Analytical study of micropolar thermoelastic rectangular plate under three theories

Abstract

A three-dimensional micropolar thermoelastic problem is considered for an isotropic rectangular plate that is subjected to simply support and isothermal on its four adjacent edges. Normal mode analysis is applied to the governing equations to form a vector-matrix differential equation and the analytical solution of the vector-matrix differential equation is obtained by using eigenvalue approach methodology. Numerical results are presented graphically along with theoretical analysis for sinusoidal variation of the stresses applied on the top surface of the rectangular plate.

Keywords:

• Eigenvalue approach methodology
• micropolar thermoelasticity
• normal mode analysis
• rectangular plate
• vector matrix differential equation

Disclosure statement

The authors declare that they have no potential conflict of interest.

Additional information

Funding

The authors are thankful to the DST-FIST Purse Programme (Programme no. SR/FST/MS-II/2021/101(C)) of the Department of Mathematics, Jadavpur University, Kolkata, India, for the support of this work.