Influence of gravity, magnetic field, and thermal shock on mechanically loaded rotating FGDPTM structure under Green-Naghdi theory

Abstract

This article deals with the theoretical investigation of deformations in a rotating isotropic functionally graded double porous thermoelastic material (FGDPTM) with voids by means of two temperature Green-Naghdi III (G-N III) model of generalized thermoelasticity. A gravitating magneto-double-poro-thermoelastic two-dimensional substrate is influenced by both thermal shock and inclined mechanical load at the free surface. The normal mode technique is carried out to derive the expressions for displacements, temperatures, volume fractions, and stresses. Numerical values for copper-like material are utilized to execute several graphical implementations representing the variations in the aforementioned variables in the presence and absence of different parameters. Furthermore, comparative studies among FGDPTM, functionally graded porous thermoelastic material (FGPTM), and functionally graded thermoelastic material (FGTM) structures are displayed graphically with and without two temperatures.

Keywords:

• Functionally graded material
• double porosity
• Green-Naghdi III
• gravity
• magneto-elasticity

Acknowledgements

Authors acknowledge the Council of Scientific and Industrial Research(CSIR) by the project (Grant Number 25(0296)/19/EMR-II) entitled Mathematical Modeling of Elastic Waves in Fractional Order Thermoelastic Solids with Micro-configurations and Initially Stressed Media for providing financial support for this research work.

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.