Abstract
This chapter focuses on the modeling of plain woven GFRP laminates under high-velocity impact. A brief review of the different approaches available in scientific literature to model the behavior of composite laminates subjected to high-velocity impact of low-mass projectiles is presented, and a new analytical model is proposed. The present model is able to predict the energy absorbed by the laminate during the perforation process including the main energy-absorption mechanisms for thin laminates: kinetic energy transferred to the laminate, fiber failure, elastic deformation, matrix cracking, and delamination.
The model is validated through comparison with experimental data obtained in high-velocity impact tests on plain woven laminates made from glass fiber and polyester resin, using different plate thicknesses. Moreover, a numerical model based on the Finite Element Method (FEM) was developed to verify the hypothesis of the analytical model. The model showed good agreement with experimental results for a laminate thickness between 3 and 6 mm. However, when the thickness reached 12 mm the model overestimated the residual velocity of the projectile.
The validated analytical model is used to analyze the contribution of the main energy-absorption mechanisms. For impact velocities lower than or equal to the ballistic limit, the main energy-absorption mechanisms are fiber elastic deformation and fiber failure, thus the impact behavior of the laminate is dominated by the stiffness and the strength of the plate. Meanwhile, for higher impact velocities, laminate acceleration is the main energy-absorption mechanism, and the behavior of the laminate is dominated by its density.
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References
Koissin V, Skvortsov V, Krahmalev S, Shilpsha A (2004) The elastic response of sandwich structures to local loading. Compos Struct 63(3–4):375–385
Rizov V, Mladensky A (2008) Mechanical behaviour of composite sandwich structures subjected to low velocity impact – experimental testing and finite element modeling. Polym Polym Compos 16(4):233–240
Cantwell WJ, Morton J (1990) Impact perforation of carbon fiber reinforced plastic. Compos Sci Technol 38:119–141
Abrate S (1998) Impact on composite structures. Cambridge University Press, Cambridge
Abrate S (1994) Impact on laminated composites: recent advances. Appl Mech Rev 47(11):517–544
Kasano H, Abe K (1997) Perforation characteristics prediction of multi-layered composite plates subjected to high velocity impact. In: Proceedings of the ICCM-11, vol 2, pp 522–531
Ben-Dor G, Dubinsky A, Elperin T (2005) Ballistic impact: recent Advances in analytical modeling of plate perforation dynamic-a review. Appl Mech Rev 58:355–369
Menna C, Asprone D, Caprino G, Lopresto V, Prota A (2011) Numerical simulation of impact tests on GRFP composite laminates. Int J Impact Eng 38:677–685
Gama BA, Gillespie JW (2011) Finite element modeling of impact, damage evolution and penetration of thick-section composites. Int J Impact Eng 38:181–197
Navarro C (1997) Impact response and dynamic failure of composites and laminate materials. Key Eng Mat 141–143:383–402
Sjöblom PO, Hartness JT, Cordell TM (1988) On low-velocity impact testing of composite materials. J Compos Mat 22:30–52
Robinson P, Davies GAO (1992) Impactor mass and specimen geometry effects in low velocity impact of laminated composites. Int J Impact Eng 12(2):189–207
Naik NK, Shrirao P (2004) Composite structures under ballistic impact. Compos Struct 66:579–590
Buitrago BL, García-Castillo SK, Barbero E (2010) Experimental analysis of perforation of glass/polyester structures subjected to high-velocity impact. Mater Lett 64(9):1052–1054
Zukas JA, Nicholas T, Swift H, Greszczuk LB, Curran DR (1992) Impact dynamic. Krieger Publishing Company, Malabar
MIL-STD-662F Standard. V50 Ballistic test for armor. Department of Defense Test Method Standard
