A Study on Two-Temperature Generalized Thermoelasticity and Its Applications

Abstract

Youssef theory serves as the foundation for the two-temperature Generalized Thermo-elasticity (GT) theory. With no energy dissipation, it is utilized to solve border line value issues in two-dimensional half-space for homogeneous and isotropic bodies. The Lord-Shulman (LS) theory-based GT equations in an isotropic elastic material depend on the reference temperature. The classical dynamical coupled theory (CD) is combined with LS theory at this point. Here is lot more work on two-temperature Thermo-elasticity is scrutinized. The time required for the heat flow to accelerate is included in the equation specifically because it is crucial to a general dynamical explanation of Thermo-elasticity. The coupled equations that come from the theory's contemplation of the coupling among heat and strain rate are both hyperbolic. Hence, the main issue of an inestimable propagation velocity is addressed in the related hypothesis of Thermo-elasticity. The basic formulations of two-temperature Thermo-elasticity are discussed in this chapter along with applications of the two-temperature Thermo-elasticity in various scientific fields of research.