Abstract
Theoretical analysis and numerical modeling of unidirectional fibrous micro- and nanocomposites carried out based on the theory of two-component mixture testify that the second mode of a transverse wave propagating along and polarized across the fibers may produce, at high frequencies, a kinematical pattern critical for the strength of the composite material. While the wave propagates, the components (matrix and fibers) of the mixture oscillate in antiphase. This fact may be critical because such oscillations generate forces separating the matrix and fibers, which is typical for the delamination of composite materials.
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REFERENCES
I. A. Guz and J. J. Rushchitsky, “Comparing the mechanical properties and effects in micro-and nanocomposites with carbon reinforcement (carbon microfibers, graphite microwhiskers, and carbon nanotubes),” Mekh. Komp.., 40, No. 3, 289–306 (2004).
E. P. Pleuddemann (ed.), Interfaces in Polymer Matrix Composites, Vol. 6 of the eight-volume series L. J. Broutman and R. H. Krock (eds.), Composite Materials, Academic Press, New York-London (1974).
L. J. Broutman (ed.), Fracture and Fatigue, Vol. 5 of the eight-volume series L. J. Broutman and R. H. Krock (eds.), Composite Materials, Academic Press, New York-London (1974).
J. J. Rushchitsky, Elements of Mixture Theory [in Russian], Naukova Dumka, Kiev (1991).
J. J. Rushchitsky and S. I. Tsurpal, Waves in Microstructural Materials [in Ukrainian], Inst. Mekh. im. S.P. Timoshenka NAN Ukrainy, Kiev (1998).
A. Bedford, G. S. Drumheller, and H. J. Sutherland “On modeling the dynamics of composite materials,” in: S. Nemat-Nasser, Mechanics Today, Vol. 3, Pergamon Press, New York (1976), pp. 1–54.
A. Bedford and G. S. Drumheller, “Theories of immiscible and structured mixtures,” Int. J. Eng. Sci., 2, No. 8, 863–960 (1983).
C. Cattani and J. J. Rushchitsky, “Cubically nonlinear elastic waves: wave equations and methods of analysis,” Int. Appl. Mech., 39, No. 10, 1115–1145 (2003).
A. N. Guz and J. J. Rushchitsky, “Nanomaterials: on the mechanics of nanomaterials,” Int. Appl. Mech., 39, No. 11, 1271–1293 (2003).
I. N. Guz and J. J. Rushchitsky, “Comparing the evolution characteristics of waves in nonlinearly elastic micro-and nanocomposites with carbon fillers,” Int. Appl. Mech., 40, No. 7, 785–793 (2004).
H. D. McNiven and Y. Mengi, “A mathematical model for the linear dynamic behaviour of two-phase periodic materials,” Int. J. Solids Struct., 15, No. 4, 271–280 (1979).
J. J. Rushchitsky, “Nonlinear waves in solid mixtures,” Int. Appl. Mech., 33, No. 1, 1–34 (1997).
J. J. Rushchitsky, “Interaction of waves in solid mixtures,” Appl. Mech. Rev., 52, No. 2, 35–74 (1999).
J. J. Rushchitsky, “Extension of the microstructural theory of two-phase mixtures to composite materials,” Int. Appl. Mech., 36, No. 5, 586–614 (2000).
R. H. T. Yeh, “Variational bounds of unidirectional fiber reinforced composites,” J. Appl. Phys., 44, No. 2, 419–428 (1973).
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Translated from Prikladnaya Mekhanika, Vol. 40, No. 10, pp. 78–87, October 2004.
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Guz, I.A., Rushchitsky, J.J. Theoretical description of a delamination mechanism in fibrous micro- and nanocomposites. Int Appl Mech 40, 1129–1136 (2004). https://doi.org/10.1007/s10778-005-0016-5
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DOI: https://doi.org/10.1007/s10778-005-0016-5