Low-velocity impact analysis of carbon nanotube reinforced composite laminates
Source abstract
Abstract
To study the impact response of the functionally graded carbon nanotubes reinforced composite (FG-CNTRC) laminates, four types of stacking arrangements were discussed in this paper. The general Karman type equations, rule of mixture and Hertz contact law were used to formulate the laminate, material and contact behavior, respectively. The effects of different gradient forms, temperature, initial velocity and volume fraction of carbon nanotubes (CNTs) on the impact behavior of the laminates were investigated. The results suggest that the titanium alloy layer has improved the stiffness and strength of the laminates and weakened the influence of the FG-CNTRC. A higher temperature results in a larger center displacement due to the existence of the temperature-dependent materials. In addition, a faster velocity leads to a larger deformation rate of the laminate in the initial stage and also a larger center displacement.
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Research context
OpenAlex topics: Mechanical Behavior of Composites · Composite Structure Analysis and Optimization · Tribology and Wear Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (57)
Show source-provided references
1. Iijima S (1991) Helical microtubules of graphitic carbon. Nature 354(6348):56–58. doi: 10.1038/354056a010.1038/354056a0 ↗
2. De Volder MFL, Tawfick SH, Baughman RH, Hart AJ (2013) Carbon nanotubes: present and future commercial applications. Science 339(6119):535–539. doi: 10.1126/science.122245310.1126/science.1222453 ↗
3. Treacy MMJ, Ebbesen TW, Gibson JM (1996) Exceptionally high Young’s modulus observed for individual carbon nanotubes. Nature 381(6584):678–68010.1038/381678a0 ↗
4. Shen HS (2009) Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Compos Struct 91(1):9–19. doi: 10.1016/j.compstruct.2009.04.02610.1016/j.compstruct.2009.04.026 ↗
5. Bakhti K, Kaci A, Bousahla AA, Houari MSA, Tounsi A, Bedia EAA (2013) Large deformation analysis for functionally graded carbon nanotube-reinforced composite plates using an efficient and simple refined theory. Steel And Compos Struct 14(4):335–34710.12989/scs.2013.14.4.335 ↗
6. Kaci A, Tounsi A, Bakhti K, Bedia EAA (2012) Nonlinear cylindrical bending of functionally graded carbon nanotube-reinforced composite plates. Steel And Compos Struct 12(6):491–50410.12989/scs.2012.12.6.491 ↗
7. Heydari MM, Bidgoli AH, Golshani HR, Beygipoor G, Davoodi A (2015) Nonlinear bending analysis of functionally graded CNT-reinforced composite Mindlin polymeric temperature-dependent plate resting on orthotropic elastomeric medium using GDQM. Nonlinear Dyn 79(2):1425–1441. doi: 10.1007/s11071-014-1751-010.1007/s11071-014-1751-0 ↗
8. Lei ZX, Liew KM, Yu JL (2013) Large deflection analysis of functionally graded carbon nanotube-reinforced composite plates by the element-free kp-Ritz method. Comput Methods Appl Mech Eng 256:189–199. doi: 10.1016/j.cma.2012.12.00710.1016/j.cma.2012.12.007 ↗
9. Zhang LW, Song ZG, Liew KM (2015) Nonlinear bending analysis of FG-CNT reinforced composite thick plates resting on Pasternak foundations using the element-free IMLS-Ritz method. Compos Struct 128:165–175. doi: 10.1016/j.compstruct.2015.03.01110.1016/j.compstruct.2015.03.011 ↗
10. Fan Y, Wang H (2016) Nonlinear bending and postbuckling analysis of matrix cracked hybrid laminated plates containing carbon nanotube reinforced composite layers in thermal environments. Compos Part B-Eng 86:1–16. doi: 10.1016/j.compositesb.2015.09.04810.1016/j.compositesb.2015.09.048 ↗
