


Volume 20 No 13 (2022)
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Ramp Heating Response In Thermoelastic Thick Annular Disc With Convective Heat Exchange Boundaries Under Fractional Order Derivatives
Indrajeet Varhadpande, V.R.K. Murthy ,N. K. Lamba
Abstract
The focus of this study is to determine the thermoelastic behaviour of thick annular disc subjected to ramp
heating on the upper face while convective heat exchange boundary conditions are prescribed on the curved
surfaces. The heat conduction equation involves the Caputo type nonlocal time fractional derivative of order
.
The solution of heat conduction equation is obtained in Laplace transform domain and its inversion is done by
utilizing the Gaver–Stehfest approach. For the numerical analysis aluminum material is considered and
computed results for the temperature distribution, displacement function and thermal stresses are plotted
graphically for weak, normal and strong conductivity.
Keywords
Annular disc, fractional order theory of thermoelasticity, thermal stress, integral transform
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