Finite Element Analysis of Low Velocity Impact on Carbon Fibers/Carbon Nanotubes Reinforced Polymer Composites

Document Type: Research Paper

Author

Department of Mechanical Engineering, Faculty of Engineering, University of Maragheh, Maragheh, Iran.

Abstract

An effort is made to gain insight on the effect of carbon nanotubes (CNTs) on the impact response of carbon fiber reinforced composites (CFRs) under low velocity impact. Certain amount of CNTs could lead improvements in mechanical properties of composites. In the present investigation, ABAQUS/Explicit finite element code (FEM) is employed to investigate various damages modes of nano composites including matrix cracking, fiber damage and delamination by employing Hashin’s criterion and cohesive zone modeling. The obtained results for 0, 0.5, 1, 2 and 4% CNTs demonstrate that by including CNTs in composite plates, damage could be reduced. However, adding further CNTs causes sudden reduction of impact tolerance capability of the composite plates, particularly, damage due to delamination.

Keywords

Main Subjects

[1] Pavlovic, A., Fragassa, C., Disic, A., Comparative numerical and experimental study of projectile impact on reinforced concrete, Composites Part B: Engineering, 108, 2017, 122-130.

[2] Pavlovic, A., Fragassa, C., Numerical modelling of ballistic impacts on flexible protection curtains used as safety protection in woodworking, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231(1), 2017, 44-58.

[3] Yao, S.S., Jin, F.L., Rhee, K.Y., Hui, D., Park, S.J., Recent advances in carbon-fiber-reinforced thermoplastic composites: A review, Composites Part B: Engineering, 142, 2018, 241-250.

[4] Elanchezhian, C., Ramnath, B.V., Hemalatha, J., Mechanical Behaviour of Glass and Carbon Fibre Reinforced Composites at Varying Strain Rates and Temperatures, Procedia Materials Science, 6, 2014, 1405-1418.

[5] Pashmforoush, F., Statistical analysis on free vibration behavior of functionally graded nanocomposite plates reinforced by graphene platelets, Composite Structures, 213, 2019, 14-24.

[6] Qiang, L., Larissa, G., Stepan, V.L., A combined use of embedded and cohesive elements to model damage development in fibrous composites, Composite Structures, 223, 2019, 110921.

[7] Fei, X., Arthur, J., Shuguang, L., A continuum damage model for transverse cracking in UD composites of linear viscoelastic behaviour, Composite Structures, 225, 2019, 110812.

[8] Pashmforoush, F., Fotouhi, M., Sarhan, A.A.D., Experimental–numerical study on minimizing impact induced damage in laminated composites under low-velocity impact, Journal of Reinforced Plastics and Composites 37(3), 2017, 155-165.

[9] Shah, S.Z.H., Karuppanan, S., Megat-Yusoff, P.S.M., Sajid, Z., Impact resistance and damage tolerance of fiber reinforced composites: A review. Composite Structures, 217(3), 2019, 100-121.

[10] Tuo, H., Lu, Z., Ma, X., Zhang, C., Chen, S., An experimental and numerical investigation on low-velocity impact damage and compression-after-impact behavior of composite laminates, Composites Part B: Engineering, 167, 2019, 329-341.

[11] Tuo, H., Lu, Z., Ma, X., Xing, J., Zhang C., Damage and failure mechanism of thin composite laminates under low-velocity impact and compression-after-impact loading conditions, Composites Part B: Engineering, 163, 2019, 642-654.

[12] Ren, R., Zhong, J., Le, G., Ma, D., Research on intralaminar load reversal damage modeling for predicting composite laminates’ low velocity impact responses. Composite Structures, 220, 2019, 481-493.

[13] Wang, J., Fang, Z., Gu, A., Xu, L., Liu, F., Effect of amino-functionalization of multiwalled carbon nanotubes on the dispersion with epoxy resin matrix, Journal of Applied Polymer Science, 100(1), 2006, 97–104.

