Exponential stability in thermoelasticity with microtemperatures

This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem. First, we prove the slow decay of s...

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Bibliographic Details
Published in:International journal of engineering science 2005, Vol.43 (1), p.33-47
Main Authors: Casas, Pablo S., Quintanilla, Ramón
Format: Article
Language:English
Subjects:
Exact sciences and technology
Exponential stability
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Thermoelasticity with microtemperatures
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Summary:This article is concerned with a linear theory for elastic materials with inner structure, whose particles in addition to the classical displacement, possess microtemperatures. In the main part of the paper we restrict our attention to the one-dimensional problem. First, we prove the slow decay of solutions for the one-dimensional problem of micromorphic elastic solids with the usual thermal effects. Then, we prove the exponential stability of the solutions when we consider the theory with microtemperatures. The anti-plane distributions of microtemperatures are considered later.
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2004.09.004