Theoretical Thermoelastic Analysis for Biological Skin Tissues via Several Nonlocal MGT and LS Models

The thermomechanical behavior of biological skin tissue under harmonic thermal loading is examined analytically in this paper using both Moore–Gibson–Thompson (MGT) and Lord–Shulman (LS) thermoelasticity theories. Different heat conduction mechanisms are represented using both the conventional dynamic coupled theory (CDC) and the modified MGT and LS models. The normal mode technique combined with an eigenvalue approach is used to solve the governing equations for skin tissues. The temperature, displacement, and stress field distributions are analyzed by numerical simulations, and the outcomes are displayed graphically in two and three dimensions. In-depth analysis is done on how the nonlocal parameter and angular frequency affect the thermomechanical response. Four thermoelastic theories are compared to show how well they perform under harmonic heating conditions. The results provide important new information about how skin tissues behave in different situations. These findings could greatly advance therapies like laser surgery and hyperthermia therapy, which could enhance patient care.