Thermomechanical load in a nonlocal rotating magneto-thermoelastic orthotropic material with Green Naghdi-III model

Abstract

Abstract The objective of this study is to examine the influence of nonlocal thermoelasticity parameters on an orthotropic medium subjected to magnetic fields and rotational effects, within the framework of Green-Naghdi thermoelasticity theory (Type III). A time-dependent thermal load is applied to the free surface of the medium, and analytical solutions for the resulting thermal stresses, displacement, and temperature fields are derived using the normal mode analysis and eigenvalue approach techniques. Numerical simulations, implemented through MATHEMATICA programming, are conducted for a representative material to validate the theoretical model. The results are presented graphically to highlight the effects of various parameters, including time, non-locality, magnetic intensity, and rotational speed, on the thermoelastic response. These findings offer significant insights for advanced engineering and scientific applications, especially in geophysics, aerospace, and biomedical engineering, where complex multiphysical interactions and nonlocal effects play a critical role. The study also contributes to the ongoing development of generalized thermoelastic models capable of accurately capturing wave propagation and heat conduction behaviours in anisotropic and heterogeneous materials.