Inverse Thermoelastic Analysis of a Thick Rectangular Plate
Sanjay H Bagade
Sanjay H Bagade, Department of Physics, Janki Devi Bajaj College of Science, Wardha (Maharashtra), India.
Manuscript received on July 7, 2021. | Revised Manuscript received on July 12, 2021. | Manuscript published on July 30, 2021. | PP: 52-57 | Volume-10, Issue-9, July 2021 | Retrieval Number: 100.1/ijitee.I93230710921 | DOI: 10.35940/ijitee.I9323.0710921
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Abstract: Thermal stresses and displacement functions are obtained for a rectangular plate occupying the space R: -a < x < a, 0 < y < b, -h < z < h, with the known boundary and initial conditions. In this inverse problem the unknown surface temperature is determined on the boundary along the y-axis when the temperature at some internal point is known. The governing heat conduction equation has been solved by applying Marchi – Fasulo transform and Laplace transform techniques. The solutions are obtained in form of infinite series. The results for displacement and thermal stresses have been computed numerically and illustrated graphically for Aluminium plate. MSC 2010: 74A10,74J25, 74H99, 74D99
Keywords: Rectangular plate, Inverse thermoelastic problem, Integral transform, Thermal stress.