Composite Material Characterization using Eddy Current by 3D FEM Associated with Iterative Technique
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Abstract
In this paper, an iterative technique, employing the T formulation associated with the finite element method, based on Maxwell's equations and the Biot-savart law, is used for analyzing the density of eddy currents in composite carbon fiber reinforced polymer (CFRP) materials. For this purpose, a code has been developed for solving an electromagnetic 3D non-destructive evaluation problem. This latter permits the characterization of this CFRP and determinate of fibers orientation using the impedance variation which is implanted in polar diagram. Firstly, the obtained results are compared with those of the analytical model. This comparison reveals a high concordance which proves the validity of the proposed method. Secondly, three different applications are shown for illustrating the characterization of unidirectional, bidirectional and multidirectional piece using a rectangular coil plotted in normalized impedance diagram.
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References
R. R. Hughes, B. W. Drinkwater, R.A.Smith Characteriza-tion of carbon fiber-reinforced polymer composites through radon-transform analysis of complex eddy-current data, Elsever, Composites Part B 148, pp 252–259, 2018
M. Bowkett and K. Thanapalan, Comparative analysis of failure detection methods of composites materials systems, systems science & control engineering, Vol.5, pp.168-177,Taylor&Francis,(2017).
J. Cheng, H. Ji, J. Qiu, T. Takagi, T. Uchimoto and N. Hu, Novel electromagnetic modeling approach of carbon fiber-reinforced polymer laminate for calculation of eddy currents and eddy current testing signals, Journal of Composite Materials, (2014).
D. Berger and G. Lanza, Development and Application of Eddy Current Sensor Arrays for Process Integrated Inspection of Carbon Fibre Preforms, J. Sensors, Vol.18, Iss (4) , (2017).
N.R.F. Rohem, L.J. Pacheco, S. Budhe, M.D. Banea, E.M. Sampaio, S. de Barros, Development and qualification of a new polymeric matrix laminated composite for pipe repair, Composite Structures. Vol. 152, pp. 737–745, (2016).
A. Bouloudenine, M. Feliachi, M. El Hadi Latreche, Development of circular arrayed eddy current sensor for detecting fibers orientation and in-plane fiber waviness in unidirectional CFRP, NDT and E International Vol 92 pp 30–37, 2017.
J. Cheng, Ji. Qiu, H, Ji, E. Wang, T. Takagi, T. Uchimoto, Application of low frequency ECT method in noncontact detection and visualization of CFRP material, Composites Part B 110, pp 141-152, 2017.
Y .Wuliang, J. Ph. Withers, U. Sharma, and Anthony J. Peyton, Noncontact Characterization of Carbon-Fiber-Reinforced Plastics Using Multifrequency Eddy Current Sensors, IEEE transactions on instrumentation and measurement, Vol 58, 2009.
H. Menana, M. Féliachi, Modeling the response of a rotating eddy current sensor for the characterization of carbon fiber reinforced composites, The European Physical Journal Applied Physics Vol 52, 2010.
D. D. L. Chung, Structural health monitoring by electrical resistance measurement, Smart Mater. Struct. Vol 10, pp 624-636, 2001.
J. B. Park, T. K. Hwang, H. G. Kim and Y. D. Doh, Experimental and numerical study of the electrical anisotropy in unidirectional carbon-fiber-reinforced polymer composites, Smart Mater. Struct, Vol 16, pp 57-66, 2007.
R. Grimberg, A. Savin, R. Steigmann, A. Bruma, Eddy current examination of carbon fibres in carbon-epoxy composites and kevlar, The 8th International Conference of the Slovenian Society for Non-Destructive Testing, pp. 223-228, 2005, Portorož, Slovenia.
T. Takagi, T. Sugiura, K. Miyata, S Norimatsu, K Okamura and K Miya, Iterative solution technique for 3-D eddy current analysis using T-method, IEEE Transactions on Magnetics, Vol 24, pp 2682-2684 1988.
T. Takagi, M. Hashimoto, S. Arita, S. Norimatsu, T. Sugiura, K. Miya, Experimental Verification of 3D Eddy Current Analysis Code using T-Method, IEEE Transactions on Magnetics, Vol 26, pp 474-477, 1990.
H. Menana, M. Feliachi, 3-D eddy current computation in carbon-fiber reinforced composites, IEEE Transactions on Magnetics, Vol 45, pp 1008-1011, 2009.
Yue. Li, G. Berthiau, M. Feliachi, and Ahmed Cheriet, 3D Finite, Volume Modeling of ENDE Using Electromagnetic T –Formulation, Hindawi Publishing Corporation Journal of Sensors, Volume 2012, Article ID 785271.
S. K. Burke, Eddy-current induction in a uniaxially anisotropic plate, Journal of Applied Physics, vol. 68, pp 3080-3090, 1990.
C. Geuzaine, J.F. Remacle., "Gmsh Reference Manual; A finite element mesh generator with built-in pre- and post-processing facilities," Edition 1.19, www.geuz.org/gmsh, 2 April 2004.
S. B. Pratap, and W. F. Weldon, Eddy current in anisotropic composites applied to pulsed machinery, IEEE Transactions on Magnetics, Vol 32, pp 437-444, 1996.
John R. Bowler, L. David Sabbagh, Harold A. Sabbagh, "A theoretical and computational model of eddy-current probes incorporating volume integral and conjugate gradient methods", IEEE Trans. on Magnetics, Vol 25, pp. 2650-2664, 1989.
S. K. Burke and L. R. F Rose, Eddy-current NDI of cracks in thin plates, Journal of Applied Physics, Vol 20, pp 797-800, 1987.