Thermoelastic Response of a Rectangular Plate under Hyperbolic Heat Conduction Model in Differential Transform Domain
Kamini K. Chaudhari1, Chandrashekhar S. Sutar2
1Kamini K. Chaudhari*, Applied Mathematics, Pillai College of Engineering, Navi Mumbai, India.
2Chandrshekhar S. Sutar, Mathematicst, PSGVPM‟s A.S.C. College, Shahada, Maharashtra, India.
Manuscript received on September 25, 2019. | Revised Manuscript received on October 05, 2019. | Manuscript published on October 30, 2019. | PP: 692-699 | Volume-9 Issue-1, October 2019 | Retrieval Number: F9047088619/2019©BEIESP | DOI: 10.35940/ijeat.F9047.109119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In the present work, a semi-analytical solution is presented for the thermoelastic response of a finite plate of rectangular geometry considering hyperbolic heat conduction model. The solution of thermoelastic displacement, thermal stresses and temperature are obtained using differential transform method under hyperbolic, non-Fourier heat conduction theory. For special case, thermal stresses and displacement functions are determined numerically and plotted graphically to analyze the effect of the thermal relaxation time.
Keywords: Differential transform, Displacement function, Hyperbolic heat conduction model, Thermal stresses.