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Impossibility of localization in linear thermoelasticity with voids

✍ Scribed by Ramón Quintanilla

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
140 KB
Volume
34
Category
Article
ISSN
0093-6413

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✦ Synopsis

In this note we prove the impossibility of the localization in time of the solutions of the linear thermoelasticity with voids. This means that the only solution for this problem that vanishes after a finite time is the null solution. From a thermomechanical point of view, this result says that the combination of the thermal and porous dissipation in the linear theory is not sufficiently strong to guarantee that the thermomechanical deformations will vanish after a finite time. The main idea to prove this result is to show the uniqueness of solutions for the backward in time problem.

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