This paper reports the low-cyclic tensile responses of three-dimensional orthogonal woven composites based on the micro/meso-scale repetitive unit cells with elastic/viscoelastic models. The repetitive unit cell models for the resin impregnated fiber tows and the three-dimensional orthogonal woven composites at the fabric microstructure level were established. In the micro/meso-repetitive unit cells model, a nonlinear viscoelastic relationship with switch rule is introduced to characterize the mechanical behavior of the resin for the loading/unloading conditions. The fiber/fiber tows are characterized with linear elastic models. And damage initiation and postdamage constitutive models are also included for matrix/fiber and matrix impregnated fiber tows in the finite element analysis. The fatigue model with the mechanical parameters transferred from micro-scale to meso-scale model is numerically simulated with user-defined material subroutine and incorporated into commercial finite element software ABAQUS/Standard. The calculated results manifest the multiscale fatigue behaviors of three-dimensional orthogonal woven composites, such as the global stiffness degradation, decrease of peak stress, and even local damage behavior. The fatigue behaviors are also verified with the data in experimental and indicated that the model is an efficient strategy to predict the low-cyclic fatigue behaviors of polymer matrix composites.
AnsarMWangXZhouC (2011) Modeling strategies of 3D woven composites: A review. Composite Structures93: 1947–1963.
2.
BaucomJNZikryMA (2003) Evolution of failure mechanisms in 2D and 3D woven composite systems under quasi-static perforation. Journal of Composite Materials37: 1651–1674.
3.
BelarbiABouiadjraBBBelhouariM (2012) Node-failure technique-based representative unit-cell lifetime-dependent ductile damage model between elastoviscoplastic matrix and rigid fiber. International Journal of Damage Mechanics21: 943–959.
4.
BilisikK (2010) Multiaxis 3D woven preform and properties of multiaxis 3D woven and 3D orthogonal woven carbon/epoxy composites. Journal of Reinforced Plastics and Composites29: 1173–1186.
5.
BogdanovichAE (2006) Multi-scale modeling, stress and failure analyses of 3-D woven composites. Journal of Materials Science41: 6547–6590.
6.
Bogdanovich AE (2009) Progressive failure modeling and strength predictions of 3D woven composites. 50th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference. Palm Springs, California, USA, 4–7 May 2009. AIAA2009-2658.
7.
CallusPJMouritzAPBannisterMK (1999) Tensile properties and failure mechanisms of 3D woven GRP composites. Composites Part A: Applied Science and Manufacturing30: 1277–1287.
8.
ChenXTaylorLWTsaiLJ (2011) An overview on fabrication of three-dimensional woven textile preforms for composites. Textile Research Journal81: 932–944.
9.
ChenXZaniniI (1997) An experimental investigation into the structure and mechanical properties of 3D woven orthogonal structures. Journal of the Textile Institute88: 449–464.
10.
ChouSChenHCChenHE (1992) Effect of weave structure on mechanical fracture behavior of 3-dimensional carbon-fiber fabric reinforced epoxy-resin composites. Composites Science and Technology45: 23–35.
11.
Chou TW (1992) Microstructural design of fiber composites. Cambridge, England: Cambridge University Press, pp. 374–442.
12.
DadkhahMSCoxBNMorrisWL (1995) Compression-compression fatigue of 3D woven composites. Acta Metallurgica Et Materialia43: 4235–4245.
13.
DingYQYanYMcIlhaggerR (1995) Comparison of the fatigue behaviour of 2-D and 3-D woven fabric reinforced composites. Journal of Materials Processing Technology55: 171–177.
14.
EndruweitALongAC (2010) Analysis of compressibility and permeability of selected 3D woven reinforcements. Journal of Composite Materials44: 2833–2862.
15.
Haj-AliRMMulianaAH (2004) A multi-scale constitutive formulation for the nonlinear viscoelastic analysis of laminated composite materials and structures. International Journal of Solids and Structures41: 3461–3490.
16.
HuYFXiaZHEllyinF (2003) Deformation behavior of an epoxy resin subject to multiaxial loadings. Part I: Experimental investigations. Polymer Engineering and Science43: 721–733.
17.
IvanovITabieiA (2001) Three-dimensional computational micro-mechanical model for woven fabric composites. Composite Structures54: 489–496.
18.
JiaXWXiaZHGuBH (2012) Micro/meso-scale damage analysis of three-dimensional orthogonal woven composites based on sub-repeating unit cells. Journal of Strain Analysis for Engineering Design47: 313–328.
19.
JiaXWXiaZHGuBH (2013a) Nonlinear viscoelastic multi-scale repetitive unit cell model of 3D woven composites with damage evolution. International Journal of Solids and Structures50: 3539–3554.
