A new micromechanical approach for predicting the compressive response of long fiber composites based on a periodic unit cell model with a centrally located imperfection is presented. A detailed comparative analysis between the proposed model and the existing models was performed at the macro and micro level. The results show that the periodic unit cell model with non-uniform fiber waviness is able to reproduce the mechanisms that govern the failure of fiber-reinforced polymers under compression and provide accurate characteristics of microbuckling.
MoranPMLiuXHShihCF. Kink band formation and band broadening in fiber composites under compressive loading. Acta Metall Mater1995; 43: 2943–2958.
3.
VoglerTJKyriakidesS. On the axial propagation of kink bands in fiber composites: part I experiments. Int J Solids Struct1999; 36: 557–574.
4.
GutkinRPinhoSTRobinsonP. On the transition from shear-driven fibre compressive failure to fibre kinking in notched CFRP laminates under longitudinal compression. Compos Sci Technol2010; 70: 1223–1231.
5.
KyriakidesSArseculeratneRPerryEJ. On the compressive failure of fiber reinforced composites. Int J Solids Struct1995; 32: 689–738.
VoglerTJHsuSYKyriakidesS. On the initiation and growth of kink bands in fiber composites: part II analysis. Int J Solids Struct2001; 38: 2653–2682.
8.
ByskovEChristoffersenJChristensenCD. Kink band formation in wood and fiber composites–morphology and analysis. Int J Solids Struct2002; 39: 3649–3673.
9.
PimentaSGutkinRPinhoST. A micromechanical model for kink-band formation: part I: experimental study and numerical modeling. Compos Sci Technol2009; 69: 948–955.
10.
PrabhakarPWaasAM. Interaction between kinking and splitting in the compressive failure of unidirectional fiber reinforced laminated composites. Compos Struct2013; 98: 85–92.
11.
GuynnEGOchoaOOBradleyWL. A parametric study of variables that affect fiber microbuckling initiation in composite laminates: part I analyses. J Comp Mater1992; 26: 1594–1611.
HsuSYVoglerTJKyriakidesS. On the axial propagation of kink bands in fiber composites: part II analysis. Int J Solids Struct1999; 36: 575–595.
14.
PansartSSinapiusMGabbertU. A comprehensive explanation of compression strength differences between various CFRP materials: micro-meso model, predictions, parameter studies. Compos Part A2009; 40: 376–387.
15.
GutkinRPinhoSTRobinsonP. Micro-mechanical modeling of shear-driven fibre compressive failure and of fibre kinking for failure envelope generation in CFRP laminates. Compos Sci Technol2010; 70: 1214–1222.
16.
FleckNAShuJY. Microbuckle initiation in fibre composites: a finite element study. J Mech Phys Solids1995; 43: 1887–1918.
17.
FleckNALiuDShuJY. Microbuckle initiation from a hole and from the free edge of a fibre composite. Int J Solids Struct2000; 37: 2757–2775.
18.
FleckNALiuD. Microbuckle initiation from a patch of large amplitude fibre waviness in a composite under compression and bending. Eur J Mech A2001; 20: 23–37.
19.
WaasAMBabockCDKnausWG. A mechanical model for elastic fiber microbuckling. ASME J Appl Mech1990; 57: 138–149.
20.
SutcliffeMPFYuwonoAH. Experimental study of microbuckle initiation in a model composite system. Scr Mater2001; 45: 831–837.
21.
YurgatisSW. Measurement of small angle misalignments in continuous fibre composites. Compos Sci Technol1987; 30: 279–293.
ANSYS, Inc. Theory reference for the mechanical APDL and mechanical applications, release 12.1, Canonsburg PA: ANSYS, Inc, 2009.
24.
DruckerDCPragerW. Soil mechanics and plastic analysis for limit design. Q Appl Math1952; 10: 157–165.
25.
KinlochAJYoungRJ. Fracture behavior of polymers, Netherlands: Elsevier, 1983.
26.
QuinsonRPerezJRinkM. Yield criteria for amorphous glassy polymers. J Mater Sci1997; 32: 1371–1379.
27.
SubramanyaHYViswanathSNarasimhanR. A three-dimensional numerical study of mode I crack tip fields in pressure sensitive plastic solids. Int J Solids Struct2007; 44: 1863–1879.
28.
CanalLPSeguradoJLLorcaJ. Failure surface of epoxy-modified fiber-reinforced composites under transverse tension and out-of-plane shear. Int J Solids Struct2009; 46: 2265–2274.
29.
GregoryJRSpearingSM. Nanoindentation of neat and in situ polymers in polymer–matrix composites. Compos Sci Technol2005; 65: 595–607.
30.
RiksE. An incremental approach to the solution of snapping and buckling problems. Int J Solids Struct1979; 15: 529–551.