Ulven C, Vahadilla UK, Hosur MV (2003) Effect of projectile shape during ballistic perforation of VARTM carbon/epoxi composite panels. Compos Struct 61:143–150
Fujii K, Aoki M, Kiuchi N, Yasuda E, Tanabe Y (2002) Impact perforation behavior of CFRPs using high-velocity steel sphere. Int J Impact Eng 27:497–508
García-Castillo SK, Sánchez-Sáez S, Barbero E (2012) Nondimensional analysis of ballistic impact on woven laminate plates. Int J Impact Eng 29:8–15
Kim H, Welch DA, Kedward KT (2003) Experimental investigation of high velocity ice impacts on woven carbon/epoxy composite panels. Compos Part A Appl S 34:25–41
Johnson AF, Holzapfel M (2006) Influence of delamination on impact damage in composite structures. Compos Sci Technol 66:807–815
García-Castillo SK, Sánchez-Sáez S, Barbero E, Navarro C (2006) Response of pre-loaded laminate composite plates subject to high velocity impact. J Phys IV 134:1257–1263
Deka LJ, Bartus SD, Vaidya UK (2008) Damage evolution and energy absorption of E-glass/polypropylene laminates subjected to ballistic impact. J Mater Sci 43:4399–4410
Tan VBC, Ching TW (2006) Computational simulation of fabric armor subjected to ballistic impacts. Int J Impact Eng 32:1737–1751
He T, Wen HM, Qin Y (2008) Finite element analysis to predict perforation and perforation of thick FRP laminates struck by projectiles. Int J Impact Eng 35:27–36
Buitrago BL, Santiuste C, Sanchez-Saez S, Barbero E, Navarro C (2010) Modelling of composite sandwich structures with honeycomb core subjected to high-velocity impact. Compos Struct 92:2090–2096
Grujicic M, He T, Marvi H, Cheeseman BA, Yen CF (2010) A comparative investigation of the use of laminate-level meso-scale and fracture-mechanics-enriched meso-scale composite-material models in ballistic-resistance analyses. J Mater Sci 45(12):3136–3150
Taylor WJ, Vinson JR (1990) Modeling ballistic into flexible materials. AIAA J 28:2098–2103
Zhu G, Goldsmith W, Dharan CKH (1992) Penetration of laminated Kevlar by projectiles-II. Analytical model. Int J Solid Struct 29:421–436
Vinson JR, Walter JM (1997) Ballistic impact of thin-walled composite structures. AIAA J 35:875–878
Navarro C (1998) Simplified modelling of the ballistic behavior of fabrics and fiber-reinforced polymeric matrix composites. Key Eng Mat 141(1):383–399
Morye SS, Hine PJ, Duckett RA, Carr DJ, Ward IM (2000) Modelling of the energy absorption by polymer composites upon ballistic impact. Compos Sci Technol 60:2631–2640
Wen HM (2000) Predicting the penetration and perforation of FRP laminates struck normally by projectiles with different nose shapes. Compos Struct 49(3):321–329
Gu B (2003) Analytical modelling for the ballistic perforation of planar plain-woven fabric target by projectile. Compos Part B Eng 34:361–371
Naik NK, Shrirao P, Reddy BCK (2005) Ballistic impact behavior of woven fabric composite: parametric studies. Mater Sci Eng A Struct 472:104–116
Naik NK, Doshi AV (2005) Ballistic impact behavior of thick composite: analytical formulation. AIAA J 43:1525–1536
Naik NK, Shrirao P, Reddy BCK (2006) Ballistic impact behavior of woven fabric composites: formulation. Int J Impact Eng 32:1521–1552
Lopez-Puente J, Zaera R, Navarro C (2007) An analytical model for high velocity impacts on thin CFRPs woven laminated plates. Int J Solid Struct 44:2837–2851
García-Castillo SK, Sánchez-Sáez S, López-Puente J, Barbero E, Navarro C (2009) Impact behavior of preloaded glass/polyester woven plates. Compos Sci Technol 69:711–717
Wen HM (2001) Penetration and perforation of thick FRP laminates. Compos Sci Technol 61:1163–1172
Phoenix SL, Porwal PK (2003) A new membrane model for ballistic impact response and V50 performance of multi-ply fibrous systems. Int J Solid Struct 40:6723–6765
Mamivand M, Liaghat GH (2010) A model for ballistic impact on multi-layer fabric targets. Int J Impact Eng 37:806–812
Grujicic M, Bell WC, Arakere G, He T, Xie X, Cheeseman B (2010) A development of a meso-scale material model for ballistic fabric and its use in flexible-armor protection systems. J Mater Eng Perform 19(1):22–39
