3D Braided Material Based on Space Group R3 Symmetry

DOI: 10.4236/msa.2013.412098   PDF   HTML   XML   3,530 Downloads   4,822 Views   Citations


A unit cell geometrical structure was found with the use of symmetry operations corresponding to the point group C3. Based on the symmetry of space group R3, a 3D braided geometrical structure was obtained by transforming the unit-cell. The features corresponding to this braided structure were studied. The fiber volume percentage and variational tendencies of the material were predicted by establishing a geometric model.

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W. Ma and D. Yin, "3D Braided Material Based on Space Group R3 Symmetry," Materials Sciences and Applications, Vol. 4 No. 12, 2013, pp. 773-779. doi: 10.4236/msa.2013.412098.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. P. Mouritz, M. K. Bannister, P. J. Falzon, et al., “Review of Applications for Advanced Three-Dimensional Fibre Textile Composites,” Composites: Part A, Vol. 30, No. 12, 1999, pp. 1445-1461.
[2] X. M. Wang and Y. F. Xing, “Developments in Research on 3D Braided Composites,” Acta Aeronautica Et Astronautica Sinica, Vol. 31, No. 5, 2010, pp. 914-927.
[3] Y. Q. Wang and A. S. D. Wang, “Spatial Distribution of Yarns and Mechanical Properties in 3D Braided Tubular Composites,” Applied Composite Materials, Vol. 4, 1997, pp. 121-132
[4] W. Zhang, X. Ding and Y. L. Li, “Calculation and Design of Parameters for Four-step 3D Braided Preform with Complex Rectangular Cross Sections,” Journal of Industrial Textiles, Vol. 38, No. 2, 2008, pp. 139-150.
[5] Y. Sun, J. L. Li and L. Chen, “Topology Optimization of the Fiber Microstructure of 3D Multidirectional Braided Composites,” Journal of Textile Research, Vol. 28, No. 10, 2007, pp. 46-48.
[6] K. Xu and X. W. Xu, “Microstructure Model of 3D 5-Directional Rectangular Braided Composites,” Journal of Nanjing University of Aeronautics & Astronautics, Vol. 40, No. 2, 2008, pp. 168-172.
[7] J. C. Li and L. Chen, “Parameterized Unit Cell of 3-D Five-Directional Braided Composites,” Journal of Tianjin Polytechnic University, Vol. 27, No. 5, 2008, pp. 1-3.
[8] J. Y. Liu and L. Chen, “Microstructure of 3D Six-Directional Braided Preforms,” Journal of Tianjin Polytechnic University, Vol. 25, No. 6, 2006, pp. 5-8.
[9] D. S. Li, Z. X. Lu and L. Chen, “Microstructure Analysis of 3-Dimensional 7-Directional Braided Structure,” Acta Materiae Compositae Sinica, Vol. 23, No. 1, 2006, pp. 135-141.
[10] J. L. Li and Y. Sun, “Microstructure of the Two-Step Rectangle 3D Braided Composites,” Acta Materiae Compositae Sinica, Vol. 19, No. 4, 2002, pp. 69-75.
[11] W. Feng, W. S. Ma, “Group Theory Analysis of Braided Geometry Structures,” Chinese Science Bulletin, Vol. 50, No. 21, 2005, pp. 2529-2533.
[12] W.-S. Ma, J.-X. Zhu, Y. Jiang and C.-K. Yang, “3D Braided Geometric Structures Derived by Space Groups,” Journal of Materials Science & Engineering, Vol. 28, No. 5, 2010, pp. 653-657,687.
[13] R. H. Wang and K. X. Guo, “Crystallographic Symmetry Group,” Science Press, Beijing, 1990, p. 207.
[14] W. S. Ma and X. Z. Ren, Chinese Science Bulletin (Chinese Version), Vol. 56, 2011, pp. 598-603.
[15] F. K. Ko and C. M. Pastore, “Structure and Properties of Integrated 3D Fabric for Structural Composites,” American Society for Testing Material, 1985, pp. 428-439.
[16] C. L. Ma, J. M. Yang and T. W. Chou, “Elastic Stiffness of Three-dimensional Braided Textile Structural Composites,” American Society for Testing Material, 1986, pp. 404-421.
[17] J. M. Yang, C. L. Ma and T. W. Chou, “Fiber Inclination Model of Three-Dimensional Textile Structural Composites,” Journal of Composite Materials, Vol. 20, No. 5, 1986, pp. 472-484.
[18] G. W. Du, T. W. Chou and P. Popper, “Analysis of Three-Dimensional Textile Preforms for Multidirectional Reinforcement of Composites,” Journal of Materials Science, Vol. 26, No. 13, 1991, pp. 3438-3448.
[19] G. W. Du and F. K. Ko, “Unit Cell Geometry of 3-D Braided Structures,” Journal of Reinforced Plastics and Composites, Vol. 12, No. 7, 1993, pp. 752-768.

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