Simulation of Electro-Magneto-Thermo-Elastic Plane Waves Based on the Lord-Shulman Theory

The main objective of this paper is to investigate the deformation behavior in a two-dimensional homogeneous, isotropic thermo-elastic half-space subjected to an external heat source applied at its boundary and electro-magnetic field, within the framework of the Lord-Shulman theory. The novelty of this work lies in formulating a new coupled dynamic model that integrates mechanical stresses with temperature interactions in an elastic medium. The Lame’s potential method and normal mode analysis method is applied to solve the resulting coupled differential equations, obtaining both deterministic and solutions. The temperature, displacement component and stress components of these waves are obtained analytically with the use of suitable boundary conditions. Focusing on aluminium epoxy-like material, graphical representations of numerically simulated findings using MATHEMATICA software show how time, magnetic field and permeability of electric field. The work includes detailed graphical representations of crucial discoveries such as temperature distributions, stress components, and displacement components which provide amazing visual insights into the complex interactions that occur within thermo-elastic systems. From the distributions, it can be found the wave type heat propagation in the medium. A comparison is made with the results obtained in the presence and absence of the electro-magnetic field. By forging a link between theoretical insights and practical applications, this study stands to make a significant contribution to the field of materials science, providing a solid foundation for subsequent inquiries within this rapidly progressing arena. A graphic comparison of our physical quantity accuracy results with earlier studies shows the significant influence of electro-magnetic field on thermoelastic phenomena. The analysis of thermoelastic problems with electro-magnetic field benefits from the study.