He T, Wen HM, Qin Y (2007) Penetration and perforation of FRP laminates struck transversely by conical-nosed projectiles. Compos Struct 81(2):243–252
García-Castillo SK (2007) Análisis de laminados de materiales compuestos con precarga en su plano y sometidos a impacto. PhD thesis, University Carlos III of Madrid
García-Castillo SK, Buitrago BL, Barbero E (2011) Behavior of sandwich structures and spaced plates subjected to high-velocity impacts. Polym Compos 32(2):290–296
Nahas NM (1986) Survey of failure and post-failure theories of laminated fiber-reinforced composites. J Compos Technol Res 8:138–153
Paris F (2001) A study of failure criteria of fibrous composite materials. Technical report: NASA-cr210661
Orifici AC, Herszberg I, Thomson RS (2008) Review of methodologies for composite material modeling incorporating failure. Compos Struct 86:194–210
Soden PD, Kaddour AS, Hinton MJ (2004) Recommendations for designers and researchers resulting from the world-wide failure exercise. Compos Sci Technol 64(3–4):589–604
Hashin Z (1980) Failure criteria for unidirectional fiber composites. J Appl Mech 47:329–334
Hou JP, Petrinic N, Ruiz C, Hallett SR (2000) Prediction of impact damage in composite plates. Compos Sci Tech 60(2):273–280
Chang F, Chang KA (1987) A progressive damage model for laminated composites containing stress concentrations. J Compos Mater 21:834–855
Zangani D, Robinson M, Gibson AG (2008) Energy absorption characteristics of web-core sandwich composite panels subjected to drop-weight impact. Appl Compos Mater 15:139–156
Foo CC, Chai GB, Seah LK (2008) A model to predict low-velocity impact response and damage in sandwich composites. Compos Sci Technol 68:1348–1356
Budiansky B, Fleck NA, Amaxigo JC (1998) On kink-band propagation in fiber composites. J Mech Phys Solid 46:1637–1653
Davila CG, Camanho PP (2003) Failure criteria for FRP laminates in plane stress. NASA/TM-2003-212663
Davila CG, Camanho PP, Rose CA (2005) Failure criteria for FRP laminates. J Compos Mater 39:323–343
Puck A, Schürmann H (1998) Failure analysis of FRP laminates by means of physically based phenomenological models. Compos Sci Technol 58:1045–1067
Christensen RM (1997) Stress based yield/fracture criteria for fiber composites. Int J Solid Struct 34:529–543
Kim RY, Soni SR (1986) Failure of composite laminates due to combined interlaminar normal and shear stresses. Composites ’86: recent advances in Japan and the United States, pp 341–350
Brewer JC, Lagace PA (1988) Quadratic stress criterion for initiation of delamination. J Compos Mater 22(12):1141–1155
Tong L (1997) An assessment of failure criteria to predict the strength of adhesively bonded composite double lap joints. J Reinforce Plastic Composites 16:698–713
Lorriot TH, Marion G, Harry R, Wargnier H (2003) Onset of free-edge delamination in composite laminates under tensile loading. Compos Part B: Eng 34:459–471
Mahanta BB, Chakraborty D, Dutta A (2004) Accurate prediction of delamination in FRP composite laminates resulting from transverse impact. Compos Sci Technol 64:2341–2351
Goyal VK, Johnson ER, Dávila C (2004) Irreversible constitutive law for modeling the delamination process using interfacial surface discontinuities. Compos Struct 65:289–305
Zhang Z, Taheri F (2004) Dynamic damage initiation of composite beams subjected to axial impact. Compos Sci Technol 64:719–728
Maimi P, Camanho PP, Mayugo JA, Davila CG (2007) A continuum damage model for composite laminates: part I – constitutive model. Mech Mater 39(10):897–808
Sleight DW (1999) Progressive failure analysis methodology for laminated composite structures. NASA/TP-1999-209107
Chiu KD (1969) Ultimate Strength of laminated composites. J Compos Mater 3:578–582
Luo RK, Green ER, Morrison CJ (1999) Impact damage analysis of composite plates. Int J Impact Eng 22:435–447
