Transport of temperature fluctuations across a two-phased laminate conductor

• Autorzy: Wodzyński Ł. , Kula D. , Wierzbicki E.
• Języki publikacji: EN

Abstrakty

EN

In the periodic composite materials temperature or displacement fluctuations suppressed in directions perpendicular to the periodicity surfaces should expect a damping reaction from the composite. This phenomenon, known as the boundary effect behavior has been investigated only in the framework of approximated models. In this paper extended tolerance model of heat transfer in periodic composites is used as a tool allows analytical investigations of highly oscillating boundary thermal loadings. It has been shown that mentioned reaction is dual - different for even and odd fluctuations.

Słowa kluczowe

EN

even temperature fluctuations; two-phased laminated conductor; boundary value problem

PL

fluktuacja temperatury; przewodnik laminowany dwufazowy; zagadnienie brzegowe

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 3
• Strony: 775--787
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Wodzyński Ł.

• Warsaw University of Life Sciences, Faculty of Civil and Enviromental Engineering, Department of Civil Engineering, Warsaw, Poland

autor

Kula D.

• Warsaw University of Life Sciences, Faculty of Civil and Enviromental Engineering, Department of Civil Engineering, Warsaw, Poland

autor

Wierzbicki E.

• Warsaw University of Life Sciences, Faculty of Civil and Enviromental Engineering, Department of Civil Engineering, Warsaw, Poland

Bibliografia

• [1] Bensoussan, A., Lions, J.-L. and Papanicolaou, G.: Asymptotic Analysis for Periodic Structures, American Math. Soc., ISBN-10: 0-8218-5324-4, ISBN-13: 978-0-8218-5324-5, 2011.
• [2] Ariault, J. L.: Effective macroscopic description for heat conduction in periodic composites, International Journal of Heat and Mass Transfer, 26, 6, 861-869, DOI: 10.1016/S0017-9310(??)80110-0, 1983.
• [3] Woźniak, C. and Wierzbicki, E.: Averaging techniques In thermomechanics of composite solids, Tolerance averaging versus homogenization, Technical University of Częstochowa Press, Częstochowa, 2000.
• [4] Woźniak, C. (Ed.): Thermomechanics of microheterogeneous solids and structures. Tolerance averaging approach, Technical University of Łódź Press, Łódź, 2009.
• [5] Wożniak, C. (Ed.): Developments In Mathematical Modeling and Analysis of Microstructured Media, Silesian University Press, Gliwice, 2010.
• [6] Jędrysiak, J.: Termomechanics of laminates, plates and shells with functionally graded properties /in Polish/, Technical University of Łódź Press, Łódź, 2010.
• [7] Michalak, B.: Termomechanics of solids with a certain nonhonmogeneous microstructure: tolerance approximation technique /in Polish/, Technical University of Łódź Press, Łódź 2010.
• [8] Kula, D.: Assessment of the impact of the geometric structure of periodic composites on the intensity of damping the fluctuation of boundary loads /PhD dissertation in Polish/, Faculty of Civil Engineering, Architecture and Environmental Engineering, Łódź University of Technology, 2016.
• [9] Kula, D. and Wierzbicki, E.: On the Fourier series implementation issue tolerance modeling thermal conductivity of periodic composites, Engineering Transaction, 63, 1, 77-92, 2015.
• [10] Kula D.: On the existence of the sinusoidal-type temperature fluctuations independently suppressed by the periodic two-phased conducting layer, Acta Scientarum Polonorum, Ser, Arch., 63, 1, 77-92, 2015.
• [11] Woźniak, M., Wierzbicki, E. and Woźniak, C.: A macroscopic model of the diffusion and heat transfer processes in a periodically micro-stratified solid layer, Acta Mechanica, 157, 175-185, 2002.