[14] Singh, H., Mahajan, P., Modeling damage induced plasticity for low velocity impact simulation of three dimensional fiber reinforced composite, Composite Structures, 131, 2015, 290–303.

[15] Riccio, A., De Luca, A., Di Felice, G., Caputo, F., Modelling the simulation of impact induced damage onset and evolution in composites, Composites Part B, 66, 2014, 340–347.

[16] Donadon, M.V., Iannucci, L., Falzon, B.G., Hodgkinson, J.M., Almeida, S.F.M., A progressive failure model for composite laminates subjected to low velocity impact damage, Composite Structures, 86, 2008, 1232–52.

[17] Faggiani, A., Falzon, B.G., Predicting low-velocity impact damage on a stiffened composite panel, Composites Part A, 41, 2010, 737–49.

[18] Iannucci L, Ankersen J., An energy based damage model for thin laminated composites, Composite Science and Technology, 66, 2006, 934–51.

[19] Yokoyama, N.O., Donadon, M.V., Almeida, S.F.M., A numerical study on the impact resistance of composite shells using an energy based failure model, Composite Structures, 93, 2010, 142–52.

[20] Shi, Y., Swait, T., Soutis, C., Modelling damage evolution in composite laminates subjected to low velocity impact, Composite Structures, 94, 2012, 2902–2913.

[21] Wan, Y., Diao, C., Yang, B., Zhang, L., Chen, S., GF/epoxy laminates embedded with wire nets: A way to improve the low-velocity impact resistance and energy absorption ability, Composite Structures, 202, 2018, 818-835.
[22] Qian, Q., Xie, D., Analysis of mixed-mode dynamic crack propagation by interface element based on virtual crack closure technique, Engineering Fracture Mechanics, 74, 2007, 807-814.
[23] He, W., Liu, J., Tao, B., Xie, D., Liu, J., Zhang, M., Experimental and numerical research on the low velocity impact behavior of hybrid corrugated core sandwich structures, Composite Structures, 158, 2016, 30-43.
[24] Tarfaoui, M., Moumen, A., Lafdi, K., Progressive damage modeling in carbon fibers/carbon nanotubes reinforced polymer composites, Composites Part B: Engineering, 112, 2017, 185-195.
[25] Matzenmiller, A., Lubliner, J., Taylor, R.L., A constitutive model for anisotropic damage in fiber-composites, Mechanics of Materials, 20, 1995, 125-52.

[26] Song, Y.S., Youn, J.R. Influence of dispersion states of carbon nanotubes on physical properties of epoxy nanocomposites, Carbon, 43, 2005, 1378-1385.

[27] Schadler L.S., Giannaris S.C., Ajayan P.M., Load transfer in carbon nanotube epoxy composites, Applied Physics Letters, 73, 1998, 3842e4.

[28] Allaoui, A., Bai, S., Cheng, H.M., Bai, J.B., Mechanical and electrical properties of a MWNT/epoxy composite, Composite Science and Technology, 62, 2002, 1993-1998.

[29] Thostenson, E.T., Ren, Z., Chou, T.W., Advances in the science and technology of carbon nanotubes and their composites: a review, Composite Science and Technology, 61, 2001, 1899-1912.

[30] Qian, D., Wagner, G.J., Liu, W.K., Yu, M.F., Ruoff, RS., Mechanics of carbon nanotubes, Applied Physics Letters, 55, 2002, 495-533.

[31] Schadler, L.S., Giannaris, S.C., Ajayan, P.M., Load transfer in carbon nanotube epoxy composites, Applied Physics Letters 73, 1998, 3842-3844.

[32] Zhu, J., Peng, H., Rodriguez-Macias, F., Margrave, J.L., Khabashesku, V.N., Imam, A.M., Lozano, K., Barrera, E.V., Reinforcing epoxy polymer composites through covalent integration of functionalized nanotubes, Advanced Functional Materials, 14, 2004, 643-648.

[33] Sun, L., Gibson, R.F., Gordaninejad, F., Suhr, J., Energy absorption capability of nanocomposites: A review, Composites Science and Technology, 69, 2009, 2392–2409.

