Traditional representative volume element (RVE) model composed of impregnated yarns and surrounding matrix for the 3D four-directional braided composites, requires periodic mesh in order to impose periodic boundary condition, which is quite challenging and time-consuming due to complex internal mesoscopic architecture. In this regard, this study presents a novel approach to establish a parametric RVE model comprised of dry fibers and matrix through integrating Matlab with Abaqus. The technique is able to produce RVE models of arbitrary braiding angle, fiber volume fraction, etc. by simply changing the input values for the Matlab procedure. Based on this, finite element analysis is performed on the proposed model to predict tensile modulus of the 3D four-directional braided composites and examine the influence of mesoscopic geometry and material parameters. Numerical application demonstrates that this technique has good prediction accuracy for the small braiding angle case while great deviation for the big braiding angle case. In the end, the technique’s advantages and disadvantages over the traditional RVE model, and its potential applications are discussed.
MaC-LYangJ-MChouT-W. Elastic stiffness of three-dimensional braided textile structural composites, Philadelphia: ASTM Spec. Tech. Publ., 1986, pp. 404–21.
3.
ShokriehMMMazloomiMS. A new analytical model for calculation of stiffness of three-dimensional four-directional braided composites. Compos Struct2012; 94: 1005–1015.
4.
YanSJiangLLiD. Experimental investigation of tensile damage mechanisms on 3-D braided composites with AE. Appl Mech Mater2013; 345: 290–293.
5.
PeiXLiJChenKet al.Vibration modal analysis of three-dimensional and four directional braided composites. Compos Part B Eng2015; 69: 212–221.
6.
GouJ-JFangW-ZDaiY-Jet al.Multi-size unit cells to predict effective thermal conductivities of 3D four-directional braided composites. Compos Struct2017; 163: 152–167.
7.
LiX-KLiuZ-GHuLet al.Numerical investigation of T-joints with 3D four directional braided composite fillers under tensile loading. Appl Compos Mater2017; 24: 171–191.
8.
ZhaiJChengSZengTet al.Extended multiscale FE approach for steady-state heat conduction analysis of 3D braided composites. Compos Sci Technol2017; 151: 317–324.
9.
WangHCaoMSiddiqueAet al.Numerical analysis of thermal expansion behaviors and interfacial thermal stress of 3D braided composite materials. Comput Mater Sci2017; 138: 77–91.
10.
GodaIGanghofferJF. Construction of first and second order grade anisotropic continuum media for 3D porous and textile composite structures. Compos Struct2016; 141: 292–327.
11.
Wang R, Zhang L, Hu D, et al. Mesoscopic modeling of 3D four-directional braided composites. In: Proceedings of the ASME Turbo Exposition, Seoul, South Korea, 12–18 June 2016.
12.
Chen L, Tao XM and Choy CL. On the microstructure of three-dimensional braided preforms. Compos Sci Technol 1999; 59: 391–404, http://hdl.handle.net/10397/20023.
13.
LomovSVIvanovDSTruongTCet al.Experimental methodology of study of damage initiation and development in textile composites in uniaxial tensile test. Compos Sci Technol2008; 68: 2340–2349.
14.
ZhangM-ZLiH-J. Automatically generated geometric description of 3D braided rectangle preform. Comput Mater Sci2007; 39: 836–841.
15.
SunBLiuRGuB. Numerical simulation of three-point bending fatigue of four-step 3-D braided rectangular composite under different stress levels from unit-cell approach. Comput Mater Sci2012; 65: 239–246.
16.
KoohborBRavindranSKidaneA. Experimental determination of Representative Volume Element (RVE) size in woven composites. Opt Lasers Eng2017; 90: 59–71.
17.
WangRZhangLHuDet al.A novel approach to impose periodic boundary condition on braided composite RVE model based on RPIM. Compos Struct2017; 5: 77–88.
18.
Lin H, Sherburn M, Long AC, et al. Modelling and simulations of fabrics using TexGen. In: Proceedings of Fiber Society 2009 Spring conference, Shanghai, China, 27–29 May 2009, pp.773–774.
19.
VerpoestILomovSV. Virtual textile composites software WiseTex: Integration with micro-mechanical, permeability and structural analysis. Compos Sci Technol2005; 65: 2563–274.
20.
WangRZhangLHuDet al.Evaluation of three unit cell models in predicting mechanical behaviour of 3D four-directional braided composites. J Compos Mater2017; 51: 3757–3767.
21.
