Po-Jen Su and Huann-Ming Chou
Application of Residual Correction Method on Hyperbolic Thermoelastic Response of Hollow Spherical Medium in Rapid Transient Heat Conduction
428 - 435
2015
9
7
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/10002814
https://publications.waset.org/vol/103
World Academy of Science, Engineering and Technology
In this article, we used the residual correction method
to deal with transient thermoelastic problems with a hollow spherical
region when the continuum medium possesses spherically isotropic
thermoelastic properties. Based on linear thermoelastic theory, the
equations of hyperbolic heat conduction and thermoelastic motion
were combined to establish the thermoelastic dynamic model with
consideration of the deformation acceleration effect and nonFourier
effect under the condition of transient thermal shock. The approximate
solutions of temperature and displacement distributions are obtained
using the residual correction method based on the maximum principle
in combination with the finite difference method, making it easier and
faster to obtain upper and lower approximations of exact solutions.
The proposed method is found to be an effective numerical method
with satisfactory accuracy. Moreover, the result shows that the effect
of transient thermal shock induced by deformation acceleration is
enhanced by nonFourier heat conduction with increased peak stress.
The influence on the stress increases with the thermal relaxation time.
Open Science Index 103, 2015