Abstract
The nonlinear shear of resin in fiber reinforced plastic composites is a plastic feature that cannot be ignored. Some materials scientists were often stuck on how to in situ characterize accurately shear nonlinear property of the modified resin in the composite. In this paper we try to solve this problem. Firstly, we adopted DIC method to measure the full-field shear strain; secondly we adopted a Ramberg–Osgood constitutive to quantize accurately the modification effect on shear properties by nanoparticles. Finally, we conducted many modification experiments with common nanoparticles (poly aryl ether ketone, nano-silica, and multi-walled carbon nanotubes, MWCNTs: 12 cases) to verified that the method we proposed is simple and effective to conduct for materials scientist without the esoteric mechanical reserve. In addition, the quantization will facilitate researchers engaged in finite element analysis with several experimental data references for related simulation-based research.
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Notes
American Society for Testing and Materials. Standard test method for short-beam strength of polymer matrix composite materials and their laminates. ASTM International. 2006.
References
Gojny, F.H., Wichmann, M.H.G., Fiedler, B., Bauhofer, W., Schulte, K.: Influence of nano-modification on the mechanical and electrical properties of conventional fibre-reinforced composites. Compos. Part A 36(11), 1525–1535 (2005)
Yokozeki, T., Iwahori, Y., Ishiwata, S., Enomoto, K.: Mechanical properties of CFRP laminates manufactured from unidirectional prepregs using CSCNT-dispersed epoxy. Compos. Part A 38(10), 2121–2130 (2007)
Chandrasekaran, V.C.S., Advani, S.G., Santare, M.H.: Role of processing on interlaminar shear strength enhancement of epoxy/glass fiber/multi-walled carbon nanotube hybrid composites. Carbon 48(13), 3692–3699 (2010)
Mujika, F., Vargas, G., Ibarretxe, J., De Gracia, J., Arrese, A.: Influence of the modification with MWCNT on the interlaminar fracture properties of long carbon fiber composites. Compos. B 43(3), 1336–1340 (2012)
Xu, X., Zhou, Z., Hei, Y., Zhang, B., Bao, J., Chen, X.: Improving compression-after-impact performance of carbon–fiber composites by CNTs/thermoplastic hybrid film interlayer. Compos. Sci. Technol. 95, 75–81 (2014)
Yao, X.F., Zhao, H.P., Yeh, H.Y.: Micro/nanoscopic characterizations of epoxy-silica nanocomposites. JRPC 25(2), 189–196 (2006)
Uddin, M.F., Sun, C.T.: Strength of unidirectional glass/epoxy composite with silica nanoparticle-enhanced matrix. Compos. Sci. Technol. 68(7–8), 1637–1643 (2008)
Sprenger, S., Kothmann, M.H., Altstaedt, V.: Carbon fiber-reinforced composites using an epoxy resin matrix modified with reactive liquid rubber and silica nanoparticles. Compos. Sci. Technol. 105, 86–95 (2014)
Yao, X., Yeh, H.-Y., Zhou, D., Zhang, Y.: The structural characterization and properties of SiO2-epoxy nanocomposites. J. Compos. Mater. 40(4), 371–381 (2006)
Yuan, Y., Niu, K., Wang, Z.: Compressive strength prediction of fibre reinforced polymer composites under lateral disturbance. Polym Test. 78, 105952 (2019)
Yuan, Y., Niu, K., Zhang, Z.: Compressive damage mode manipulation of fiber-reinforced polymer composites. EnFM 223, 6799 (2019)
Mannov, E., Schmutzler, H., Chandrasekaran, S., Viets, C., Buschhorn, S., Toelle, F., et al.: Improvement of compressive strength after impact in fibre reinforced polymer composites by matrix modification with thermally reduced graphene oxide. Compos. Sci. Technol. 87, 36–41 (2013)
Gao, E.L., Wen, Y.Y., Yuan, Y.N., Li, C., Xu, Z.P.: Intrinsic mechanical properties of graphene oxide films: Strain characterization and the gripping effects. Carbon 118, 467–474 (2017)