WenPHAliabadiMH. Damage mechanics analysis of plain woven fabric composite micromechanical model for mesh-free simulations. J Compos Mater2012; 46: 2239–2253.
22.
LiLYWenPHAliabadiMH. Meshfree modeling and homogenization of 3D orthogonal woven composites. Compos Sci Technol2011; 71: 1777–1188.
23.
LiuX. A monolithic Lagrangian meshfree method for fluid-structure interaction, Cleveland, OH: Case Western Reserve University, 2016.
24.
DongJHuoN. A two-scale method for predicting the mechanical properties of 3D braided composites with internal defects. Compos Struct2016; 152: 1–10.
25.
WangYBLiuZGLiuNet al.A new geometric modelling approach for 3D braided tubular composites base on free form deformation. Compos Struct2016; 136: 75–85.
26.
Shen X, Gong L. Numerical modeling of braided composites using energy method. In: Proceedings of the ASME 2014 International Mechanical Engineering Congress and Exposition, Montreal, 14–20 November 2014.
27.
TabatabaeiSALomovSVVerpoestI. Assessment of embedded element technique in meso-FE modelling of fibre reinforced composites. Compos Struct2014; 107: 436–446.
28.
OvesyHRKharaziM. Compressional stability behavior of composite plates with through-the-width and embedded delaminations by using first order shear deformation theory. Comput Struct2011; 89: 1829–1839.
29.
Systems D. ABAQUS documentation 6.13. SIMULIA; 2013.
30.
XiaZZhangYEllyinF. A unified periodical boundary conditions for representative volume elements of composites and applications. Int J Solids Struct2003; 40: 1907–1921.
XiuYS. Numerical analysis of mechanical properties of 3D four-step braided composites, Tianjin, China: Tianjin Polytechnic University, 2001.
33.
LiDFangDLuZet al.Finite element analysis of mechanical properties of 3D four-directional rectangular braided composites—Part 2: Validation of the 3D finite element model. Appl Compos Mater2010; 17: 389–404.
34.
KhaliliAJhaRSamaratungaD. The wavelet spectral finite element-based user-defined element in Abaqus for wave propagation in one-dimensional composite structures. Simulation2017; 93: 397–408.
35.
JuJWuY. Stochastic micromechanical damage modeling of progressive fiber breakage for longitudinal fiber-reinforced composites. Int J Damage Mech2016; 25: 203–227.
36.
LiuPFZhengJY. A Monte Carlo finite element simulation of damage and failure in SiC/Ti-Al composites. Mater Sci Eng A2006; 425: 260–267.
37.
BednarcykBArnoldS. A framework for performing multiscale stochastic progressive failure analysis of composite structures. In: ABAQUS Users' Conference, Cambridge, USA, 2006, pp. 63–79.
38.
Rajendran H, Mohite PKM and Upadhyay C. Statistical strength determination of carbon fibres using a generalized Weibull model. In: 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Kissimmee, Florida, 5–9 January 2015, pp.1–7.
39.
ThomasonJL. On the application of Weibull analysis to experimentally determined single fibre strength distributions. Compos Sci Technol2013; 77: 74–80.
40.
WangFShaoJ. Modified Weibull distribution for analyzing the tensile strength of bamboo fibers. Polymers (Basel)2014; 6: 3005–3018.
41.
MorscherGNSinghMKiserJDet al.Modeling stress-dependent matrix cracking and stress-strain behavior in 2D woven SiC fiber reinforced CVI SiC composites. Compos Sci Technol2007; 67: 1009–1017.
42.
LongbiaoL. Fatigue life prediction of carbon fiber-reinforced ceramic-matrix composites at room and elevated temperatures. Part I: Experimental analysis. Appl Compos Mater2016; 23: 101–117.
43.
CoxBNBaleHABegleyMet al.Stochastic virtual tests for high-temperature ceramic matrix composites. Annu Rev Mater Res2014; 44: 479–529.
44.
FangGDLiangJ. A review of numerical modeling of three-dimensional braided textile composites. J Compos Mater2011; 45: 2415–2436.
45.
MishnaevskyLBrøndstedP. Micromechanical modeling of damage and fracture of unidirectional fiber reinforced composites: a review. Comput Mater Sci2009; 44: 1351–1359.
46.
FangGDLiangJWangYBet al.The effect of yarn distortion on the mechanical properties of 3D four-directional braided composites. Compos Part A Appl Sci Manuf2009; 40: 343–350.
