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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 3, Pages 542–548 (Mi zvmmf29)  
This article is cited in 11 scientific papers (total in 11 papers)

Uniqueness of the solution to an inverse thermoelasticity problem

V. A. Kozlov, V. G. Maz'ya, A. V. Fomin

Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, per. Malyi Khariton’evskii 4, Moscow, 101830, Russia
Full-text PDF (756 kB) Citations (11)
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Abstract: The inverse problem of coupled thermoelasticity is considered in the static, quasi-static, and dynamic cases. The goal is to recover the thermal stress state inside a body from the displacements and temperature given on a portion of its boundary. The inverse thermoelasticity problem finds applications in structural stability analysis in operational modes, when measurements can generally be conducted only on a surface portion. For a simply connected body consisting of a mechanically and thermally isotropic linear elastic material, uniqueness theorems are proved in all the cases under study.
Key words: inverse thermoelasticity problem, solution uniqueness.
Received: 30.06.2007
Revised: 02.07.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 3, Pages 525–531
DOI: https://doi.org/10.1134/S0965542509030130
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Kozlov, V. G. Maz'ya, A. V. Fomin, “Uniqueness of the solution to an inverse thermoelasticity problem”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 542–548; Comput. Math. Math. Phys., 49:3 (2009), 525–531
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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