Stiffness predictions for unidirectional short-fiber composites: Review and evaluation

Composites Science and Technology

Volumn 59, Issue 5, 1999, Pages 655-671

  Tucker III, Charles L ^a   Liang, Erwin ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b GE GLOBAL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY ELEMENT METHOD; COMPOSITE MICROMECHANICS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STIFFNESS;

ESHELBY'S EQUIVALENT INCLUSION; HALPIN-TSAI MODEL; MORI-TANAKA MODEL; UNIDIRECTIONAL SHORT FIBER COMPOSITES;

FIBER REINFORCED PLASTICS;

FIBER LENGTH; FIBER REINFORCED COMPOSITE; MODEL; TESTING;

EID: 0033117539     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-3538(98)00120-1     Document Type: Article

References (63)

1. Tucker CL, O'Gara JF, Harris J, Inzinna L. Stiffness predictions for misoriented short-fiber composites: review and evaluation. Manuscript in preparation.
2. Hill R. Elastic properties of reinforced solids: some theoretical principles. J Mech Phys Solids 1963;11:357-72.
3. Hashin Z. Analysis of composite materials - a survey. ASME J Applied Mech 1983;50:481-505.
4. Hashin Z. Theory of mechanical behavior of heterogeneous media. Appl Mech Reviews 1964;17:1-9.
5. Eshelby JD. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc Roy Soc A 1957;241:376-96.
6. Eshelby JD. Elastic inclusions and inhomogeneities. In: Sneddon IN, Hill R, editors. Progress in Solid Mechanics, vol. 2. Amsterdam: North-Holland, 1961. p. 89-140.
7. Mura T. Micromechanics of Defects in Solids. The Hague: Martinus Nijhoff, 1982.
8. Taya M, Mura T. On stiffness and strength of an aligned short-fiber reinforced composite containing fiber-end cracks under uniaxial applied stress. ASME J Applied Mech 1981;48:361-7.
9. Taya M, Chou T-W. On two kinds of ellipsoidal inhomogeneities in an infinite elastic body: an application to a hybrid composite. Int J Solids Structures 1981;17:553-63.
10. Taya M. On stiffness and strength of an aligned short-fiber reinforced composite containing penny-shaped cracks in the matrix. J Compos Mater 1981;15:198-210.
11. Tandon GP, Weng GJ. The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites Polym Compos 1984;5:327-33.
12. Taya M, Arsenault RJ. Metal Matrix Composites: Thermomechanical Behavior. Oxford: Pergamon Press, 1989.
13. Eshelby JD. The elastic field outside an ellipsoidal inclusion. Proc Roy Soc A 1959;252:561-9.
14. Russel WB. On the effective moduli of composite materials: effect of fiber length and geometry at dilute concentrations. J Appl Math Phys (ZAMP) 1973;24:581-600.
15. Chow TS. Elastic moduli of filled polymers: The effect of particle shape. J Appl Phys 1977;48:4072-4075.
16. Steif PS, Hoysan SF. An energy method for calculating the stiffness of aligned short-fiber composites. Mech Mater 1987;6:197-210.
17. Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 1973;21:571-4.
18. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mech Mater 1987;6: 147-57.
19. Wakashima K, Otsuka M, Umekawa S. Thermal expansion of heterogeneous solids containing aligned ellipsoidal inclusions. J Compos Mater 1974;8:391-404.
20. Weng GJ. Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int J Engng Sci 1984;22:845-56.
21. Chow TS. Effect of particle shape at finite concentration on the elastic modulus of filled polymers. J Polym Sci: Polym Phys Ed 1978;16:959-65.
22. Ferrari M. Composite homogenization via the equivalent poly-inclusion approach. Compos Engr 1994;4:37-45.
23. Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids 1965;13:213-22.
24. Budiansky B. On the elastic moduli of some heterogeneous materials. J Mech Phys Solids 1965;13:223-7.
25. Laws N, McLaughlin R. The effect of fibre length on the overall moduli of composite materials. J Mech Phys Solids 1979;27:1-13.
26. Chou T-W, Nomura S, Taya M. A self-consistent approach to the elastic stiffness of short-fiber composites. J Compos Mater 1980;14:178-88.
27. Chou T-W, Nomura S, Taya M. A self-consistent approach to the elastic stiffness of short-fiber composites. In: Vinson JR, editor. Modern Developments in Composite Materials and Structures. New York: ASME, 1979. p. 149-64.
28. Lin SC, Mura T. Elastic fields of inclusions in anisotropic media (II). Phys Stat Sol (a) 1973;15:281-5.
29. Kerner EH. The elastic and thermo-elastic properties of composite media. Proc Phys Soc B 1956;69:808-813.