11. Shen HS, Zhu ZH (2010) Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments. CMC-Comput Mater Continua 18(2):155–182
12. Mehrabadi SJ, Aragh BS, Khoshkhahesh V, Taherpour A (2012) Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes. Compos Part B-Eng 43(4):2031–2040. doi: 10.1016/j.compositesb.2012.01.06710.1016/j.compositesb.2012.01.067 ↗
13. Zhang LW, Lei ZX, Liew KM (2015) An element-free IMLS-Ritz framework for buckling analysis of FG-CNT reinforced composite thick plates resting on Winkler foundations. Eng Anal Boundary Elem 58:7–17. doi: 10.1016/j.enganabound.2015.03.00410.1016/j.enganabound.2015.03.004 ↗
14. Shen HS, Zhang CL (2010) Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates. Mater Des 31(7):3403–3411. doi: 10.1016/j.matdes.2010.01.04810.1016/j.matdes.2010.01.048 ↗
15. Zhang LW, Liew KM (2016) Postbuckling analysis of axially compressed CNT reinforced functionally graded composite plates resting on Pasternak foundations using an element-free approach. Compos Struct 138:40–51. doi: 10.1016/j.compstruct.2015.11.03110.1016/j.compstruct.2015.11.031 ↗
16. Zhang LW, Liew KM, Reddy JN (2016) Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression. Comput Methods Appl Mech Eng 298:1–28. doi: 10.1016/j.cma.2015.09.01610.1016/j.cma.2015.09.016 ↗
17. Wang ZX, Shen HS (2011) Nonlinear vibration of nanotube-reinforced composite plates in thermal environments. Comput Mater Sci 50(8):2319–2330. doi: 10.1016/j.commatsci.2011.03.00510.1016/j.commatsci.2011.03.005 ↗
18. Zhu P, Lei ZX, Liew KM (2012) Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Compos Struct 94(4):1450–1460. doi: 10.1016/j.compstruct.2011.11.01010.1016/j.compstruct.2011.11.010 ↗
19. Lei ZX, Liew KM, Yu JL (2013) Free vibration analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method in thermal environment. Compos Struct 106:128–138. doi: 10.1016/j.compstruct.2013.06.00310.1016/j.compstruct.2013.06.003 ↗
20. Mehar K, Panda SK (2016) Geometrical nonlinear free vibration analysis of FG-CNT reinforced composite flat panel under uniform thermal field. Compos Struct 143:336–346. doi: 10.1016/j.compstruct.2016.02.03810.1016/j.compstruct.2016.02.038 ↗
21. Nami MR, Janghorban M (2015) Free vibration of thick functionally graded carbon nanotube-reinforced rectangular composite plates based on three-dimensional elasticity theory via differential quadrature method. Adv Compos Mater 24(5):439–45010.1080/09243046.2014.901472 ↗
22. Shahrbabaki EA, Alibeigloo A (2014) Three-dimensional free vibration of carbon nanotube-reinforced composite plates with various boundary conditions using Ritz method. Compos Struct 111:362–370. doi: 10.1016/j.compstruct.2014.01.01310.1016/j.compstruct.2014.01.013 ↗
23. Wu CP, Li HY (2016) Three-dimensional free vibration analysis of functionally graded carbon nanotube-reinforced composite plates with various boundary conditions. J Vib Control 22(1):89–107. doi: 10.1177/107754631452836710.1177/1077546314528367 ↗
24. Moradi-Dastjerdi R, Malek-Mohammadi H, Momeni-Khabisi H (2017) Free vibration analysis of nanocomposite sandwich plates reinforced with CNT aggregates. ZAMM—J Appl Math Mech/Zeitschrift für Angewandte Mathematik und Mechanik. doi: 10.1002/zamm.20160020910.1002/zamm.201600209 ↗
25. Kamarian S, Shakeri M, Yas MH, Bodaghi M, Pourasghar A (2015) Free vibration analysis of functionally graded nanocomposite sandwich beams resting on Pasternak foundation by considering the agglomeration effect of CNTs. J Sandw Struct Mater 17(6):632–665. doi: 10.1177/109963621559028010.1177/1099636215590280 ↗
26. Kamarian S, Yas MH, Pourasghar A (2013) Free vibration analysis of three-parameter functionally graded material sandwich plates resting on Pasternak foundations. J Sandw Struct Mater 15(3):292–308. doi: 10.1177/109963621348736310.1177/1099636213487363 ↗
