In this paper, the shear nonlinearity and failure behavior of composite laminates were investigated with experimental and numerical method. A nonlinear shear model that includes progressive stiffness reduction and permanent shear strain was developed to characterize the nonlinear shear behavior. Strain-based failure criteria were combined with a set of stiffness degradation method to predict in-ply damage initiation and evolution of composite laminates. Delamination damage was simulated with cohesive zone model. The progressive damage model was implemented in commercial finite element software ABAQUS by a VUMAT subroutine. The capability of the proposed model was validated by predicting the tensile behavior of open-hole tensile specimen.
ChenBYTayTEBaizPM, et al.Numerical analysis of size effects on open-hole tensile composite laminates. Compos Part A Appl Sci Manuf2013; 47: 52–62.
2.
LiuPFZhengJY. Recent developments on damage modeling and finite element analysis for composite laminates: a review. Mater Des2010; 31: 3825–3834.
3.
BogenfeldRKreikemeierJWilleT. Review and benchmark study on the analysis of low-velocity impact on composite laminates. Eng Fail Anal2018; 86: 72–99.
4.
ZhangJQiDZhouL, et al.A progressive failure analysis model for composite structures in hygrothermal environments. Compos Struct2015; 133: 331–342.
5.
FarrokhabadiAHosseini-ToudeshkyHMohammadiB. Development of a damage analysis method in laminated composites using finite fracture toughness of single lamina. Mech Adv Mater Struc2013; 20: 177–188.
6.
BabaeiRFarrokhabadiA. A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross-ply composite laminates. Fatigue Fract Eng M2017; 40: 375–390.
7.
BabaeiRFarrokhabadiA. Predicting the debonding formation and induced matrix cracking evolution in open-hole composite laminates using a semi-consequence micro-macro model. Compos Struct2019; 210: 274–293.
8.
YangYLiuXWangY, et al.A progressive damage model for predicting damage evolution of laminated composites subjected to three-point bending. Compos Sci Technol2017; 151: 85–93.
9.
LiLJiaPPanW. Temperature effect on the tensile behaviors of carbon/polyimide composite laminate. Proc IMechE, Part C: J Mechanical Engineering Science2016; 231: 4592–4602.
10.
MaimíPCamanhoPPMayugoJA, et al.A continuum damage model for composite laminates: part I – constitutive model. Mech Mater2007; 39: 897–908.
11.
El-SisiAEDAEl-EmamHMSalimHA, et al.Efficient 3D modeling of damage in composite materials. J Compos Mater2015; 49: 817–828.
12.
van der MeerFPOliverCSluysLJ. Computational analysis of progressive failure in a notched laminate including shear nonlinearity and fiber failure. Compos Sci Technol2010; 70: 692–700.
13.
TanWFalzonBG. Modelling the nonlinear behaviour and fracture process of AS4/PEKK thermoplastic composite under shear loading. Compos Sci Technol2016; 126: 60–77.
14.
SunCTChenJL. A simple flow rule for characterizing nonlinear behavior of fiber composites. J Compos Mater1989; 23: 1009–1020.
15.
ChenJFMorozovEVShankarK. A combined elastoplastic damage model for progressive failure analysis of composite materials and structures. Compos Struct2012; 94: 3478–3489.
16.
XieJFangGChenZ, et al.An anisotropic elastoplastic damage constitutive model for 3D needled C/C-SiC composites. Compos Struct2017; 176: 164–177.
17.
RenRLeGZhongJ, et al.Numerical research on elasto-plastic behaviors of fiber-reinforced polymer based composite laminates. Compos Struct2019; 207: 364–372.
18.
McCarthyCTO HigginsRMFrizzellRM. A cubic spline implementation of non-linear shear behaviour in three-dimensional progressive damage models for composite laminates. Compos Struct2010; 92: 173–181.
NikbakhtMToudeshkyHHMohammadiB. Experimental validation of an empirical nonlinear shear failure model for laminated composite materials. J Compos Mater2017; 51: 2331–2345.
21.
FalzonBGApruzzeseP. Numerical analysis of intralaminar failure mechanisms in composite structures. Part I: FE implementation. Compos Struct2011; 93: 1039–1046.
22.
FengDAymerichF. Finite element modelling of damage induced by low-velocity impact on composite laminates. Compos Struct2014; 108: 161–171.
23.
LiuHFalzonBGTanW. Experimental and numerical studies on the impact response of damage-tolerant hybrid unidirectional/woven carbon-fibre reinforced composite laminates. Compos B Eng2018; 136: 101–118.
24.
LapczykIHurtadoJA. Progressive damage modeling in fiber-reinforced materials. Compos Part A Appl Sci Manuf2007; 38: 2333–2341.
25.
LiuPFLiaoBBJiaLY, et al.Finite element analysis of dynamic progressive failure of carbon fiber composite laminates under low velocity impact. Compos Struct2016; 149: 408–422.
26.
ChangFChangK. A progressive damage model for laminated composites containing stress concentrations. J Compos Mater1987; 21: 834–855.
27.
ASTM. Standard test method for in-plane shear response of polymer matrix composite materials by tensile test of a ±45 laminate. D3518/D3518M, 2001.
28.
LindePde BoerH. Modelling of inter-rivet buckling of hybrid composites. Compos Struct2006; 73: 221–228.
29.
BenzeggaghMLKenaneM. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Compos Sci Technol1996; 56: 439–449.
30.
TanWFalzonBGChiuLNS, et al.Predicting low velocity impact damage and compression-after-impact (CAI) behaviour of composite laminates. Compos Part A Appl Sci Manuf2015; 71: 212–226.
31.
HallettSRGreenBGJiangW, et al.The open hole tensile test: a challenge for virtual testing of composites. Int J Fracture2009; 158: 169–181.
32.
HallettSRGreenBGJiangW, et al.An experimental and numerical investigation into the damage mechanisms in notched composites. Compos Part A Appl Sci Manuf2009; 40: 613–624.
33.
XuXWisnomMRLiX, et al.A numerical investigation into size effects in centre-notched quasi-isotropic carbon/epoxy laminates. Compos Sci Technol2015; 111: 32–39.
34.
LiXHallettSRWisnomMR. A finite element based statistical model for progressive tensile fibre failure in composite laminates. Compos B Eng2013; 45: 433–439.
35.
ChenJMorozovEVShankarK. Simulating progressive failure of composite laminates including in-ply and delamination damage effects. Compos Part A Appl Sci Manuf2014; 61: 185–200.
36.
MoureMMSanchez-SaezSBarberoE, et al.Analysis of damage localization in composite laminates using a discrete damage model. Compos B Eng2014; 66: 224–232.
