[1] Wang X M, Xing Y F. Developments in research on 3D braided composites. Acta Aeronautica et Astronautica Sinica, 2010, 31(5): 914-927. (in Chinese) 汪星明, 邢誉峰. 三维编织复合材料研究进展.航空学报, 2010, 31(5): 914-927.[2] Byun J H. The analytical characterization of 2-D braided textile composites. Composites Science and Technology, 2000, 60(5): 705-716.[3] Lu Z X, Liu Z X. Elastic properties for 3 dimension 5 directional braided composites. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(4): 455-460. (in Chinese) 卢子兴, 刘子仙. 三维五向编织复合材料的弹性性能. 北京航空航天大学学报, 2006, 32(4): 455-460.[4] Zhang C, Xu X W, Guo S X. Microstructure model and finite element analysis of mechanical properties of 2D 1×1 biaxial braided composites. Acta Materiae Compositae Sinica, 2011,28(6): 215-222. (in Chinese) 张超,许希武,郭树祥. 二维二轴1×1编织复合材料细观结构模型及力学性能有限元析.复合材料学报, 2011, 28(6): 215-222.[5] Li J C, Chen L, Zhang Y F, et al. Microstructure and finite element analysis of 3D five directional braided composites. Journal of Reinforced Plastics & Composites, 2011, 31(2): 107-115.[6] Peng X, Cao J. A dual homogenisation and finite element approach for material characterization of textile composites. Composites Part B, 2002, 33(1): 45-56.[7] Chen L, Tao X M, Choy C L. Mechanical analysis of 3-D braided composites by the finite multiphase element method. Composites Science and Technology, 1999, 59(16): 2383-2391.[8] Hori M, Nemat-Nasser S. On two micromechanics theories for determining micro-macro relations in heterogeneous solids. Mechanics of Materials, 1999, 31(10): 667-682.[9] Whitcomb J D, Chapman C D, Tang X D. Derivation of boundary conditions for micromechanics analysis of plain and satin weave composites. Journal of Composite Materials, 2000, 34(9): 724-747.[10] Xia Z H, Zhang Y F, Ellyin F. A unified periodical boundary conditions for representative volume elements of composites and applications. International Journal of Solids and Structures, 2003, 40(8): 1907-1921.[11] Li S G, Wongsto A. Unit cells for micromechanical analyses of particle-reinforced composites. Mechanics of Materials, 2004, 36(7): 543-572.[12] Li S G. Boundary conditions for unit cells from periodic microstructures and their implications. Composites Science and Technology, 2008, 68(9): 1962-1974.[13] Fang G D, Liang J, Wang B L. Progressive damage and nonlinear analysis of 3D four-directional braided composites under unidirectional tension. Composite Structures, 2009, 89(1): 126-133.[14] Xu K, Xu X W. Finite element analysis of mechanical properties of 3D five-directional braided composites. Materials Science and Engineering A, 2008, 487(1-2): 499-509.[15] Li D S, Fang D N, Lu Z X, et al. Finite element analysis of mechanical properties of 3D four directional rectangular braided composites, Part 2: validation of 3D finite element model. Applied Composites Materials, 2010, 17(4): 389-404.[16] Li S, Zhou C, Yu H, et al. Formulation of a unit cell of a reduced size for plain weave textile composites. Computational Materials Science, 2011, 50(5): 1770-1780.[17] Li S, Zou Z. The use of central reflection in the formulation of unit cells for micromechanical FEA. Mechanics of Materials, 2011, 43(12): 824-834.[18] Carvalho N, Pinho S, Robinson P. Reducing the domain in the mechanical analysis of periodic structures, with application to woven composites. Composites Science and Technology, 2011, 71(7): 969-979.[19] Jarvis A S. Meso-scale and multicontinuum modeling of a triaxial braided textile composites. Laramie: University of Wyoming, 2009.[20] Suquet P. Elements of homogenization theory for inelastic solid mechanics. Sanchez-Palencia E, Zaoui A. Homogenization techniques for composite media. Berlin: Springer-Verlag, 1987.[21] Xia Z H, Zhou C W, Yong Q L, et al. On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites. International Journal of Solids and Structures, 2006, 43(2): 266-278.[22] Xu K, Xu X W. Prediction of elastic constants and simulation of stress field of 3D braided composites based on the finite element method. Acta Materiae Compositae Sinica, 2007, 24(3): 178-185. (in Chinese) 徐焜, 许希武. 三维编织复合材料弹性性能数值预测及细观应力分析. 复合材料学报, 2007, 24(3): 178-185. |