Thermoelastic Plane Waves in Materials with a Microstructure Based on Micropolar Thermoelasticity with Two Temperature and Higher Order Time Derivatives

The study of the effect microstructure is important and most evident in elastic vibrations high frequency short-wave duration. In addition to deformation caused by temperature acting forces, theory micropolar thermoelasticity applied investigate materials when vibration their atoms or molecules increased. This paper addresses a two-dimensional problem involving thermoelastic micro-polar half-space with traction-free surface known conductive at medium surface. treated framework concept two-temperature higher-order time derivative phase delays, which takes into consideration impact microscopic structures non-simple materials. normal mode technique was find analytical formulas for thermal stresses, displacements, micro-rotation, changes, coupled stress. numerical results are graphed, discrepancy indicator temporal derivatives examined. There also some exceptional cases that covered.