Open AccessInverse Thermoelastic Analysis of a Thick Rectangular Plate
Author(s) -
Sanjay H. Bagade
Publication year - 2021
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.i9323.0710921
Subject(s) - thermoelastic damping , laplace transform , displacement (psychology) , mathematical analysis , thermal conduction , mathematics , boundary value problem , inverse , heat equation , boundary (topology) , inverse laplace transform , thermal , geometry , materials science , physics , thermodynamics , psychology , psychotherapist
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