基于RVE方法的二维机织复合材料弹性性能预测
|
摘要
为了预测二维机织复合材料的弹性性能,基于代表性体积单元(RVE)方法,分别建立了二维机织复合材料的细观结构理论计算模型及有限元分析模型。考虑到经纬纤维束间的挤压变形及其交织点处的间隙厚度,引入变形因子k建立修正的二维机织复合材料的细观几何模型;基于修正的几何模型,给出两种模型下宏观弹性常数的计算方法。结果表明:采用理论计算模型、有限元分析模型计算出的宏观弹性常数与试验值的最大误差分别为3. 89%、9. 18%;证明了修正模型的合理性以及理论计算模型、有限元分析模型的正确性,为探究二维机织复合材料的细观力学性能奠定了基础。
In order to predict the elastic properties of 2D woven composites,based on the representative volume element( RVE) method,the mesostructured theoretical calculation model and the finite element analysis model of the 2D woven composites were established. Firstly,considering the extrusion deformation between the warp and weft fiber yarns and the gap thickness at the interlacing point,the deformation factor k is introduced to establish a modified mesoscopic geometric model of the two-dimensional woven composite material. Based on the corrected geometric model,the calculation method of macroscopic elastic constant under two models is given. The results show that the maximum errors of macroscopic elastic constants between experimental values and values calculated by the theoretical calculation model was 3. 89%,while the maximum errors of macroscopic elastic constants between experimental values and values calculated by finite element analysis model was 9. 18%,respectively. The rationality of the corrected model and the correctness of the theoretical calculation model and the finite element analysis model were proved,which laid the foundation for exploring the meso-mechanical properties of 2D woven composites.
In order to predict the elastic properties of 2D woven composites,based on the representative volume element( RVE) method,the mesostructured theoretical calculation model and the finite element analysis model of the 2D woven composites were established. Firstly,considering the extrusion deformation between the warp and weft fiber yarns and the gap thickness at the interlacing point,the deformation factor k is introduced to establish a modified mesoscopic geometric model of the two-dimensional woven composite material. Based on the corrected geometric model,the calculation method of macroscopic elastic constant under two models is given. The results show that the maximum errors of macroscopic elastic constants between experimental values and values calculated by the theoretical calculation model was 3. 89%,while the maximum errors of macroscopic elastic constants between experimental values and values calculated by finite element analysis model was 9. 18%,respectively. The rationality of the corrected model and the correctness of the theoretical calculation model and the finite element analysis model were proved,which laid the foundation for exploring the meso-mechanical properties of 2D woven composites.
引文
[1]陶肖明,冼杏娟,高冠勋.纺织结构复合材料[M].北京:科学出版社,2001:5-7.
[2]Koohbor B,Ravindran S,Kidane A.Experimental determination of Representative Volume Element(RVE)size in woven composites[J].Optics and Lasers in Engineering,2017,90:59-71.
[3]Wang L,Wu J Y.Progressive failure analysis of 2D woven composites at the meso-micro scale[J].Composite Structures,2017,178:395-405.
[4]Byun J H.The analytical characterization of 2 D braided textile composites[J].Composites Science and Technology,2000,60(5):705-716.
[5]Ishikawa T,Chou T W.Stiffness and strength behaviour of woven fabric composites[J].Journal of Materials Science,1982,17(11):3211-3220.
[6]Donadon M V,Falzon B G,Lannucci I,et al.A 3-D micromechanicalmodel for predicting the elastic behaviour of woven laminates[J].Composites Science and Technology,2007,67:2467-2477.
[7]许英杰,张卫红.多元多层平纹机织CMC-SiC弹性常数的多尺度均匀化高效预测方法[J].材料科学与工程学报,2008,26(4):526-529.
[8]李明,陈秀华.二维平纹机织复合材料弹性性能预测的域分解方法[J].复合材料学报,2012,29(6):197-205.
[9]陈继刚,薛亚红,闫世程.二维机织复合材料弹性常数的有限元法预测[J].复合材料学报,2016,33(8):1702-1709.
