Abstract
The principal strains at the microscale are the key parameters for evaluating the instability behaviors of materials. In this study, we developed a technique to acquire the full-field distributions of the principal strains and their orientations by integrating the scanning moiré method and the theoretical analysis of strain status. The normal strains in two perpendicular directions were first measured using the SEM scanning moiré fringes. The principal strains with orientations were then determined based on the analysis of strain status for plane stress problems. In this study, the maximum and the minimum principal strains and their orientations of carbon fiber reinforced plastics under a three-point bending test were measured. The maximum principal strain is greatest in the bottom-left region and the absolute value of the minimum principal strain is greatest in the upper-right region of this specimen. This technique is independent of the specimen grating direction and is useful to detect the potential failure characteristics of various composite materials.
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References
Naito, K., Yang, J.M., Kagawa, Y.: Tensile properties of high strength polyacrylonitrile (PAN)-based and high modulus pitch-based hybrid carbon fibers-reinforced epoxy matrix composite. J. Mater. Sci. 47(6), 2743–2751 (2012)
Kishimoto, S., Egashira, M., Shinya, N.: Microcreep deformation measurements by a moiré method using electron beam lithography and electron beam scan. Opt. Eng. 32(3), 522–526 (1993)
Ri, S., Muramatsu, T., Saka, M., Nanbara, K., Kobayashi, D.: Accuracy of the sampling moiré method and its application to deflection measurements of large-scale structures. Exp. Mech. 52(4), 331–340 (2012)
Wang, Q.H., Tsuda, H., Xie, H.M.: Developments and applications of moiré techniques for deformation measurement, structure characterization. Recent Pat. Mater. Sci. 8(3), 188–207 (2015)
Post, A., Han, B., Ifju, P.: [High Sensitivity Moiré: Experimental Analysis for Mechanics and Materials]. Springer, New York (2012)
Jin, H., Haldar, S., Bruck, H.A., Lu, W.Y.: Grid method for microscale discontinuous deformation measurement. Exp. Mech. 51(4), 565–574 (2011)
Liu, Z.W., Xie, H.M., Gu, C.Z., Meng, Y.G.: Digital geometric phase technique applied to deformation evaluation of MEMS devices. J. Micromech. Microeng. 19(1), 015012 (2009)
Wang, Q.H., Kishimoto, S., Xie, H.M., Liu, Z.W., Lou, X.H.: In situ high temperature creep deformation of micro-structure with metal film wire on flexible membrane using geometric phase analysis. Microelectron. Reliab. 53(4), 652–657 (2013)
Hu, Z.X., Xie, H.M., Lu, J., Hua, T., Zhu, J.G.: Study of the performance of different subpixel image correlation methods in 3D digital image correlation. Appl. Opt. 49(21), 4044–4051 (2010)
Erf, R. (ed.) Speckle Metrology. Elsevier, London (2012)
Ri, S., Muramatsu, T.: Theoretical error analysis of the sampling moiré method and phase compensation methodology for single-shot phase analysis. Appl. Opt. 51(16), 3214–3223 (2012)
Wang, Q.H., Kishimoto, S., Yamauchi, Y.: Three-directional structural characterization of hexagonal packed nanoparticles by hexagonal digital Moiré method. Opt. Lett. 37(4), 548–550 (2012)
Wang, Q.H., Kishimoto, S.: Simultaneous analysis of residual stress and stress intensity factor in a resist after UV-nanoimprint lithography based on electron moiré fringes. J Micromech. Microeng. 22(10), 105021 (2012)
Kishimoto, S.: Electron moiré method. Theor. Appl. Mech. Lett. 2(1), 011001 (2012)
Wang, Q.H., Kishimoto, S., Jiang, X.F., Yamauchi, Y.: Formation of secondary moiré patterns for characterization of nanoporous alumina structures in multiple domains with different orientations. Nanoscale 5(6), 2285–2289 (2013)
Li, C.W., Liu, Z.W., Xie, H.M., Wu, D.: Statistics-based electron moiré technique: a novel method applied to the characterization of mesoporous structures. Nanoscale 6(22), 13409–13415 (2014)
Wang, Q.H., Ri, S., Tsuda, H., Kishimoto, S., Tanaka, Y., Kagawa, Y.: Deformation measurement of carbon fiber reinforced plastics using phase-shifting scanning electron microscope moiré method after Fourier transform. In: Proc. SPIE icOPEN 2015, 9524-43 (2015)
Kondo, Y., Okunishi, E.: Magnified pseudo-elemental map of atomic column obtained by Moiré method in scanning transmission electron microscopy. Microscopy 63(5), 391–395 (2014)
Xie, H.M., Wang, Q.H., Kishimoto, S., Dai, F.L.: Characterization of planar periodic structure using inverse laser scanning confocal microscopy moiré method and its application in the structure of butterfly wing. J. Appl. Phys. 101(10), 103511 (2007)
Hibbeler, R.C.: Statics and Mechanics of Materials. Pearson Higher Ed. (2013)
Acknowledgements
The authors acknowledge the financial support from Cross-ministerial Strategic Innovation Promotion Program—Unit D66—Innovative measurement and analysis for structural materials (SIP-IMASM) operated by the cabinet office, Japan. The authors are also grateful to Drs. Satoshi KISHIMOTO, Yoshihisa TANAKA and Kimiyoshi NAITO in NIMS for their kind assistance during experiments.
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Wang, Q., Ri, S., Takashita, Y., Ogihara, S. (2017). Full-Field Measurements of Principal Strains and Orientations Using Moiré Fringes. In: Yoshida, S., Lamberti, L., Sciammarella, C. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-41600-7_33
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DOI: https://doi.org/10.1007/978-3-319-41600-7_33
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