Boundary effect behavior in the hexagonal-type biperiodic structures with rotational symmetry

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

Abstrakty

EN

The report presents a study of the thermal boundary effect behaviour in the hexagonal-type rigid conductors. Every hexagonal cell of the conductor is made of three rhombus parts. Some special cases of a considered conductor with rhombus parts built of two layers of different isotropic material are analyzed. The tolerance averaging approach is used as a tool of modeling. The most important result of the paper is specification of parameters which determine the character and the intensity of the boundary effect behavior. Introduced in the contribution the boundary effect intensity parameter is suggested to be treated as a certain measure of the intensity of boundary effect behavior.

Słowa kluczowe

EN

tolerance averaging; heat conduction; biperiodic conductors; boundary effect

PL

tolerancyjne uśrednianie; przewodzenie ciepła; efekt brzegowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 2
• Strony: 73--85
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Mazewska M.

• Faculty of Civil and Environmental Engineering Warsaw University of Life Sciences - SGGW, Poland

autor

Kula D.

• Faculty of Civil and Environmental Engineering Warsaw University of Life Sciences - SGGW, Poland

autor

Wierzbicki E.

• Faculty of Civil and Environmental Engineering Warsaw University of Life Sciences - SGGW, Poland

Bibliografia

• [1] Jedrysiak J., Termomechanika laminatów, płyt i powłok o funkcyjnej gradacji własności, Lodz Technical University Press, Lodz 2010.
• [2] Woźniak C., Wierzbicki E., Averaging Techniques in Thermomechanics of Composite Solids, Częstochowa University of Techn. Press, Częstochowa 2000.
• [3] Woźniak C. (ed.), Developments in Mathematical Modeling and Analysis of Microstructured Media, Silesian Techn. University Press, Gliwice 2010.
• [4] Woźniak C. (ed.), Thermomechanics of Microheterogeneous Solids and Structures. Tolerance Averaging Approach, Lodz Technical University Press, Lodz 2009.
• [5] 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 2012, 21(3), 57, 131-140.
• [6] Mazewska M., Wierzbicki E., Modelowanie tolerancyjne przewodnictwa ciepła w kompozytach o strukturze dwukierunkowo-periodycznej, Acta Scientarum Polonarum, Architectura 2013, 12(1), 3-17.
• [7] Michalak B., Termomechanika ciał z pewną niejednorodną mikrostrukturą: technika tolerancyjnej aproksymacji, Lodz Technical University Press, Lodz 2010.
• [8] Nagórko W., Wybrane metody modelowania płyt niejednorodnych, Publications of Warsaw University of Life Sciences - SGGW, Warsaw 2008.
• [9] Cielecka I., Jędrysiak J., A non-asymptotic model of dynamics of honeycomb lattice-type plates, J. Sound and Vibration 2006, 296, 130-149.
• [10] Nagórko W., Wągrowska M., A contribution to modelling of composite solids, J. Theor. Appl. Mech. 2002, 40, 149-158.
• [11] Wierzbicki E., Woźniak C., On the dynamic behaviour of honeycomb based composite solids, Acta Mechanica 2000, 141, 161-172.
• [12] Truesdell C., A First Course in Rational Continuum Mechanics, The John Hopkins University, Baltimore, Maryland 1972.
• [13] Sideman S., Moalem-Maron D., Direct Contact Condensation, Advances in Heat Transfer, Academic Press, New York 1982, 228-276.
• [14] Vutz N., Angrist S.W., Thermal Contact Resistance of Anisotropic Materials, J. Heat Transfer 1970, 92(1), 17-20.
• [15] Mazewska M., Tolerance Modeling of Boundary Effect Behavior in Hexagonal-type Composites, Doctoral dissertation, Warsaw University of Life Sciences, Warsaw 2013.
• [16] Woźniak M., Wierzbicki E., Woźniak C., A macroscopic model of the diffusion and heat transfer processes in a periodically micro-stratified solid layer, Acta Mechanica 2002, 157, 175-185.
• [17] Lai-Sang Young, Mathematical theory of Lyapunov exponents, Journal of Physics A: Mathematical and Theoretical 2013, 46, 254001.