Dynamics of Rotating Magneto-Thermoelastic Systems under Thermal Stress and Double Porosity

Abstract

The present work is devoted to studying behavior of a double porosity electro-magneto-thermoelastic material with double porous utilizing the GreenLindsay theory. The analysis considers the interactions within an isotropic, homogeneous, double porosity electro-magneto-half-space. Employing Lame’s potentials and normal mode techniques, we solve the dimensionless coupled governing equations of motion to derive analytical expressions for displacements, temperature, equilibrated stresses, shear stress, and normal stress. Additionally, various two-dimensional graphs are presented to illustrate the effects of parameters such as the magnetic field, thermal load, initial stress and rotation. The study also compares and discussed in the presence or absence of certain parameters. The results reveal that the presence of parameters and double porosity significantly increases the values of physical variables, especially with higher magnetic field, rotation and initial stress highlighting their considerable impact on the system’s dynamics. Specific cases are also discussed in the presence or absence of certain parameters. Although the problem is approached theoretically, the findings can be valuable across multiple scientific disciplines, including geophysics, earthquake engineering, and seismology, particularly for researchers involved in mining tremors and crustal drilling.