A Nonlocal Parabolic System Modelling Axially Symmetric Thermoelastic Contact of Two Discs
β Scribed by Yanping Lin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 234 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
A system of parabolic integro-differential equations modelling homogeneous and isotropic elastic thin discs subject to axially symmetric temperature fields and displacements is studied. Under some appropriate assumptions the questions of existence, uniqueness, and continuous dependence of the solutions upon the data are demonstrated. The main feature of our method in this paper is that the difficulties associated with this physical problem can be seen clearly and overcome easily via the decoupling procedures and transformations.
π SIMILAR VOLUMES
In this article, we study a sequence of finite difference approximate solutions to a parabolic system, which models two dissimilar rods that may come into contact as a result of thermoelastic expansion. We construct the approximate solutions based on a set of finite difference schemes to the system,
## Abstract The dynamic thermoelastic impact of two rods is modelled by a coupled system of two quasivariational inequalities and two equalities that reflect a bilateral contact condition and a radiation condition for the temperatures. The existence of a weak solution is established using a penaliz