Abstract
The presence of small amounts of short conductive fibers in a composite of finite matrix conductivity results in the subdivision of the one matrix impedance arc into two separate low and high frequency arcs in the complex impedance plane. These features are attributable to a “frequency-switchable” interfacial impedance on the fiber surfaces, rendering them insulating at DC and low AC frequencies, but conducting at intermediate frequencies. A combination of physical simulations (single wires in tap water) and pixel-based computer modeling was employed to investigate the roles of fiber pull-out, debonding, and orientation on the impedance response of fiber-reinforced composites. The ratio of the low frequency arc size to the overall DC resistance (γ-parameter) is sensitive to pull-out and/or debonding, especially when a fiber just barely makes contact with the matrix. The γ-parameter is also quite sensitive to fiber orientation with respect to the direction of the applied field. Ramifications for the characterization of cement, ceramic, and polymer matrix composites are discussed.
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References
J. F. Douglas and E. J. Garboczi, Adv.Chem.Phys. 91 (1995) 85.
R. Zallen, “The Physics of Amorphous Solids” (Wiley, New York, 1983) pp. 135–204.
D. S. Mclachlan, M. Blaszkiewicz and R. E. Newham, J.Am.Ceram.Soc. 73 (1990) 2187.
N. Muto, H. Yanagida, T. Nakatsuji, M. Sugita and Y. Ohtsuka, J.Am.Ceram.Soc. 76 (1993) 875.
X. Wang and D. D. L. Chung, Smart Mater.Struc. 6 (1997) 504.
D. D. L. Chung, Mat.Sci.Eng. R 22 (1998) 57.
A. Rocha and A. Acrivos, Q.J.Mech.Appl.Math. 26 (1973) 441.
G. H. Fredrickson and E. S. G. