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TECHNICAL PAPERS

The Fiber Composite With Nonlinear Interface—Part II: Antiplane Shear

[+] Author and Article Information
A. J. Levy

Department of Mechanical, Aerospace and Manufacturing Engineering, Syracuse University, Syracuse, NY 13244-1240

J. Appl. Mech 67(4), 733-739 (Jun 25, 2000) (7 pages) doi:10.1115/1.1329320 History: Received May 07, 1999; Revised June 25, 2000
Copyright © 2000 by ASME
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References

Needleman,  A., 1987, “A Continuum Model for Void Nucleation by Inclusion Debonding,” ASME J. Appl. Mech., 54, pp. 525–531.
Hashin,  Z., and Rosen,  B. W., 1964, “The Elastic Moduli of Fiber Reinforced Materials,” ASME J. Appl. Mech., 31, pp. 223–232.
Hashin,  Z., 1990, “Thermoelastic Properties of Fiber Composites With Imperfect Interface,” Mech. Mater., 8, pp. 333–348.
Dong, Z., and Levy, A. J., 2000, “Mean Field Estimates of the Response of Fiber Composites with Nonlinear Interface,” Mech. Mater., to appear.
Benveniste,  Y., 1985, “The Effective Mechanical Behavior of Composite Materials With Imperfect Contact Between the Constituents,” Mech. Mater., 4, pp. 197–208.
Aboudi, J., 1991, Mechanics of Composite Materials, Elsevier, Amsterdam.
Gurtin, M. E., 1984, “The Linear Theory of Elasticity,” Mechanics of Solids Vol. 2, C. Truesdell, ed., Springer-Verlag, Heidelberg, pp. 1–273.
Needleman,  A., 1992, “Micromechanical Modelling of Interfacial Decohesion,” Ultramicroscopy, 40, pp. 203–214.
Levy,  A. J., 1996, “The Effective Dilatational Response of Fiber Reinforced Composites With Nonlinear Interface,” ASME J. Appl. Mech., 63, pp. 357–364.
Levy,  A. J., and Dong,  Z., 1998, “Effective Transverse Response of Fiber Composites With Nonlinear Interface,” J. Mech. Phys. Solids, 46, pp. 1279–1300.
Levy,  A. J., 1997, “On the Nucleation of Cavities in Planar Elasticity,” Philos. Trans. R. Soc. London, Ser. A, 355, pp. 2417–2458.
Levy,  A. J., 2000, “The Fiber Composite With Nonlinear Interface—Part I: Axial Tension,” ASME J. Appl. Mech., 67, pp. 727–732.
Sangani,  A. S., and Mo,  G., 1997, “Elastic Interactions in Particulate Composites With Perfect as Well as Imperfect Interfaces,” J. Mech. Phys. Solids, 45, pp. 2001–2031.

Figures

Grahic Jump Location
Composite cylinder geometry
Grahic Jump Location
The tangential interface force law
Grahic Jump Location
Bounds on antiplane shear stress-strain response, c=0.5,ρ=0.01
Grahic Jump Location
Effect of force length ratio on antiplane shear stress-strain response, c=0.3
Grahic Jump Location
Effect of concentration on antiplane shear stress-strain response, ρ=0.01

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