Camanho PP, Matthews FL (1999) A progressive damage model for mechanically fastened joints in composite laminates. J Compos Mater 33:2248–2280
Papanikos P, Tserpes KI, Pantelakis SP (2003) Modelling of fatigue damage progression and life of CFRP laminates. Fatigue Fracture Eng Mater Struct 26:37–47
Hahn HT, Tsai SW (1974) On the behaviour of composite laminates after initial failures. J Compos Mater 8:288–305
Ghosh A, Sinha PK (2004) Dynamic and impact response of damaged laminated composite plates. Aircr Eng Aerosp Technol 76:29–23
Balzani C, Wagner W (2008) An interface element for the simulation of delamination in unidirectional fiber-reinforced composite laminates. Eng Fract Mech 75:2597–2615
Linde P, De Boer H (2006) Modelling of inter-rivet buckling of hybrid composites. Compos Struct 73:221–228
Sheikh AH, Bull PH, Kepler JA (2009) Behavior of multiple composite plates subjected to ballistic impact. Compos Sci Technol 69:704–710
Kachanov LM (1958) Time of the rupture process under creep conditions. Izvetia Akademii Naukk SSSR. Otdelenie Tekhnischeskich Nauk
Rabotnov YN (1968) Creep rupture. In: Proceeding of XII international congress on applied mechanic. Springer, Stanford
Talreja R (1987) Modeling of damage development in composite using internal variable concepts. Damage mechanics in composites, ASME Winter annual meeting, Boston
Ladeveze P, Ledantec E (1992) Damage modelling of the elementary ply for laminated composites. Compos Sci Technol 43:257–267
Matzenmiller A, Lubliner J, Taylor RL (1995) A constitutive model for anisotropic damage in fiber composites. Mech Mater 20:125–152
Barbero EJ, Lonetti P, Sikkil KK (2006) Finite element continuum damage modeling of plain weave reinforced composites. Compos Part B Eng 37:137–147
Santiuste C, Sánchez-Sáez S, Barbero E (2010) A comparison of progressive-failure criteria in the prediction of the dynamic. Compos Struct 92(10):2406–2414
Lopez-Puente J, Zaera R, Navarro C (2008) Experimental and numerical analysis of normal and oblique ballistic impacts on thin carbon/epoxy woven laminates. Compos Part A Appl S 39:374–387
Iváñez I, Santiuste C, Sánchez-Sáez S (2010) FEM analysis of dynamic flexural behavior of composite sandwich beams with foam core. Compos Struct 92(9):2285–2291
Ivañez I, Santiuste C, Sánchez-Sáez S, Barbero E (2011) Numerical modelling of foam-cored sandwich plates under high velocity impact. Compos Struct 93:2392–2399
Smith JC, McCrackin FL, Schiefer HF (1958) Stress-strain relationships in yarns subjected to rapis impact loading: 5 Wave propagation in long tensile yarns impacted transversally. J Res Nat Bur Stand 60:517–534
Roylance D (1980) Stress wave propagation in fibres: effect of crossovers. Fibre Sci Technol 13(5):385–395
García-Castillo SK, Sánchez-Sáez S, Barbero E (2011) Behaviour of uniaxially preloaded aluminium plates subjected to high-velocity impact. Mech Res Commun 38(5):404–407
Zee RH, Wang CJ, Mount A, Jang BZ, Hsieh CY (1991) Ballistic response of polymer composites. Polym Compos 12:196–202
Varas D, Zaera R, López-Puente J (2011) Experimental study of CFRP fluid-filled tubes subjected to high-velocity impact. Compos Struct 93(10):2598–2609
Kasano H (1999) Recent advances in high-velocity impact perforation of fiber composite laminates. JSME Int J A 42(2):147–157
Acknowledgments
The authors are indebted to the Spanish Comisión Interministerial de Ciencia y Tecnología (Projects TRA2007-66555) and Consejería de Educación de la Comunidad de Madrid (Projects GR/MAT/0498/2004 and IME-05-026) for the financial support of this work.
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García-Castillo, S.K., Sánchez-Sáez, S., Santiuste, C., Navarro, C., Barbero, E. (2013). Perforation of Composite Laminate Subjected to Dynamic Loads. In: Abrate, S., Castanié, B., Rajapakse, Y. (eds) Dynamic Failure of Composite and Sandwich Structures. Solid Mechanics and Its Applications, vol 192. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5329-7_7
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