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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2015, Volume 56, Issue 2, Pages 124–132
DOI: https://doi.org/10.15372/PMTF20150213 (Mi pmtf971) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the tolerance modelling of heat conduction in functionally graded laminated media

C. Woźniaka, M. Wągrowskab, O. Szlachetkab

a Technical University Architecture and Environmental Engineering, Lodz, Poland
b University of Life Sciences, Warsaw, Poland
Full-text PDF (237 kB) Citations (9)
DOI: https://doi.org/10.15372/PMTF20150213
Abstract: The object of analysis is a heat conduction problem within the framework of tolerance modelling in laminated media with a functional gradation of effective properties. In contrast to the known asymptotic models (based on the homogenization technique), the characteristic feature of the tolerance model equations is that they make it possible to analyze the effect of the microstructure size on the overall behavior of the laminate. The proposed model equations describe heat conduction in laminates by mean of partial differential equations with smooth and slowly varying functions. This paper describes a certain extension of the unified tolerance modelling procedure, which makes it possible to analyze specific problems of heat conduction in laminates with a transversal gradation of effective properties.
Keywords: heat conduction, functionally graded laminate, tolerance modelling.
Received: 06.05.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2015, Volume 56, Issue 2, Pages 274–281
DOI: https://doi.org/10.1134/S0021894415020133
Bibliographic databases:
Document Type: Article
UDC: 539.3; 536.2
Language: Russian
Citation: C. Woźniak, M. Wągrowska, O. Szlachetka, “On the tolerance modelling of heat conduction in functionally graded laminated media”, Prikl. Mekh. Tekh. Fiz., 56:2 (2015), 124–132; J. Appl. Mech. Tech. Phys., 56:2 (2015), 274–281
Citation in format AMSBIB
\Bibitem{WozWagSzl15}
\by C.~Wo{\'z}niak, M.~W{\k a}growska, O.~Szlachetka
\paper On the tolerance modelling of heat conduction in functionally graded laminated media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 2
\pages 124--132
\mathnet{http://mi.mathnet.ru/pmtf971}
\crossref{https://doi.org/10.15372/PMTF20150213}
\elib{https://elibrary.ru/item.asp?id=23592077}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 2
\pages 274--281
\crossref{https://doi.org/10.1134/S0021894415020133}
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  • https://www.mathnet.ru/eng/pmtf/v56/i2/p124
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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