Mots-clés : composite
@article{VTGU_2015_3_a7,
author = {S. Darya zadeh and G. I. Lvov},
title = {The calculation of effective elastic constants in a composite with {3D} orthogonal nonwoven fibers},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {60--68},
year = {2015},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VTGU_2015_3_a7/}
}
TY - JOUR AU - S. Darya zadeh AU - G. I. Lvov TI - The calculation of effective elastic constants in a composite with 3D orthogonal nonwoven fibers JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2015 SP - 60 EP - 68 IS - 3 UR - http://geodesic.mathdoc.fr/item/VTGU_2015_3_a7/ LA - en ID - VTGU_2015_3_a7 ER -
%0 Journal Article %A S. Darya zadeh %A G. I. Lvov %T The calculation of effective elastic constants in a composite with 3D orthogonal nonwoven fibers %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2015 %P 60-68 %N 3 %U http://geodesic.mathdoc.fr/item/VTGU_2015_3_a7/ %G en %F VTGU_2015_3_a7
S. Darya zadeh; G. I. Lvov. The calculation of effective elastic constants in a composite with 3D orthogonal nonwoven fibers. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2015), pp. 60-68. http://geodesic.mathdoc.fr/item/VTGU_2015_3_a7/
[1] Voigt W., “Über die Beziehung zwischen den beiden Elastizitätskonstanten Isotroper Körper”, Wied. Ann., 38 (1889), 573–587
[2] Reuss A., “Berechnung der Fliessgrense von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle”, Zeitschrift Angewandte Mathematik und Mechanik, 1929, no. 9, 49–58 | Zbl
[3] Vanin G. A., Micro-Mechanics of Composite Materials, Nauka Dumka Publ., Kiev, 1985
[4] Halpin J. C., Kardos J. L., “The Halpin-Tsai equations: A review”, Polymer Engineering and Science, 16:5, May (1976)
[5] Chamis C. C., “Mechanics of composite materials: past, present and future”, J. Compos. Technol. Res. ASTM, 1989, no. 11, 3–14
[6] Hashin Z., Rosen B. W., “The elastic moduli of fiber reinforced materials”, Journal of Applied Mechanics, Trans. ASME, 31 (1964), 223–232
[7] Alfootov N. A., Calculation of laminated plates and shells made of composite materials, Mashinostroitelni Publ., M., 1984
[8] Christensen R. M., “A critical evaluation for a class of micromechanical models”, Journal of Mechanics and Physics of Solids, 38:3 (1990), 379–404
[9] Mori T., Tanaka K., “Average stress in matrix and average elastic energy of materials with misfitting inclusions”, Acta Mettall., 21 (1973), 571–574 | MR
[10] Hill R., “Theory of mechanical properties of fiber-strengthen materials. 3: Self-consistent model”, Journal of Mechanics and Physics of Solids, 13 (1965), 189–198
[11] Bubiansky B., “On the elastic modulli of some heterogeneous materials”, Journal of Mechanics and Physics of solids, 13 (1965), 223–227
[12] Chou Tw., Nomura S., Taya M., “A self-consistent approach to the elastic stiffness of short-fiber composites”, J. Compos. Mater., 14 (1980), 178–188
[13] Huang Z. M., “Simulation of the mechanical properties of fibrous composites by the bridging micromechanics model”, Composites: Part A, 32 (2001), 143–172
[14] Huang Z. M., “Micromechanical prediction of ultimate strength of transversely isotropic fibrous composites”, International Journal of Solids and Structures, 38 (2001), 4147–4172 | Zbl
[15] Carpeenosa D. M., Composite Materials, Nauka Dumka Publ., Kiev, 1985
[16] Darya zadeh S., “A numerical method for determination of the effective characteristics of unidirectionally reinforced composites”, Vestnik KhPI, 58 (2013), 71–77
[17] Darya zadeh S., Lvov G. I., “A numerical method for determination of the effective characteristics of unidirectionally reinforced composites with hexagonal structure”, Aviation — Aerospace Technology and Technology “KhAI”, 2014, no. 2(109), 59–65