A homogenisation scheme and its application to evaluation of elastic properties of three-dimensional braided composites

Composites Part B: Engineering

Volumn 32, Issue 1, 2001, Pages 67-86

  Zuorong, Chen ^a   Dechao, Zhu ^a   Lu, Meng ^a,b   Ye, Lin ^b  

^a BEIHANG UNIVERSITY   (China)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

A. 3 Dimensional reinforcement; C. Analytical modelling; C. Elasticity; C. Micro mechanics; E. Braiding

Indexed keywords

ELASTICITY; FIBER REINFORCED MATERIALS; INTERFACES (MATERIALS);

ANALYTICAL MODELING; BRAIDING; MICRO-MECHANICS;

COMPOSITE MATERIALS;

EID: 9444265368     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-8368(00)00051-2     Document Type: Article

References (42)

1. Nemat-Nasser S, Hori M. Micrcomechanics: overall properties of heterogeneous materials, North-Holland Series in Applied Mathematics and Mechanics. Amsterdam: North-Holland, 1993.
2. Aboudi J. Mechanics of composite materials - a unified micromechanical approach. Amsterdam: Elsevier, 1991.
3. Willis JR. Variational and related methods for the overall properties of composites. Adv Appl Mech 1981;21:1-78.
4. Hill R. Theory of mechanical properties of fibre-reinforced materials: I. Elastic behaviour. J Mech Phys Solids 1964;12:199-212.
5. Budiansky B. On the elastic moduli of some heterogeneous materials. J Mech Phys Solids 1965;13:223-7.
6. Chou TW. Micro structural design of fiber composites. Cambridge: Cambridge University Press, 1992.
7. Ko FK, Pastore CM. Structure and properties of an integrated 3-D fabric for structural composites. In: Vinson JR, Taya M, editors. Recent advances in composites in the United States and Japan, ASTM STP 864. Philadelphia: American Society for Testing and Materials, 1985.
8. Zhang YC, Harding J. A numerical micromechanics analysis of the mechanical properties of a plain weave composites. Comput Struct 1990;36(5):839-44.
9. Li W, Hammad M. Structural analysis of 3-d braided preforms for composites, Part I: the four-step preforms. J Textile Inst 1990;81(4):491-514.
10. Ishihashi H, Hammada H, Ikuta N, Maekawa Z. Finite element analysis of woven fabric composites considering interfacial properties. In: The Annual Meeting of the Society of Interfacial Science in Composites, Japan, vol. 2(2), 1994.
11. Cox BN, Carter WC, Fleck NA. A binary model of textile composites - I. Formulation. Acta Metall Mater 1994;42(10):3463-79.
12. Gaessegen EH, Pastsore CM, Griffin OH, Birger A. Geometrical and finite element modeling of textile composites. Composites: Part B 1996;27:43-50.
13. Hashin Z, Rosen RW. The elastic moduli of fiber-reinforced materials. J Appl Mech 1994;31(1):223-32.
14. Hashin Z, Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials. J Mech Phys Solids 1963;11:127-40.
15. Hashin Z. Analysis of properties of fiber composites with anisotropic constituents. J Appl Mech 1979;46:543-50.
16. Aboudi J. Micromechanical analysis of composites by the method of cells. Appl Mech Rev 1989;42(7):103-28.
17. Hull D. An introduction to composite materials. Cambridge: Cambridge University Press, 1981.
18. Pastore CM, Gowayed YA. A self-consistent fabric geometry model: modification and application of a fabric geometry model to predict elastic properties of textile composites. J Compos Technol Res 1994;16(1):32-6.
19. Yang JM, Ma CL, Chou TW. Fiber inclination model of three-dimensional textile structural composites. J Compos Mater 1986;20:472-84.
20. Raju I, Wang JT. Classical laminate theory models for woven fabric composites. J Compos Mater Technol Res 1994;16(4):289-303.
21. Ishikawa T, Chou TW. In-plane thermal expansion and thermal bending coefficients of fabric. J Mater Sci 1993;17(2):3211-20.
22. Ishikawa T, Chou TW. Elastic behavior of woven hybrid composites. J Compos Mater 1982;16(1):2-19.
23. Ishikawa T, Chou TW. One-dimensional micromechanical analysis of woven fabric composites. J AIAA 1983;21(12):1714-21.
24. Naik NK, Shembekar PS. Elastic behaviour of woven fabric composites: I - lamina analysis. J Compos Mater 1992;26(15):2197-225.
25. Shembekar PS, Naik NK. Elastic behaviour of woven fabric composites: II -laminate analysis. J Compos Mater 1992;26(15):2226-46.
26. Naik NK, Shembekar PS. Elastic behaviour of woven fabric composites: III -laminate design. J Compos Mater 1992;26(15):2523-41.
27. Halpin JC, Jerine K, Whitney JM. The laminate analogy for 2 and 3 dimensional composite materials. J Compos Mater 1951;5(1):36-49.
28. Dasgupta A, Agarwal RK, Bhandarkar SM. Three-dimensional modeling of woven-fabric composites for effective thermo-mechanical and thermal properties. Compos Sci Technol 1996;56(3):209-23.
29. Chou PC, Carleone J, Hsu CM. Elastic constants of layered media. J Compos Mater 1972;6:80-93.
30. Mohajerjasbi S. Structure and properties of three-dimensional braided composites including axial yarns. AIAA J 1996;34(1):209-11.
31. Nishimatsu C, Gurland J. Experimental survey of the deformation of the hard-ductile two-phase alloy system WC-Co. Trans Am Soc Metals 1960;52:469-84.
32. Pandey R, Hahn HT. Visualization of representative volume elements for three-dimensional four-step braided composites. Compos Sci Technol 1996;56:161-70.
33. Du GW, Ko FK. Unit cell geometry of 3-D braided structures. J Reinf Plast Compos 1993;12(7):752-68.
34. Wang YQ, Wang ASD. On the topological yarn structure of 3-d rectangular and tubular braided preforms. Compos Sei Technol 1994;51:575-86.
35. Byun JH, Chou TW. Process-microstructure relationships of 2-step and 4-step braided composites. Compos Sci Technol 1996;56:235-51.
36. Byun JH, Whitney TJ, Du GW, Chou TW. Analytical characterization of two-step braided composites. J Compos Mater 1991;25(12):599-618.
37. Whitney TJ, Chou TW. Modeling of 3-D angle-interlock textile structural composites. J Compos Mater 1989;23(9):891-911.
38. Du GW, Chou TW. Analysis of three-dimensional textile preform for multidirectional reinforcement of composites. J Mater Sci 1991;26:3438-48.
39. Mohajerjasbi S. Fiber architecture of three-dimensional braided composites. AIAA J 1998;36(4):613-7.
40. Chen ZR, Zhu DC, Lu M. Unit cell geometric model of 3-D 4-step braided composites. Journal of Beijing University of Aeronautics and Astronautics 2000;25(5):539-42.
41. Macander AB, Crane RM, Camponeschi Jr. ET. Fabrication and mechanical properties of multi-dimensionally (X-D) braided composite materials. In: Whitney JM, editor. Composite Materials: Test and Design (Seventh Conference), ASTM STP 893. Philadelphia: American Society for Testing and Materials, 1986. p. 422-43.
42. Kalidindi SR, Abusafieh A. Longitudinal and transverse moduli and strengths of low angle 3-d braided composites. J Compos Mater 1996;30(8):885-905.