30. Hermans JJ. The elastic properties of fiber reinforced materials when the fibers are aligned. Proc Kon Ned Akad v Wetensch B 1967;65:1-9.
31. Christensen RM, Lo KH. Solutions for effective shear properties in three phase sphere and cylinder models. J Mech Phys Solids 1979;27:315-330 erratum: v34 p. 639.
32. Hill R. The elastic behaviour of a crystalline aggregate. Proc Phys Soc A 1952;65:349-54.
33. Wu C-TD, McCullough RL. Constitutive Relationships for Heterogeneous Materials 118-186 GS Holister (ed.) Developments in Composites Materials-1 Applied Science London 1977.
34. Hashin Z, Shtrikman S. On some variational principles in anisotropic and nonhomogeneous elasticity. J Mech Phys Solids 1962;10:335-42.
35. Hashin Z, Shtrikman S. A Variational Approach to the Theory of The Elastic Behavior of Multiphase Materials. J Mech Phys Solids 1963;11:127-40.
36. Walpole LJ. On bounds for the overall elastic moduli for inhomogeneous systems - I. J Mech Phys Solids 1966;14:151-62.
37. Walpole LJ. On bounds for the overall elastic moduli for inhomogeneous systems - II. J Mech Phys Solids 1966;14:289-301.
38. Walpole LJ. On the overall elastic moduli of composite materials. J Mech Phys Solids 1969;17:235-51.
39. Willis JR. Bounds and Self-Consistent Estimates for the Overall Properties of Anisotropic Composites. J Mech Phys Solids 1977;25:185-202.
40. Weng GJ. Explicit Evaluation of Willis' Bounds with Ellipsoidal Inclusions. Int J Engng Sci 1992;30:83-92.
41. Eduljee RF, McCullough RL, Gillespie JW. The Influence of Aggregated and Dispersed Textures on the Elastic Properties of Discontinuous-Fiber Composites. Compos Sci Technol 1994;50:381-91.
42. Eduljee RF, McCullough RL, Gillespie JW. The Influence of Inclusion Geometry on the Elastic Properties of Discontinuous Fiber Composites. Polym Eng Sci 1994;34:352-60.
43. Lielens G, Pirotte P, Couniot A, Dupret F, Keunings R. Prediction of thermo-mechanical properties for compression-moulded composites. Composites A 1997;29:63-70.
44. Ashton JE, Halpin JC, Petit PH. Primer on Composite Materials: Analysis Technomic Stamford Conn 1969.
45. Halpin JC. Stiffness and Expansion Estimates for Oriented Short Fiber Composites. J Compos Mater 1969;3:732-4.
46. Halpin JC, Kardos JL. The Halpin-Tsai Equations: A Review. Polym Eng Sci 1976;16:344-52.
47. Hill R. Theory of Mechanical Properties of Fibre-Strengthened Materials: I Elastic Behaviour
48. Hashin Z. On the Elastic Behaviour of Fibre ReinforcedMaterials of Arbitrary Transverse Phase Geometry. J Mech Phys Solids 1965;13:119-34.
49. Hashin Z, Rosen BW. The Elastic Moduli of Fiber-Reinforced Materials. ASME J Applied Mech 1964;31:223-32.
50. Hashin Z. The Elastic Moduli of Heterogeneous Materials. ASME J Applied Mech 1962;29:143-50.
51. Hewitt RL, de Malherbe MC. An Approximation for the Longitudinal Shear Modulus of Continuous Fibre Composites. J Compos Mater 1970;4:280-2.
52. Lewis TB, Nielsen LE. Dynamic Mechanical Properties of Particulate-Filled Composites. J Appl Poly Sci 1970;14:1449-71.
53. Nielsen LE. Generalized Equation for the Elastic Moduli of Composite Materials. J Appl Phys 1970;41:4626-7.
54. Ingber MS, Papathanasiou TD. A Parallel-Supercomputing Investigation of the Stiffness of Aligned Short-Fiber-Reinforced Composites using the Boundary Element Method. Int J Num Meth Engr 1997;40:3477-91.
55. Cox HL. The elasticity and strength of paper and other fibrous materials. Brit J Appl Phys 1952;3:72-9.
56. Rosen BW. Tensile Failure of Fibrous Composites. AIAA J 1964;2:1985-91.
57. Rosen BW. Mechanics of Composite Strengthening Fiber Composite Materials. ASM Metals Park OH 1965;37-75.
58. Carman GP, Reifsnider KL. Micromechanics of short-fiber composites. Compos Sci Technol 1992;43:137-46.
59. Robinson IM, Robinson JM. The effect of fibre aspect ratio on the stiffness of discontinous fibre-reinforced composites. Composites 1994;25:499-503.
60. Robinson IM, Robinson JM. The influence of fibre aspect ratio on the deformation of discontinous fibre-reinforced composites. J Mater Sci 1994;29:4663-77.
61. Clyne TW. A simple development of the shear lag theory appropriate for composites with a relatively small modulus mismatch. Matls Sci Eng A 1989;122:183-92.
62. Fukuda H, Kawata K. On Young's Modulus of Short Fibre Composites. Fibre Sci Tech 1974;7:207-22.
63. ABAQUS/Standard User's Manual Hibbitt Karlsson and Sorensen Inc Pawtucket RI 1996.