|
Abstract Based on the Clausius inequality and L-S generalized thermoelasticity theory, the coupled model for the generalized thermoelasticity in an elastic media with temperature-dependent properties is established by the higher expansion of the free energy. The linear equations are reduced for the homogeneous and isotropic materials with the boundary subjected to thermal shock. In accordance with the transient behaviors of thermal shock, the asymptotic solutions of the temperature, displacement and stress for one dimensional problem are obtained via the Laplace transform and inverse transform and its limit theorem. Numerical simulation is conducted for a semi-infinite copper rod, the distribution of each physical field and the influence of the temperature-dependent properties on these thermoelastic response are obtained. The results show that the temperature-dependent properties have some influence on the locations, intervals and peak values of jumps, and it is notable that the influence on the temperature is very litter than that on the displacement and stress.
|
|
Received: 24 April 2012
|
|
|
|
|
|
2013, Vol. 34 
