Identification of the thermal and thermostressed states of a two-layer cylinder from surface displacements

The problem of identifying the law of time variation in the temperature of one boundary surface of a two-layer cylinder and its thermal and thermostressed state from the temperature and radial displacement of the other surface is formulated and solved. The inverse problem of thermoelasticity to whic...

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Bibliographic Details
Published in:International applied mechanics 2008, Vol.44 (1), p.34-40
Main Author: Yasinskii, A. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Physics
Physics and Astronomy
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Summary:The problem of identifying the law of time variation in the temperature of one boundary surface of a two-layer cylinder and its thermal and thermostressed state from the temperature and radial displacement of the other surface is formulated and solved. The inverse problem of thermoelasticity to which the problem posed is reduced is analyzed for well-posedness. The solution of the direct problem of thermoelasticity is used to numerically test the technique of solving the inverse problem
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-008-0014-5