Non-linear thermoelastic analysis of an anisotropic rectangular plate

Abstract

A three-dimensional generalized electro-magneto-thermoelastic model is proposed using non-linear time derivative. In the context of Green-Naghdi model-II, fractional order energy equation is adopted for a rotating anisotropic rectangular plate which is subjected to simply supported and isothermal on its four lateral edges. The analytical closed form solution of the Vector-matrix differential equation is obtained for the physical parameters using eigenvalue approach methodology. The effects of non-linear parameter and angle of inclination of the plate on the variation of different field components in the rotating plate are analyzed. Numerical results are represented graphically with a sinusoidal spatial variations of the stress applied on the top surface of the plate.

Keywords:

• Fractional order energy equation
• generalized electro-magneto-thermoelasticity
• normal mode analysis and vector-matrix differential equation

Acknowledgments

This research does not receive any type of funds from public, commercial or non-profitable organizations.

Disclosure statement

No potential conflict of interest was reported by the authors.