A numerical simulation is established to model low-speed impact damage of composite plates. A combination of the Hashin, and Puck failure criteria along with fracture mechanics are used in a quasi-static finite element model where material properties in affected elements are updated in accordance with the type of failure predicted by the failure criteria. Subsequently, a progressive failure approach is used to predict compression after impact by incrementally loading the plate under compression and tracking how the existing damage evolves until final collapse of the panel. Comparisons with test results and semi-analytical solutions show good agreement but also suggest additional improvements are needed for certain laminates. A strong dependence of damage size on boundary conditions and spacing of grid-type stiffeners was also found.
DobynsAL. Analysis of simply supported plates subjected to static and dynamic loads. AIAA J1980; 19: 642–650.
2.
DobynsALPorterT. A study of the structural integrity of graphite composite structure subjected to low velocity impact. Polym Eng Sci1981; 21: 493–498.
3.
CairnsDSLagacéPAResidual tensile strength of graphite/epoxy and kevlar/epoxy laminates with impact damage. In: GarboSP (ed). Composite materials testing and design, Philadelphia, PA: ASTM, 1990, pp. 48–63.
ChristoforouAPYigitAS. Transient response of a composite beam subjected to elasto-plastic impact. Compos Eng1995; 5: 459–470.
6.
Yang SH and Sun CT. Indentation law for composite laminates. In: Daniel IM (ed.) 6th Conference on composite materials testing and design, ASTM STP 787, American Society for Testing and Materials, 1982, pp.425–449.
7.
KassapoglouCJonasPJAbbottR. Compressive strength of composite sandwich panels after impact damage: An experimental and analytical study. J Compos Technol Res1988; 10: 65–73.
8.
OlssonR. Impact response of orthotropic composite plates predicted from a one-parameter differential equation. AIAA J1992; 30: 1587–1596.
9.
WilliamsKVVazziriR. Application of damage mechanics model for predicting the impact response of composite materials. Comput Struct2001; 79: 997–1011.
10.
DonadonMVIannucciLFalzonBG. A progressive failure model for composite laminates subjected to low velocity impact damage. Comput Struct2008; 86: 1232–1252.
11.
CollombetFBoniniJLatailladeJL. A three dimensional modelling of low velocity impact damage in composite laminates. Int J Numer Meth Eng1996; 39: 1491–1516.
12.
ZhangXBianchiFLiuH. Predicting low-velocity impact damage in composites by a quasi-static load model with cohesive interface elements. Aeronaut J2012; 116: 1367–1381.
13.
AymerichFDoreFPrioloP. Prediction of impact-induced delamination in cross-ply composite laminates using cohesive interface elements. Compos Sci Technol2008; 68: 2383–2390.
14.
BorgRNilssonLSimonssonK. Simulation of low velocity impact on fibre laminates using a cohesive zone delamination model. Compos Sci Technol2004; 64: 279–288.
15.
AymerichFDoreGPrioloP. Simulation of multiple delaminations in impacted cross-ply laminates using a finite element model based on cohesive interface elements. Compos Sci Technol2009; 69: 1699–1709.
16.
Lopes C. Damage and failure of composite laminates. PhD Thesis, Delft University of Technology, Netherlands, 2009.
17.
Altenbach H and Sadowski T. Failure and damage analysis of advanced materials. Udine, Italy: CISM International Centre for Mechanical Sciences, 2015, pp.191–254.
18.
MatzenmillerALublinerJTaylorRL. A constitutive model for anisotropic damage in fiber-composites. Mech Mater1995; 20: 125–152.
19.
MaioLMonacoERicciF. Simulation of low velocity impact on composite laminates with progressive failure analysis. Compos Struct2013; 103: 75–85.
PuckA. Festigkeitsanalyse von faser-matrix-laminaten, Munchen Wien: Cal Hanser Verslag, 1996.
22.
WiegandJPetrinicNElliottB. An algorithm for determination of the fracture angle for the three-dimensional Puck matrix failure criterion for UD composites. Compos Sci Technol2008; 68: 2511–2517.
23.
LeeJD. Three dimensional finite element analysis of damage accumulation in composite laminate. Compos Struct1982; 15: 335–350.
24.
HwangWCSunCT. Failure analysis of laminated composite by using iterative three-dimensional finite element method. Compos Struct1989; 33: 41–47.
25.
GarnichMRAkulaVMK. Review of degradation models for progressive failure analysis of fiber reinforced polymer composites. ASME Appl Mech Rev2009; 62: 1–33.
26.
ChangF-KChangK-Y. Progressive damage model for laminated composites containing stress concentrations. J Compos Mater1987; 21: 834–855.
GünelMKayranA. Non-linear progressive failure analysis of open-hole composite laminates under combined loading. J Sandwich Struct Mater2013; 15: 309–339.
29.
Dost EF, Ilcewicz LB, Avery WB, et al. Effect of stacking sequence on impact damage resistance and residual strength for quasi-isotropic laminates. ASTM STP 1110, 1991, pp.476–500.
30.
EsrailFKassapoglouC. An efficient approach for damage quantification in quasi-isotropic composite laminates under low speed impact. Compos Part B: Eng2014; 61: 116–126.
31.
EsrailFKassapoglouC. An efficient approach to determine compression after impact strength of quasi-isotropic composite laminates. Compos Sci Technol2014; 98: 28–35.
32.
ShroffSKassapoglouC. Designing highly loaded connections in a composite fuselage. J Aircraft2014; 51: 833–840.
