Abstract
With respect to obtaining the effective elastic moduli of the composite, the present theory differs from both Eshelby's equivalent inclusion method and Hill's self-consistent one, both of which only consider the mechanical properties of the matrix and inclusions (fibers). In fact, the inclusion-inclusion interaction is more pronounced when the volume fraction of inclusions of the composite increases. Hence, in this paper the effective elastic moduli of the composite are derived by taking into account the shapes, sizes and distribution of inclusions, and the interactions between inclusions. In addition, it is more convincing to assume short-fibers as cylindrical inclusions as in the present paper than as ellipsoidal ones as in others[7,8]. Finally, numerical results are given.
Similar content being viewed by others
References
Eshelby JD. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc Roy Soc, 1957, A241: 376–396
Kunin IA, ed. Elastic Media with Microstructure II. New York: Springer-Verlag, 1983. 170–181
Voigt W. Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper. In: Mura T, ed. Micromechanics of Defects of Solids. 2nd ed. The Netherlands: Martinus Nijhoff, 1987. 421
Reuss A. Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. In: Mura T. ed. Micromechanics of Defects in Solids, 2nd ed. The Netherlands: Martinus Nijhoff, 1987. 421
Hill R. The elastic behaviour of a crystalline aggregate. Proc Phys Soc, 1952, A 65: 349–354
Hill R. A self-consistent mechanics of composite materials.J Mech Phys Solids, 1965, 13: 213–222
Hashin Z, Shtrikman S. A variational approach to the elastic behaviour of multiphase materials.J Mech Phys Solids, 1963, 11: 127–134
Nomura S, Chou T-W. Bounds for elastic moduli of multiphase short-fiber composites.J Appl Mech, 1984, 51: 540–545
Mura T, ed. Micromechanics of Defects in Solids, 2nd ed. The Netherlands: Martinus Nijhoff, 1987, 7, 22
Halpin JC, Tsai SW. Effects on environmental factors in composite materials. In: Jones RM, ed. Mechanics of Composite Materials, New York: McGraw-Hill, 1975, 114
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shanyi, D., Linzhi, W. Prediction of the overall moduli of a cylindrical short-fiber reinforced composite. Acta Mech Sinica 9, 53–60 (1993). https://doi.org/10.1007/BF02489162
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02489162