Siddiqui, N.A., Woo, R.S.C., Kim, J.-K., Leung, C.C.K., Munir, A.: Mode I interlaminar fracture behaviour and mechanical properties of CFRPs with nanoclay-filled epoxy matrix (vol 38, pg 449, 2007). Compos. Part A 38(7), 1810 (2007)
Khan, S.U., Kim, J.-K.: Improved interlaminar shear properties of multiscale carbon fiber composites with bucky paper interleaves made from carbon nanofibers. Carbon 50(14), 5265–5277 (2012)
Arai, M., Noro, Y., Sugimoto, K.-I., Endo, M.: Mode I and mode II interlaminar fracture toughness of CFRP laminates toughened by carbon nanofiber interlayer. Compos. Sci Technol. 68(2), 516–525 (2008)
Seyhan, A.T., Tanoglu, M., Schulte, K.: Mode I and mode II fracture toughness of E-glass non-crimp fabric/carbon nanotube (CNT) modified polymer based composites. EnFM 75(18), 5151–5162 (2008)
Tang, Y., Ye, L., Zhang, Z., Friedrich, K.: Interlaminar fracture toughness and CAI strength of fibre-reinforced composites with nanoparticles—A review. Compos. Sci. Technol. 86, 26–37 (2013)
Yuan, Y.N., Yao, X.F., Ma, Y.J., Liu, B.: Impact properties of multi-wall carbon nanotubes modified composites. J. Test. Evaluat. 46(3), 20160655 (2018)
Wicks, S.S., de Villoria, R.G., Wardle, B.L.: Interlaminar and intralaminar reinforcement of composite laminates with aligned carbon nanotubes. Compos. Sci. Technol. 70(1), 20–28 (2010)
Davis, D.C., Whelan, B.D.: An experimental study of interlaminar shear fracture toughness of a nanotube reinforced composite. Composites B 42(1), 105–116 (2011)
Almuhammadi, K., Alfano, M., Yang, Y., Lubineau, G.: Analysis of interlaminar fracture toughness and damage mechanisms in composite laminates reinforced with sprayed multi-walled carbon nanotubes. Mater. Design. 53, 921–927 (2014)
Liu, C., Du, D., Li, H., Hu, Y., Xu, Y., Tian, J., et al.: Interlaminar failure behavior of GLARE laminates under short-beam three-point-bending load. Compos. B Eng. 97, 361–367 (2016)
Wichmann, M.H.G., Sumfleth, J., Gojny, F.H., Quaresimin, M., Fiedler, B., Schulte, K.: Glass-fibre-reinforced composites with enhanced mechanical and electrical properties—Benefits and limitations of a nanoparticle modified matrix. EnFM. 73(16), 2346–2359 (2006)
Abot, J.L., Song, Y., Schulz, M.J., Shanov, V.N.: Novel carbon nanotube array-reinforced laminated composite materials with higher interlaminar elastic properties. Compos. Sci. Technol. 68(13), 2755–2760 (2008)
Liu, L., Jia, C., He, J., Zhao, F., Fan, D., Xing, L., et al.: Interfacial characterization, control and modification of carbon fiber reinforced polymer composites. Compos. Sci. Technol. 121, 56–72 (2015)
Zhang, H., Liu, Y., Kuwata, M., Bilotti, E., Peijs, T.: Improved fracture toughness and integrated damage sensing capability by spray coated CNTs on carbon fibre prepreg. Compos. A Appl. Sci. Manuf. 70, 102–110 (2015)
Yuan, Y.N., Yao, X.F., Niu, K.M., Liu, B., Wuyun, Q.: Compressive failure of fiber reinforced polymer composites by imperfection. Compos. Part A 118, 106–116 (2019)
Selmy, A.I., Elsesi, A.R., Azab, N.A., Abd El-baky, M.A.: Interlaminar shear behavior of unidirectional glass fiber (U)/random glass fiber (R)/epoxy hybrid and non-hybrid composite laminates. Compos. B 43(4), 1714–1719 (2012)
Liang, Y., Wang, H., Gu, X.: In-plane shear response of unidirectional fiber reinforced and fabric reinforced carbon/epoxy composites. Polym. Test. 32(3), 594–601 (2013)
Van Paepegem, W., De Baere, I., Degrieck, J.: Modelling the nonlinear shear stress–strain response of glass fibre-reinforced composites. Part I: Experimental results. Compos. Sci. Technol. 66(10), 1455–1464 (2006)
He, Y., Makeev, A.: Nonlinear shear behavior and interlaminar shear strength of unidirectional polymer matrix composites: A numerical study. Int. J. Solids Struct. 51(6), 1263–1273 (2014)
