ACTA AERONAUTICAET ASTRONAUTICA SINICA >
General Periodic Boundary Conditions and Their Application to Micromechanical Finite Element Analysis of Textile Composites
Received date: 2012-08-27
Revised date: 2012-12-03
Online published: 2012-12-11
Supported by
National Natural Science Foundation of China (11272146)
In order to resolve the conflict between the quick mesh generation of a unit-cell and the successful application of the periodic boundary conditions, a more general method is developed in the micromechanical finite element analysis of textile composites with an aperiodic mesh. The application of the general periodic boundary conditions is realized by enforcing multi-point constraints (MPC) on the corresponding nodes on paired faces, edges and corners of the unit-cell on the platform of ABAQUS software. The deformation, stress distribution and the predicted mechanical properties of 3D four-directional braided composites are compared between the unit-cell models with periodic and aperiodic mesh, thus verifying the validity and applicability of the proposed boundary conditions. The results show that the general periodic boundary conditions can achieve the free meshing of unit-cells with complicated microstructures, reduce the difficulty of meshing and improve the quality of mesh generation.
ZHANG Chao , XU Xiwu , YAN Xue . General Periodic Boundary Conditions and Their Application to Micromechanical Finite Element Analysis of Textile Composites[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013 , 34(7) : 1636 -1645 . DOI: 10.7527/S1000-6893.2013.0281
[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.
/
〈 | 〉 |