20.
JiaXWXiaZHGuBH (2013b) Numerical analyses of 3D orthogonal woven composite under three-point bending from multi-scale microstructure approach. Computational Materials Science79: 468–477.
21.
KarkkainenRLTzengJT (2009) Micromechanical strength modeling and investigation of stitch density effects on 3D orthogonal composites. Journal of Composite Materials43: 3125–3142.
22.
KimSJJiKHPaikSH (2008) Numerical simulation of mechanical behavior of composite structures by supercomputing technology. Advanced Composite Materials17: 373–407.
23.
KuoCM (2008) Elastic bending behavior of solid orthogonal woven 3-D carbon-carbon composite beams. Composites Science and Technology68: 666–672.
24.
KuoWSKoTHChenCP (2007) Effect of weaving processes on compressive behavior of 3D woven composites. Composites Part A: Applied Science and Manufacturing38: 555–565.
25.
KuoWSKoTHShiahYC (2006) Compressive damage in three-axis woven thermoplastic composites. Journal of Thermoplastic Composite Materials19: 357–373.
26.
LeeCSChungSWShinH (2005) Virtual material characterization of 3D orthogonal woven composite materials by large-scale computing. Journal of Composite Materials39: 851–863.
27.
LeeLRudov-ClarkSMouritzAP (2002) Effect of weaving damage on the tensile properties of three-dimensional woven composites. Composite Structures57: 405–413.
28.
LiLYWenPHAliabadiMH (2011) Meshfree modeling and homogenization of 3D orthogonal woven composites. Composites Science and Technology71: 1777–1788.
29.
MarcinLMaireJFCarréreN (2011) Development of a macroscopic damage model for woven ceramic matrix composites. International Journal of Damage Mechanics20: 939–957.
30.
MouritzAP (2008) Tensile fatigue properties of 3D composites with through-thickness reinforcement. Composites Science and Technology68: 2503–2510.
31.
OgasawaraTIshikawaTYokozekiT (2005) Effect of on-axis tensile loading on shear properties of an orthogonal 3D woven SiC/SiC composite. Composites Science and Technology65: 2541–2549.
32.
QuinnJPMellhaggerATMcIlhaggerR (2008) Examination of the failure of 3D woven composites. Composites Part A. Applied Science and Manufacturing39: 273–283.
33.
Rudov-ClarkSMouritzAP (2008) Tensile fatigue properties of a 3D orthogonal woven composite. Composites Part A. Applied Science and Manufacturing39: 1018–1024.
34.
Rudov-ClarkSMouritzABannisterM (2003) Fibre damage in the manufacture of advanced three-dimensional woven composites. Composites Part A: Applied Science and Manufacturing34: 963–970.
35.
ShenXHXiaZHEllyinF (2004) Cyclic deformation behavior of an epoxy polymer. Part I: Experimental investigation. Polymer Engineering and Science44: 2240–2246.
36.
SunCTVaidyaRS (1996) Prediction of composite properties, from a representative volume element. Composites Science and Technology56: 171–179.
37.
TanPTongLStevenGP (1998) Modeling approaches for 3D orthogonal woven composites. Journal of Reinforced Plastics and Composites17: 545–577.
38.
TanPTongLStevenGP (1999) Models for predicting thermomechanical properties of three-dimensional orthogonal woven composites. Journal of Reinforced Plastics and Composites18: 151–185.
39.
TanPTongLYStevenGP (2000) Behavior of 3D orthogonal woven CFRP composites. Part II. FEA and analytical modeling approaches. Composites Part A: Applied Science and Manufacturing31: 273–281.
40.
TanPTongLYStevenGP (2001) Mechanical behavior for 3-D orthogonal woven E-glass/epoxy composites. Journal of Reinforced Plastics and Composites20: 274–303.
41.
TongLYTanPStevenGP (2002) Effect of yarn waviness on strength of 3D orthogonal woven CFRP composite materials. Journal of Reinforced Plastics and Composites21: 153–173.
42.
WangXFWangXWZhouGM (2007) Multi-scale analyses of 3D woven composite based on periodicity boundary conditions. Journal of Composite Materials41: 1773–1788.
43.
XiaZHShenXGEllyinF (2005) Cyclic deformation behavior of an epoxy polymer. Part II: Predictions of viscoelastic constitutive models. Polymer Engineering and Science45: 103–113.
44.
XiaZHZhangYFEllyinF (2003) A unified periodical boundary conditions for representative volume elements of composites and applications. International Journal of Solids and Structures40: 1907–1921.
