Abstract
Sets of physical constants are tabulated for three structural models of fibrous composites with fibers of four types: Thornel-300 carbon microfibers, graphite whiskers, carbon zigzag nanotubes, and carbon chiral nanotubes. The matrix for all the types of composites is always ÉPON-828 epoxy rosin (in some cases with polystyrene or pyrex additive). The values of the physical constants are commented on and used to study the distinctions in the evolution of three types of waves (plane longitudinal, plane transverse, and cylindrical) propagating in materials with soft and hard nonlinearities
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. N. Guz (ed.), Mechanics of Composites [in Russian], Naukova Dumka (vols. 1–4), A.S.K. (vols. 5–12), Kiev (1993)–(2003).
I. N. Frantsevich and D. M. Karpinos, Fibrous Composite Materials [in Russian], Naukova Dumka, Kiev (1970).
A. I. Lurie, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow (1980).
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. S. P. Timoshenka, 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., 21, No. 8, 863–960 (1983).
A. N. Guz and J. J. Rushchitsky, “Nanomaterials: On mechanics of nanomaterials,” Int. Appl. Mech., 39, No. 11, 1271–1293 (2003).
I. A. Guz and J. J. Rushchitsky, “Comparion of mechanical properties and effects in micro-and nanocomposites with carbon fillers (carbon microfibers, graphite microwhiskers, and carbon nanotubes,” Mech. Comp. Mater., 40, No. 3, 179–190 (2004).
I. A. 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).
I. A. Guz and J. J. Rushchitsky, “Theoretical description of a delamination mechanism in fibrous micro-and nanocomposites,” Int. Appl. Mech., 40, No. 10, 1029–1036 (2004).
H. Kauderer, Nichtlineare Mechanik, Springer Verlag, Berlin (1958).
B. P. Maslov, J. J. Rushchitsky, and A. P. Kovalenko, “Physical constants of a nonlinear microstructural theory of two-phase elastic mixtures for several granular structural composites,” Int. Appl. Mech., 32, No. 12, 977–984 (1996).
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).
J. J. Rushchitsky, “Quadratically nonlinear cylindrical hyperelastic waves: Primary analysis of evolution,” Int. Appl. Mech., 41, No. 7, 770–777 (2005).
J. J. Rushchitsky and C. Cattani, “Cubically nonlinear elastic waves: Wave equations and methods of analysis,” Int. Appl. Mech., 39, No. 10, 1115–1145 (2003).
J. J. Rushchitsky and C. Cattani, “Cubically nonlinear versus quadratically nonlinear elastic waves: Main wave effects,” Int. Appl. Mech., 39, No. 12, 1361–1399 (2003).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 12, pp. 47–60, December 2005.
Rights and permissions
About this article
Cite this article
Cattani, C., Rushchitsky, J.J. & Sinchilo, S.V. Physical constants for one type of nonlinearly elastic fibrous micro-and nanocomposites with hard and soft nonlinearities. Int Appl Mech 41, 1368–1377 (2005). https://doi.org/10.1007/s10778-006-0044-9
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-006-0044-9