From tolerance modeling to exact description of heat conduction in biperiodic composites

• Autorzy: Wierzbicki E. , Mazewska M.
• Języki publikacji: EN

Abstrakty

EN

In the paper we study the temperature boundary effect behavior in the dividing wall made of a composite conductor in which every area parallel to the outside and the inside plane areas has identical biperiodic structure. The proposed modeling approach is restricted to the hexagonal case of bi-periodicity in which the hexagonal cell can be divided onto three rhombus parts with different thermal properties. Considerations deal with anisotropic conductors.

Słowa kluczowe

EN

tolerance averaging; heat conduction; biperiodic conductors; boundary effect

PL

przewodzenie ciepła; efekt brzegowy; modelowanie tolerancyjne; struktura kompozytów; struktura dwukierunkowo-periodyczna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2015
• Tom: Vol. 63, iss. 1
• Strony: 133--142
• Opis fizyczny: Bibliogr., 18 poz., rys.

Twórcy

autor

Wierzbicki E.

• Warsaw University of Life Sciences – SGGW Faculty of Civil and Environmental Engineering Nowoursynowska 159, 02-776 Warszawa, Poland

autor

Mazewska M.

• Warsaw University of Life Sciences – SGGW Faculty of Civil and Environmental Engineering Nowoursynowska 159, 02-776 Warszawa, Poland

Bibliografia

• 1. Cielecka I., Jędrysiak J., A non-asymptotic model of dynamics of honeycomb latticetype plates, J. Sound and Vibration, 296, 130–149, 2006.
• 2. Kula D., Mazewska M., Wierzbicki E., Some remarks on the tolerance averaging of heat conduction in chessboard palisade-type periodic composites, Scientific Review, Engineering and Enviromental Sciences, 21, 3, 57, 131–140, 2012.
• 3. Mazewska M., Modelowanie tolerancyjne efektu brzegowego przewodnictwa ciepła w kompozytach o strukturze heksagonalnej, Doctoral thesis, Warsaw University of Life Sciences, Warsaw, 2013.
• 4. Mazewska M., Wierzbicki E., Modelowanie tolerancyjne przewodnictwa ciepła w kompozytach o strukturze dwukierunkowo-periodycznej, Acta Scientarum Polonorum, Architectura, 12, 1, 3–17, 2013.
• 5. Jedrysiak J., Termomechanika laminatów, płyt i powłok o funkcyjnej gradacji własności, Lodz Technical University Press, Łódź, 2010.
• 6. Michalak B., Termomechanika ciał z pewną niejednorodną mikrostrukturą: technika tolerancyjnej aproksymacji, Łódź Technical University Press, Łódź, 2010.
• 7. Nagórko W., Wybrane metody modelowania płyt niejednorodnych, Publications of Warsaw University of Life Sciences – SGGW, Warsaw, 2008.
• 8. Nagórko W., Wągrowska M., A contribution to modelling of composite solids, J. Theor. Appl. Mech., 40, 149–158, 2002.
• 9. Sideman S., Moalem-Maron D., Direct Contact Condensation, Advances in Heat Transfer, Academic Press, New York, 228–276, 1982.
• 10. Vutz N., Angrist S.W., Thermal Contact Resistance of Anisotropic Materials, J. Heat Transfer, 92, 1, 17–20, 1970.
• 11. Wierzbicki E., Woźniak Cz., On the dynamic behaviour of honeycomb based composite solids, Acta Mechanica, 141, 161–172, 2000.
• 12. Woźniak Cz., Wierzbicki E., Averaging techniques in thermomechanics of composite solids, Częstochowa University of Technology Press, Częstochowa, 2000.
• 13. Woźniak Cz. [Ed.], Developments in Mathematical Modeling and Analysis of Microstructured Media, Silesian Technical University Press, Gliwice, 2010.
• 14. Woźniak Cz. [Ed.], Thermomechanics of microheterogeneous solids and structures. Tolerance averaging approach, Lodz Technical University Press, Łódź, 2009.
• 15. Woźniak M., Wierzbicki E., Woźniak Cz., A macroscopic model of the diffusion and heat transfer processes in a periodically micro-stratified solid layer, Acta Mechanica, 157, 175–185, 2002.
• 16. Mazewska M., Kula D., Wierzbicki E., Boundary effect behavior in the hexagonaltype biperiodic structures with rotational symmetry, Journal of Applied Mathematics and Computational Mechanics, 2, 134–144, 2014.
• 17. Kula D., Wierzbicki E., The Fourier series implementation issues in the tolerance modeling of thermal conductivity of periodic composites, Engineering Transactions, 63, 1, 77–92, 2015.
• 18. Kula D., On Fourier implementation of tolerance modeling of linear elastodynamics of periodic composites, Journal of Applied Mathematics and Computational Mechanics, 13, 4, 73–80, 2014.