Melnik (R.)V.N.
Design Automation in Electronics, 46, 71-76, 1992
In many applications we have to deal with a situation where the surface of a crystal is subjected to a sudden, impulsive heating. In this contribution, we analyse such a situation with the fully coupled model of thermoelasticity formulated in deformation-temperature variables. This formulation has a number of advantages compared to the conventional displacement-temperature formulation. We analyse dispersion properties of a difference scheme for our model and derive conditions which allow us to achieve a better correspondence between dispersion characteristics of difference and differential problems. By using the Cayley transform and the obtained dispersion relationship, we also derive stability conditions for the difference scheme based on geometric considerations.