TY - JOUR
T1 - Stiffness predictions for unidirectional short-fiber composites
T2 - Review and evaluation
AU - Tucker, Charles L.
AU - Liang, Erwin
N1 - Funding Information:
Funding to the University of Illinois was provided by The General Electric Company and General Motors Corporation. This work was conducted in support of the Thermoplastic Engineering Design (TED) Venture, a Department of Commerce Advanced Technology Program administered by the National Institute of Standards and Technology. The authors are grateful to Mr. C. Matthew Dunbar of Hibbitt, Karlsson & Sorensen, Inc. for his assistance with mesh generation and the finite element analysis, and to Dr. T. D. Papathanasiou of the University of South Carolina for making available the detailed data from his recent paper.
PY - 1999/4
Y1 - 1999/4
N2 - Micromechanics models for the stiffness of aligned short-fiber composites are reviewed and evaluated. These include the dilute model based on Eshelby's equivalent inclusion, the self-consistent model for finite-length fibers, Mori-Tanaka type models, bounding models, the Halpin-Tsai equation and its extensions, and shear lag models. Several models are found to be equivalent to the Mori-Tanaka approach, which is also equivalent to the generalization of the Hashin-Shtrikman-Walpole lower bound. The models are evaluated by comparison with finite-element calculations which use periodic arrays of fibers, and to Ingber and Papathanasiou's boundary element results for random arrays of aligned fibers. The finite-element calculations provide E11, E22, v12, and v23 for a range of fiber aspect ratios and packing geometries, with other properties typical of injection-molded thermoplastic matrix composites. The Halpin-Tsai equations give reasonable estimates for stiffness, but the best predictions come from the Mori-Tanaka model and the bound interpolation model of Leilens et al.
AB - Micromechanics models for the stiffness of aligned short-fiber composites are reviewed and evaluated. These include the dilute model based on Eshelby's equivalent inclusion, the self-consistent model for finite-length fibers, Mori-Tanaka type models, bounding models, the Halpin-Tsai equation and its extensions, and shear lag models. Several models are found to be equivalent to the Mori-Tanaka approach, which is also equivalent to the generalization of the Hashin-Shtrikman-Walpole lower bound. The models are evaluated by comparison with finite-element calculations which use periodic arrays of fibers, and to Ingber and Papathanasiou's boundary element results for random arrays of aligned fibers. The finite-element calculations provide E11, E22, v12, and v23 for a range of fiber aspect ratios and packing geometries, with other properties typical of injection-molded thermoplastic matrix composites. The Halpin-Tsai equations give reasonable estimates for stiffness, but the best predictions come from the Mori-Tanaka model and the bound interpolation model of Leilens et al.
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U2 - 10.1016/S0266-3538(98)00120-1
DO - 10.1016/S0266-3538(98)00120-1
M3 - Article
AN - SCOPUS:0033117539
SN - 0266-3538
VL - 59
SP - 655
EP - 671
JO - Composites Science and Technology
JF - Composites Science and Technology
IS - 5
ER -