27. Moradi-Dastjerdi R, Payganeh G, Malek-Mohammadi H (2015) Free vibration analyses of functionally graded CNT reinforced nanocomposite sandwich plates resting on elastic foundation. J Solid Mech 7(2):158–172
28. Alibeigloo A, Alizadeh M (2015) Static and free vibration analyses of functionally graded sandwich plates using state space differential quadrature method. Eur J Mech a-Solid 54:252–266. doi: 10.1016/j.euromechsol.2015.06.01110.1016/j.euromechsol.2015.06.011 ↗
29. Moradi-Dastjerdi R, Momeni-Khabisi H (2017) Vibrational behavior of sandwich plates with functionally graded wavy carbon nanotube-reinforced face sheets resting on Pasternak elastic foundation. J Vib Control: 107754631668622. doi: 10.1177/107754631668622710.1177/1077546316686227 ↗
30. Moradi-Dastjerdi R, Momeni-Khabisi H (2016) Dynamic analysis of functionally graded nanocomposite plates reinforced by wavy carbon nanotube. Steel and Compos Struct 22(2):277–299. doi: 10.12989/scs.2016.22.2.27710.12989/scs.2016.22.2.277 ↗
31. Ansari R, Hasrati E, Shojaei MF, Gholami R, Shahabodini A (2015) Forced vibration analysis of functionally graded carbon nanotube-reinforced composite plates using a numerical strategy. Physica E-Low-Dimens Syst Nanostruct 69:294–305. doi: 10.1016/j.physe.2015.01.01110.1016/j.physe.2015.01.011 ↗
32. Malekzadeh P, Dehbozorgi M, Monajjemzadeh SM (2015) Vibration of functionally graded carbon nanotube-reinforced composite plates under a moving load. Sci Eng Compos Mater 22(1):37–55. doi: 10.1515/secm-2013-014210.1515/secm-2013-0142 ↗
33. Wang ZX, Shen HS (2012) Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments. Nonlinear Dyn 70(1):735–754. doi: 10.1007/s11071-012-0491-210.1007/s11071-012-0491-2 ↗
34. Fan Y, Wang H (2016) Nonlinear dynamics of matrix-cracked hybrid laminated plates containing carbon nanotube-reinforced composite layers resting on elastic foundations. Nonlinear Dyn 84(3):1181–1199. doi: 10.1007/s11071-015-2562-710.1007/s11071-015-2562-7 ↗
35. Moradi-Dastjerdi R, Payganeh G, Tajdari M (2016) Resonance in functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube. Polym Compos. doi: 10.1002/pc.2404510.1002/pc.24045 ↗
36. Moradi-Dastjerdi R (2016) Wave propagation in functionally graded composite cylinders reinforced by aggregated carbon nanotube. Struct Eng Mech 57(3):441–456. doi: 10.12989/sem.2016.57.3.44110.12989/sem.2016.57.3.441 ↗
37. Shiuh-Chuan H, Ching-Chun L (2015) Impact analysis of composite laminate shell structures. Appl Mech Mater 764–765:1185–1188. doi: 10.4028/www.scientific.net/AMM.764-765.118510.4028/www.scientific.net/AMM.764-765.1185 ↗
38. Mao YQ, Ai SG, Chen CP, Fang DN (2015) Nonlinear dynamic response and damage analysis for functionally graded metal shallow spherical shell under low-velocity impact. Arch Appl Mech 85(11):1627–1647. doi: 10.1007/s00419-015-1009-410.1007/s00419-015-1009-4 ↗
39. Fard KM, Ghorghabad AV, Azarnia AH, Ghasemi FA (2015) High order impact elastic analysis of circular thick cylindrical sandwich panels subjected to multi-mass impacts. Latin Am J Solids And Struct 12(12):2281–2310. doi: 10.1590/1679-7825175810.1590/1679-78251758 ↗
40. Kharazan M, Sadr MH, Kiani M (2014) Delamination growth analysis in composite laminates subjected to low velocity impact. Steel And Compos Struct 17(4):387–40310.12989/scs.2014.17.4.387 ↗
41. Dey S, Karmakar A (2013) Dynamic analysis of delaminated composite conical shells under low velocity impact. J Reinf Plast Compos 32(6):380–392. doi: 10.1177/073168441246566310.1177/0731684412465663 ↗