[10]薛亚红,陈继刚.二维机织复合材料力学分析中的周期性边界条件研究[J].纺织学报,2016,37(9):70-77.
[11]李如琰.聚四氟乙烯纤维织物在关节轴承上的应用[J].功能材料,2004,35(增刊):2221-2223.
[12]Peirce F T.The geometry of cloth structure[J].Journal of Textile Institute,1937(3):45-47.
[13]张佳丽.自润滑关节轴承织物衬垫拉压性能数值模拟与实验研究[D].秦皇岛:燕山大学,2014.
[14]Chamis C C.Mechanics of composites materials:Past,present and future[J].Journal of Composites Technology and Research,1989,11(1):3-14.
[15]张超,许希武,严雪.纺织复合材料细观力学分析的一般性周期性边界条件及其有限元实现[J].航空学报,2013,34(7):1636-1645.
[16]Li S G.Boundary conditions for unit cells from periodic microstructures and their implications[J].Composites Science and Technology,2008,68(9):1962-1974.
[17]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.
[18]Li S,Zhou C,Yu H,et al.Formulation of a unit cell of areduced size for plain weave textile composites[J].Computational Materials Science,2011,50(5):1770-1780.
[19]Shen X,Gao P,Liu Z,et al.Elastic properties of the fabric liner and their influence on the wear depth of the spherical plain bearing[J].Journal of Nanomaterials,2014,2014(1):1-7.
[2]Koohbor B,Ravindran S,Kidane A.Experimental determination of Representative Volume Element(RVE)size in woven composites[J].Optics and Lasers in Engineering,2017,90:59-71.
[3]Wang L,Wu J Y.Progressive failure analysis of 2D woven composites at the meso-micro scale[J].Composite Structures,2017,178:395-405.
[4]Byun J H.The analytical characterization of 2 D braided textile composites[J].Composites Science and Technology,2000,60(5):705-716.
[5]Ishikawa T,Chou T W.Stiffness and strength behaviour of woven fabric composites[J].Journal of Materials Science,1982,17(11):3211-3220.
[6]Donadon M V,Falzon B G,Lannucci I,et al.A 3-D micromechanicalmodel for predicting the elastic behaviour of woven laminates[J].Composites Science and Technology,2007,67:2467-2477.
[7]许英杰,张卫红.多元多层平纹机织CMC-SiC弹性常数的多尺度均匀化高效预测方法[J].材料科学与工程学报,2008,26(4):526-529.
[8]李明,陈秀华.二维平纹机织复合材料弹性性能预测的域分解方法[J].复合材料学报,2012,29(6):197-205.
[9]陈继刚,薛亚红,闫世程.二维机织复合材料弹性常数的有限元法预测[J].复合材料学报,2016,33(8):1702-1709.
[10]薛亚红,陈继刚.二维机织复合材料力学分析中的周期性边界条件研究[J].纺织学报,2016,37(9):70-77.
[11]李如琰.聚四氟乙烯纤维织物在关节轴承上的应用[J].功能材料,2004,35(增刊):2221-2223.
[12]Peirce F T.The geometry of cloth structure[J].Journal of Textile Institute,1937(3):45-47.
[13]张佳丽.自润滑关节轴承织物衬垫拉压性能数值模拟与实验研究[D].秦皇岛:燕山大学,2014.
[14]Chamis C C.Mechanics of composites materials:Past,present and future[J].Journal of Composites Technology and Research,1989,11(1):3-14.
[15]张超,许希武,严雪.纺织复合材料细观力学分析的一般性周期性边界条件及其有限元实现[J].航空学报,2013,34(7):1636-1645.
[16]Li S G.Boundary conditions for unit cells from periodic microstructures and their implications[J].Composites Science and Technology,2008,68(9):1962-1974.
[17]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.
[18]Li S,Zhou C,Yu H,et al.Formulation of a unit cell of areduced size for plain weave textile composites[J].Computational Materials Science,2011,50(5):1770-1780.
[19]Shen X,Gao P,Liu Z,et al.Elastic properties of the fabric liner and their influence on the wear depth of the spherical plain bearing[J].Journal of Nanomaterials,2014,2014(1):1-7.