A novel approach to analyze kink banding failure in fiber reinforced composites is presented in this paper. By considering a single fiber–matrix unit cell and utilizing a fiber deformation representation that can simultaneously account for instability due to increasing fiber amplitude and fiber rotation, a sequence of events that lead to the formation of a kink band is elucidated. It is shown that peak compressive strength does not necessarily correspond to the onset of yielding (non-linearity) in the matrix and is dictated by the interaction between matrix non-linearity and initial fiber misalignment. Predictions of compressive strength and kink band formation, utilizing the new model, are found to be in good agreement with reported experimental data and associated higher-order finite element analysis.
PrabhakarPWaasAM. Interaction between kinking and splitting in the compressive failure of unidirectional fiber reinforced laminated composites. Compos Struct2013; 98: 85–92.
2.
AllixOFeldNBarangerE. The compressive behaviour of composites including fiber kinking: Modelling across the scales. Mecc2014; 49(11):2571-2586.
3.
SchultheiszCRWaasAM. Compressive failure of composites, part I: Testing and micromechanical theories. Prog Aerosp Sci1996; 32(1): 1–42.
4.
SchultheiszCRWaasAM. Compressive failure of composites, part II: Experimental studies. Prog Aerosp Sci1996; 32(1): 43–78.
5.
RosenVW. Mechanics of composite strengthening. In: Fibre Composite Materials. Metals Park, OH: American Society of Materials, 1965.
6.
ArgonAS. Fracture of composites (Treatise on Materials Science and Technology). New York, NY: Academic Press, 1972.
BudianskyBFleckNAAmazigoJC. On kink-band propagation in fiber composites. J Mech Phys Solids1998; 46(9): 1637–1653.
9.
FleckNADengLBudianskyB. Prediction of kink width in compressed fiber composites. J Appl Mech1995; 62: 329–337.
10.
ZidekRAEVollmeckeC. On the influence of material non-linearities in geometric modeling of kink band instabilities in unidirectional fiber composites. Int J Non-Lin Mech2014; 62: 23–32.
11.
HahnHTWilliamsJG. Compression failure mechanisms in unidirectional composites. In: Composite Materials: Testing and Design (Seventh Conference), 1986, 115–139.
12.
KyriakidesSArseculeratneRPerryE. On the compressive failure of fiber reinforced composites. Int J Solids Struct1995; 32(6): 689–738.
13.
LeeSHWaasA. Compressive response and failure of fiber reinforced unidirectional composites. Int J Fract1999; 100: 275–306.
14.
ChungIWeitsmanY. A mechanics model for the compressive response of fiber reinforced composites. Int J Solids Struct1994; 31(18): 2519–2536.
15.
De MoraisABMarquesAT. A micromechanical model for the prediction of the lamina longitudinal compression strength of composite laminates. J Compos Mater1997; 31(14): 1397–1412.
16.
SunCWanki JunA. Compressive strength of unidirectional fiber composites with matrix non-linearity. Compos Sci Tech1994; 52(4): 577–587.
17.
PimentaSGutkinRPinhoST. A micromechanical model for kink-band formation, part II: Analytical modelling. Compos Sci Tech2009; 69(7–8): 956–964.
18.
PimentaSGutkinRPinhoST. A micromechanical model for kink-band formation, part I: Experimental study and numerical modelling. Compos Sci Tech2009; 69(7–8): 948–955.
19.
WadeeMAVöllmeckeCHaleyJF. Geometric modelling of kink banding in laminated structures. Philos Trans R Soc A: Math Phys Eng Sci2012; 370(1965): 1827–1849.
20.
WaasAMBabcockCDKnaussWG. An experimental study of compression failure of fibrous laminates in the presence of stress gradients. Int J Solids Struct1990; 26: 1071–1098.
21.
TomblinJSBarberoEJGodoyLA. Imperfection sensitivity of fiber microbuckling in elastic-nonlinear polymer-matrix composites. Int J Solids Struct1997; 34(13): 1667–1679.
22.
YerramalliCSWaasAM. In situ matrix shear response using torsional test data of fiber reinforced unidirectional polymer composites. J Eng Mater Tech2002; 124(2): 152–159.
23.
BrushDOAlmrothBO. Buckling of bars, plates, and shells. International student edn. New York, NY: McGraw-Hill, 1975.
24.
BažantZPCedolinL. Stability of structures. Singapore: World Scientific Ltd, 2010.
25.
NgWHSalviAGWaasAM. Characterization of the in-situ non-linear shear response of laminated fiber-reinforced composites. Compos Sci Tech2010; 70(7): 1126–1134.
