Youssef improved the generalized thermoelasticity base on two distinct
temperatures; the conductive temperature and the thermodynamics temperature which coincide
together when the heat supply vanishes [1, 2]. This theory has one paradox, where it offers an
infinite speed of thermal wave propagation. So, this work assuming a new consideration of the
two types of temperature which depends upon the acceleration of the conductive and the
thermal temperature. This work introduces the proof of the uniqueness of the solution,
moreover, one dimensional numerical application. According to the numerical result this new
model of thermoelasticity offers finite speed of thermal wave and mechanical wave
propagation.
Keywords: elasticity, thermoelasticity, hyperbolic two-temperature, finite speed, wave propagation |
full paper (pdf, 976 Kb)