A Phase Delay Thermoelastic Model with Higher Derivatives and Two Temperatures for the Hall Current Effect on a Micropolar Rotating Material

Purpose As the micropolar thermoelasticity theory predicted, flexible materials can experience significant vibration, temperature variations, and microrotations due to transitional and rotational motions. This study presents a new micropolar thermoelasticity theory with a two-phase delay of high-order and two temperatures. The proposed model has been used to study the microstructure of rotating materials when their atomic or molecular vibrations change under the effects of Hall current. There is an assumption that the angular velocity of an elastic medium is always the same. Methods The proposed problem was solved and analyzed using the normal mode approach. For the purpose of analysis and comparison, the theoretical results of deformations, temperatures, and other fields are provided and graphically depicted. Results and Conclusions The results showed that the higher-order phase delays and the two-temperature factor significantly affected the behavior of all studied variables.