Boundary layer phenomena in elastodynamics of functionally graded laminates

• Autorzy: Rychlewska J. , Woźniak Cz.
• Konferencja: International Conference on Continuous and Discrete Modelling in Mechanics (05-09.09.2005 ; Warsaw ; Poland)
• Języki publikacji: EN

Abstrakty

EN

The object of considerations are micro-laminated two-phase solids having macroscopic properties continuously varying in the direction normal to the layering (functionally graded laminates, FGL). The main question posed in this contribution is how to investigate both micro- and macro- dynamic response of the linear-elastic FGL. To answer this question, a new approximate mathematical model of FGL is proposed. This model is represented by a certain refined homogenized equation of motion for averaged displacements and a boundary-layer equation for intrinsic displacement fluctuations. Main attention is given to the investigations of near-initial and near-boundary dynamic phenomena in FGL, which are related to the specific form of initial and boundary conditions. For a periodically laminated medium the obtained results reduce to those derived in [7].

Słowa kluczowe

EN

functionally graded laminates; elastodynamics; micro and macro dynamic response; microvibration analysis; boundary layer phenomena; numerical analysis

PL

laminaty funkcjonalne FGL; charakterystyki dynamiczne w skali mikro i makro; mikrodrgania; efekt warstwy granicznej; analiza numeryczna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 4-5
• Strony: 431--444
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Rychlewska J.

autor

Woźniak Cz.

• Institute of Mathematics and Computer Sciences, Częstochowa University of Technology, Dąbrowskiego 73, 42-200 Częstochowa,

Bibliografia

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• 2. A. BENSOUSSAN, J. L. LIONS, G. PAPANICOLAU, Asymptotic analysis for periodic structures North-Holland, Amsterdam 1978.
• 3. C. BOUTIN, J. L. AURIAULT, Rayleigh scattering m elastic composite materials, Int. J. Engng Sci., 12, 1669-1689, 1993.
• 4. J. FISH, WEN-C HEN, Higher-order homogenization of initial-boundary value problems, J. Eng. Mech., 127, 1223-1230, 2001.
• 5. S. SURESH, A. MORTENSEN, Fundamentals of functionally graded materials The University Press, Cambridge 1998.
• 6. Cz. WOŹNIAK, E. WIERZBICKI, Averaging technigues in thermomechanics of composite solids, Wyd. Politechniki Częstochowskiej, Częstochowa 2000.
• 7. Cz. WOŹNIAK, E. WIERZBICKI, L. ŁACIŃSKA, Boundary and initial fluctuation effect on dynamic behaviour of a laminated solid, Arch. Appl. Mech., 74, 618-628, 2005.