A modified approach for the thermoelastic large deflection in the elliptical plate

摘要

The present paper deals with an investigation into the thermoelastic effect on the elliptical plate during large deflection while heating with non-stationary temperature distribution. The governing equation for the deflection is formulated with modification within the existing methodology devised by Berger. Thermally induced deflection results and its associated stresses are obtained in terms of Mathieu function of the first kind of order 2n. Furthermore, aforementioned problems can be degenerated into the problems of the circular region by applying limiting conditions. Some results which are derived by means of computational tools are illustrated numerically and depicted graphically.