Dynamical Analysis of Response in a Micropolar Thermodiffusive Medium With Two Temperatures and Variable Thermal Conductivity Based on Eringen's Nonlocal Elasticity

ABSTRACT The present study enlightens the analysis of transient disturbances in a nonlocal micropolar thermodiffusive medium with two temperatures and variable thermal conductivity on account of mechanical load. The theoretical model is established in the framework of Eringen's nonlocal elasticity theory and Green–Lindsay theory. By addressing scientific and engineering domains, the mathematical model holds the potential to stimulate practical innovations in the design and optimization of advanced materials and devices tailored for real‐world applications. The analytical solution is procured by employing normal mode analysis for the displacement components, stresses, temperatures, and concentration in the space–time domain. A numerical simulation for magnesium crystal material is carried out using MATLAB software to investigate the impacts of various parameters on thermophysical quantities, and the outcomes are illustrated graphically. The graphical results demonstrate that micropolarity and diffusivity have significant effects on the physical fields. Temperature fields are increasingly influenced by variable thermal conductivity, which signifies the importance of this parameter. A comparative analysis of the two‐temperature theory and one‐temperature theory of generalized thermoelasticity presents a significant difference in the magnitudes of various physical quantities constituting the model. The results reveal that all the distributions are restricted in a bounded region, exhibiting the finite speed of thermoelastic signals. Some specific cases have been derived from the present study that are particularly noteworthy. To the best of the authors' knowledge, no research emphasizing dynamic response in a nonlocal microstructured thermodiffusive medium with two temperatures and variable thermal conductivity has been conducted, which significantly defines the novelty of the conducted research.