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Control of the thermoelastic model of a plate activated by shape memory alloy reinforcements

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

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
237 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

In the paper we study the problem of control by means of a heat source g for a thermoelastic system of equations

in a two-dimensional domain, where both viscosity and rigidity D are positive. Such a system has been considered in our former papers, and existence of solutions as well as uniqueness have been obtained. Here we prove the continuity and differentiability of solutions under somewhat stronger assumptions. An example of a control problem and necessary optimality conditions are presented. The system has an interpretation as a plate reinforced with shape memory alloy (SMA) wire mesh.

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