221128The main objective of the current study is to investigate the fractional ordered thermoelastic stress analysis of a thin circular plate under axi-symmetric heat supply. Initially, the plate is characterized by the initial temperature $T_{0}(r, z)$. The boundary value problem is formulated with a circular plate model where the perimetric edge is clamped and convection, and the upper and lower surfaces are subjected to heat convection with convection coefficient $h_{c}$ and fluid temperature $T_{\infty}$. The variable separable technique and Green's function approach scheme have been employed to solve the heat conduction equation. The impacts of the fractional ordered derivative of some other parameters on temperature, deflection, and stress profiles will be analyzed in detail. For instance, the results indicate that the temperature and thermal deflection are directly proportional to the fractional order parameter $\alpha$. Also, the parameter $\alpha$ represents the weak, normal, and strong conductivity, within the range of $0 < \alpha < 1$, $\alpha = 1$ and $1 < \alpha < 2$ respectively.https://ijnaa.semnan.ac.ir/article_7491_953359f7f33253bbcb17b763b1abc14d.pdf