Yuan, Y.N., Yao, X.F., Liu, B., Yang, H., Imtiaz, H.: Failure modes and strength prediction of thin ply CFRP angle-ply laminates. Compos. Struct. 176, 729–735 (2017)
Mihai, L.A., Goriely, A.: How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Proc. Math. Phys. Eng. Sci. 473(2207), 20170607 (2017)
Yuan, Y.N., Wang, S., Yang, H., Yao, X.F., Liu, B.: Analysis of pseudo-ductility in thin-ply carbon fiber angle-ply laminates. Compos. Struct. 180, 876–882 (2017)
Sabik, A.: Direct shear stress vs strain relation for fiber reinforced composites. Compos. B Eng. 139, 24–30 (2018)
He, Y., Makeev, A., Shonkwiler, B.: Characterization of nonlinear shear properties for composite materials using digital image correlation and finite element analysis. Compos. Sci. Technol. 73, 64–71 (2012)
Fan, H., Jin, F., Fang, D.: Nonlinear mechanical properties of lattice truss materials. Mater Design. 30(3), 511–517 (2009)
Meng, F., Li, W., Fan, H., Zhou, Y.: A nonlinear theory for CFRP strengthened aluminum beam. CmpSt. 131, 574–577 (2015)
Qiu, Z., Fan, H.: Nonlinear modeling of bamboo fiber reinforced composite materials. CmpSt. 238, 111976 (2020)
Pan, B., Li, K.: A fast digital image correlation method for deformation measurement. OptLE. 49(7), 841–847 (2011)
Yuan, Y.N., Yao, X.F., Liu, B.: Caustic investigation of dynamic interactions between propagating matrix crack and modified fibre bundles. Polym. Test. 68, 287–293 (2018)
Yuan, Y., Wang, S.: Measurement of the energy release rate of compressive failure in composites by combining infrared thermography and digital image correlation. Compos. A Appl. Sci. Manuf. 122, 59–66 (2019)
Ma, Y.J., Yao, X.F., Wang, D.: Experimental investigation on mechanical properties of CNT film using digital speckle correlation method. OptLE. 50(11), 1575–1581 (2012)
Patel, J., Peralta, P.: Mechanisms for Kink Band Evolution in Polymer Matrix Composites: A Digital Image Correlation and Finite Element Study. ASME 2016 International Mechanical Engineering Congress and Exposition American Society of Mechanical Engineers. 2016.
Wang, S., Yao, X.F., Su, Y.Q., Liu, W.: The feasibility and application of gray scale adjustment method in high temperature digital image correlation. MeScT. 28(2), 025201 (2016)
Hao, W., Zhu, J., Zhu, Q., Chen, L., Li, L.: Displacement field denoising for high-temperature digital image correlation using principal component analysis. Mech. Adv. Mater. Struct. 24(10), 830–839 (2017)
Su, Y., Yao, X., Wang, S., Ma, Y.: Refraction error correction for deformation measurement by digital image correlation at elevated temperature. OptEn. 56(3), 034106 (2017)
International Digital Image Correlation Society, Jones, E.M.C., Iadicola, M.A. (Eds.): A Good Practices Guide for Digital Image Correlation. (2018) https://doi.org/10.32720/idics/gpg.ed1.
Committee A. ASTM D2344 Standard test method for short-beam strength of polymer matrix composite materials and their laminates. Consho-hocken, USA: ASTM.
Mobasher, B.: Textile Fiber Composites: Testing and Mechanical Behavior. Textile Fibre Composites in Civil Engineering, pp. 101–150. Woodhead Publishing, Sawston (2016)
Reu, P.: All about speckles: speckle size measurement. ExT. 38(6), 1–2 (2014)
Reu, P.: All about speckles: aliasing. ExT. 38(5), 1–3 (2014)
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The authors are grateful for funding provided by the National Natural Science Foundation of China (Grant Nos. 12002244)
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Yuan, Y., Zhang, Q., Li, X. et al. Effective Method for Measuring Shear Nonlinearity of Nanocomposites Using Digital Image Correlation. J Nondestruct Eval 40, 60 (2021). https://doi.org/10.1007/s10921-021-00790-w
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DOI: https://doi.org/10.1007/s10921-021-00790-w