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The Thermoelastic and Viscoelastic Contact of Two Rods

✍ Scribed by Jaime E Muñoz Rivera; Song Jiang

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
366 KB
Volume
217
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider the thermoelastic and viscoelastic contact problem of two rods and prove the existence of a weak solution using a penalization method and compensated compactness. Moreover, for the thermoelastic contact we show that the weak solution converges to zero exponentially as time goes to infinity, and for the viscoelastic contact we prove that the weak solution decays to zero with the same rates as the relaxation functions do.

📜 SIMILAR VOLUMES

Approximation to a parabolic system mode
Approximation to a parabolic system modeling the thermoelastic contacts of two rods
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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,

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## 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