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Analysis of the thermoelastic model of a plate with non-linear shape memory alloy reinforcements

✍ Scribed by K.-H. Hoffmann; A. Zochowski

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
518 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper we study the questions of the existence and uniqueness of the solutions for a thermoelastic system of equations magnified image magnified image in a two‐dimensional domain, where both the viscosity v and the rigidity D are positive. It seems that such a system has up to now been considered in a one‐dimensional setting only. The change of dimensions enforces the growth conditions with respect to ΞΈ and the additional regularity of the data. The existence of solutions in the case of the Neumann boundary conditions for ΞΈ and some weak regularity of data is proved. Under stronger regularity conditions the uniqueness is also established. The system has an interpretation as a plate reinforced by a shape memory alloy (SMA) wire mesh.

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