[34] Wang, W., Wan, X., Zhou, J., Zhao, M., Damage and Failure of Laminated Carbon-Fiber-Reinforced Composite under Low-Velocity Impact, Journal of Aerospace Engineering, 27(2), 2014.

[35] Cooper, C.A., Ravich, D., Lips, D., Mayer, J., Wagner, H.D., Distribution and alignment of carbon nanotubes and nanofibrils in a polymer matrix, Composites Science and Technology, 62(7–8), 2002, 1105–12.

[36] Kireitseu, M., Hui, D., Tomlinson, G., Advanced shock-resistant and vibration damping of nanoparticle-reinforced composite material, Composites Part B: Engineering, 39(1), 2008, 128–38.

[37] Krueger, R., The virtual crack closure technique: history, approach and applications. NASA/CR-2002e211628. 2002.

[38] Dugdale, D., Yielding of steel sheets containing slits, Journal of Mechanics and Physics of Solids, 8(2), 1960, 100-104.

[39] Barenblatt, G. The mathematical theory of equilibrium cracks in brittle fracture, Advanced Applied Mechanics, 7, 1962, 55-129.

[40] Bedon, C., Fragiacomo, M., Three-Dimensional Modelling of Notched Connections for Timber–Concrete Composite Beams, Journal of Structural Engineering International, 27, 2017, 184-196.
[41] Bedon, C., Machalická, K., Eliášová, M., Vokáč, M., Numerical modeling of adhesive connections including cohesive damage, Challenging Glass 6 , Conference on Architectural and Structural Applications of Glass, 6, 2018, 1-12.
[42] Baretta, R., Feo, L., Luciano, R., Marotti De Sciarra, F., A gradient Eringen model for functionally graded nanorods, Composite Structurrs, 131, 2015, 1124-1131.

[43] Baretta, R., Feo, L., Luciano, R., Marotti De Sciarra, F., Application of an enhanced version of the Eringen differential model to nanotechnology, Composites Part B: Engineering, 96, 2016, 274-280.

[44] Baretta, R., Feo, L., Luciano, R., Marotti De Sciarra, F., An Eringen-like model for Timoshenko nanobeams, Composite Structures, 139, 2016, 104-110.

[45] Baretta, R., Feo, L., Luciano, R., Marotti, D.S.F., Functionally graded Timoshenko nanobeams: A novel nonlocal gradient formulation, Composites Part B: Engineering, 100, 2016, 208-219.

[46] Hashin, Z., Failure Criteria for Unidirectional Fiber Composites, Journal of Applied Mechanics 47(2), 1980, 329-334.

[47] Hamitouche, L., Tarfaoui, M., Vautrin, A., An interface debonding law subject to viscous regularization for avoiding instability: Application to the delamination problems, Engineering Fracture Mechanics, 75, 2008, 3084–3100.

[48] Jiang, W.G., Hallett, S.R., Green, B.G., Wisnom, M.R., A concise interface constitutive law for analysis of delamination and splitting in composite materials and its application to scaled notched tensile specimens, International Journal of Numerical Methods in Engineering, 69, 2007, 1982–1995.

[49] Mollenhauer, D., Iarve, E.V., Kim, R., Langley, B., Examination of ply cracking in composite laminates with open holes: a moire interferometric and numerical study, Composites Part A, 37, 2006, 282–294.

[50] Hallett, S.R., Green, B.G., Jiang, W.G., Wisnom. M.R., An experimental and numerical investigation into the damage mechanisms in notched composites, Composites Part A, 40, 2009, 613–624.

[51] Prathap, G., The Finite Element Method in Structural Mechanics, Solid Mechanics and Its Applications series, Springer, 10.1007/978-94-017-3319-9.

[52] Tarfaoui, M., Lafdi, K., Moumen, A.E., Mechanical properties of carbon nanotubes based polymer composites, Composites Part B, 103, 2016, 113-121.