Asymptotic models of the heat transfer in laminated conductors

• Autorzy: Lacinski L. , Wozniak C.
• Języki publikacji: EN

Abstrakty

EN

Laminated materials play an important role in civil engineering. The contribution is focused on the modelling of heat conduction in these materials. The analysis is carried out in the framework of the tolerance averaging technique, [1]. A new asymptotic procedure for finding solutions to the specific heat conduction problems is proposed. General results are illustrated by some numerical examples and compared with those derived from homogenization technique, [2].

Słowa kluczowe

EN

heat conduction process; laminated material; laminated conductor; civil engineering; asymptotic model; heat transfer

• Wydawca: -
• Czasopismo: Electronic Journal of Polish Agricultural Universities. Series Civil Engineering
• Rocznik: 2006
• Tom: 09
• Numer: 2
• Opis fizyczny: http://www.ejpau.media.pl

Twórcy

autor

Lacinski L.

• Czestochowa University of Technology, Dabrowskiego 73, 42-200 Czestochowa, Poland

autor

Wozniak C.

Bibliografia

• [1] Wozniak C., Wierzbicki E., Averaging techniques in thermomechanics of composite solids, Czestochowa Technological Uniwersity Press, Czestochowa 2000.
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• [3] Sanchez-Palencia E., Zaoui A., Homogenization techniques for composites media, Lecture Notes in Physiscs, 1987, 272, 193-278.
• [4] Fish J., Chen W., A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales, J. Appl. Mech., 68(2), 2001, 153-161.
• [5] Wozniak C., A nonstandard method of modelling of thermoelastic periodic composites, Int. J. Engng Sci., 1987, 5, 483-499.
• [6] Matysiak S.J., Nagorko W., Microlocal parameters in the modelling of microperiodic plates, Ing. Arch., 1989, 59, 434-444.
• [7] Matysiak S.J., Ukhanska O.N., On heat conduction problem in periodic composites, Int. Comm. Heat Mass Transfer, 1997, 24, 827-834.
• [8] Wierzbicki E., Wozniak C., L. Lacinska, Boundary and initial fluctuation effect on dynamic behaviour of laminated solid, Arch. App. Mech., 2005, 74(9), 618-628.
• [9] Wierzbicki E., Siedlecka U., A contribution to the modelling of heat conduction in periodically multilayered laminates, EJPAU, 2005, 8(3), #35.
• [10] Lacinski L., Numerical verification of two mathematical models for the heat transfer in a laminated rigid conductor, J. Theor. Appl. Mech., 2005, 2, 43, 367-384.
• [11] Lacinski L., Wozniak C., Boundary-Layer Phenomena in a Laminated Rigid Heat Conductor, J. Thermal Stresses, 2006, (in the course of publication).