On Fourier implementation of tolerance modeling of linear elastodynamics of periodic composites

• Autorzy: Kula D.
• Języki publikacji: EN

Abstrakty

EN

The report presents a new model of linear elastodynamics of periodic composites. The study deals with a certain extension of the ideas yield tolerance modelling. In the proposed model the displacement field is determined by an infinite number of unknowns. This disappointment seems to be apparent in many cases of periodicity since the sequence of tolerance shape functions used in the modelling procedure is not unique and opens the possibility to control the model equations. It has been formulated and solved, within the framework of the resulting model, the problem of independence short-term and long-term perturbations by linearly elastic composite solid.

Słowa kluczowe

EN

tolerance averaging; linear elastodynamics; periodic composites; boundary effect behaviour; short-wave perturbations

PL

tolerancyjne uśrednienie; liniowa elastodynamika; kompozyty periodyczne; zagadnienie efektu brzegowego

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 4
• Strony: 73--80
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Kula D.

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

Bibliografia

• [1] Woźniak C., Wierzbicki E., Averaging Techniques in Thermomechanics of Composite Solids, Częstochowa University of Technology Press, Częstochowa 2000.
• [2] Woźniak C. (ed.), Developments in Mathematical Modeling and Analysis of Microstructured Media, Silesian Technical University Press, Gliwice 2010.
• [3] Woźniak C. (ed.), Thermomechanics of Microheterogeneous Solids and Structures. Tolerance Averaging Approach, Lodz Technical University Press, Lodz 2009.
• [4] Jędrysiak J., Termomechanika laminatów, płyt i powłok o funkcyjnej gradacji własności, Lodz Technical University Press, Lodz 2010.
• [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] Cielecka I., Jędrysiak J., A non-asymptotic model of dynamics of honeycomb lattice-type plates, J. Sound and Vibration 2006, 296, 130-149.
• [9] Nagórko W., Wągrowska M., A contribution to modeling of composite solids, J. Theor. Appl. Mech. 2002, 40, 149-158.
• [10] Wierzbicki E., Woźniak C., On the dynamic behaviour of honeycomb based composite solids, Acta Mechanica 2000, 141, 161-172.
• [11] Mazewska M., Tolerance Modeling of Boundary Effect Behavior in Hexagonal-type Composites, Doctoral dissertation, Warsaw University of Life Sciences, Warsaw 2013.
• [12] 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.