Two temperatures effect on wave propagation in microstretch thermoelastic medium with microtemperatures

This paper investigates wave propagation in microstretch thermoelastic solids incorporating the two-temperature theory, which models heat conduction using two distinct temperature fields to better capture microtemperature effects. We identify and analyze seven distinct wave types: longitudinal displacement (LD), thermal (T), microstretch (LM), longitudinal microtemperature (LT), coupled transverse displacement (CD-I), transverse microrotational (CD-II), and transverse microtemperature (CD-III) waves. For each wave type, we derive explicit expressions for phase velocity, attenuation coefficient, penetration depth, and specific loss, highlighting how these parameters vary with the two-temperature effects. Our results demonstrate that incorporating microstretch and microtemperature fields leads to significant changes in wave characteristics, including the emergence of new wave modes and modified attenuation behavior compared to classical models. Graphical presentations illustrate these effects quantitatively, with phase velocity and attenuation variations changes under varying two-temperature parameter regimes. Additionally, special limiting cases of practical interest are discussed. The findings offer new insights for advanced material design and non-destructive evaluation in microstructured thermoelastic solids.