42. Wang ZX, Xu J, Qiao P (2014) Nonlinear low-velocity impact analysis of temperature-dependent nanotube-reinforced composite plates. Compos Struct 108:423–434. doi: 10.1016/j.compstruct.2013.09.02410.1016/j.compstruct.2013.09.024 ↗
43. Song ZG, Zhang LW, Liew KM (2016) Dynamic responses of CNT reinforced composite plates subjected to impact loading. Compo Part B-Eng 99:154–161. doi: 10.1016/j.compositesb.2016.06.03410.1016/j.compositesb.2016.06.034 ↗
44. Malekzadeh P, Dehbozorgi M (2016) Low velocity impact analysis of functionally graded carbon nanotubes reinforced composite skew plates. Compos Struct 140:728–748. doi: 10.1016/j.compstruct.2016.01.04510.1016/j.compstruct.2016.01.045 ↗
45. Jam JE, Kiani Y (2015) Low velocity impact response of functionally graded carbon nanotube reinforced composite beams in thermal environment. Compos Struct 132:35–43. doi: 10.1016/j.compstruct.2015.04.04510.1016/j.compstruct.2015.04.045 ↗
46. Moradi-Dastjerdi R, Pourasghar A (2014) Dynamic analysis of functionally graded nanocomposite cylinders reinforced by wavy carbon nanotube under an impact load. J Vib Control 22(4):1062–1075. doi: 10.1177/107754631453936810.1177/1077546314539368 ↗
47. Schwaar M, Gmür T, Frieden J (2012) Modal numerical–experimental identification method for characterising the elastic and damping properties in sandwich structures with a relatively stiff core. Compos Struct 94(7):2227–2236. doi: 10.1016/j.compstruct.2012.02.01710.1016/j.compstruct.2012.02.017 ↗
48. Dawood M, Taylor E, Ballew W, Rizkalla S (2010) Static and fatigue bending behavior of pultruded GFRP sandwich panels with through-thickness fiber insertions. Compos Part B-Eng 41(5):363–374. doi: 10.1016/j.compositesb.2010.02.00610.1016/j.compositesb.2010.02.006 ↗
49. Aviles F, Couoh-Solis F, Carlsson LA, Hernandez-Perez A, May-Pat A (2011) Experimental determination of torsion and shear properties of sandwich panels and laminated composites by the plate twist test. Compos Struct 93(7):1923–1928. doi: 10.1016/j.compstruct.2011.02.00110.1016/j.compstruct.2011.02.001 ↗
50. Kawasaki T, Zhang M, Wang Q, Komatsu K, Kawai S (2006) Elastic moduli and stiffness optimization in four-point bending of wood-based sandwich panel for use as structural insulated walls and floors. J Wood Sci 52(4):302–310. doi: 10.1007/s10086-005-0766-z10.1007/s10086-005-0766-z ↗
51. Reddy JN (1984) A refined nonlinear theory of plates with transverse shear deformation. Int J Solids Struct 20(9–10):881–896. doi: 10.1016/0020-7683(84)90056-810.1016/0020-7683(84)90056-8 ↗
52. Shen HS (1997) Kármán-type equations for a higher-order shear deformation plate theory and its use in the thermal postbuckling analysis. App Math Mech (English Edition) 18:1137–115210.1007/BF00713716 ↗
53. Shi DL, Feng XQ, Huang Y, Hwang KC, Gao HJ (2004) The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites. J Eng Mater Technol Trans Asme 126(3):250–257. doi: 10.1115/1.175118210.1115/1.1751182 ↗
54. Schapery RA (1968) Thermal expansion coefficients of composite materials based on energy principles. J Compos Mater 2(3):380–404. doi: 10.1177/00219983680020030810.1177/002199836800200308 ↗
55. Song YS, Youn JR (2006) Modeling of effective elastic properties for polymer based carbon nanotube composites. Polymer 47(5):1741–1748. doi: 10.1016/j.polymer.2006.01.01310.1016/j.polymer.2006.01.013 ↗
56. Purdue University. Thermophysical Properties Research Center., Touloukian YS, Air Force Materials Laboratory (US) (1967) Thermophysical properties of high temperature solid materials. Macmillan, New York
57. Shen HS (2007) Nonlinear thermal bending response of FGM plates due to heat conduction. Compos Part B-Eng 38:201–21510.1016/j.compositesb.2006.06.004 ↗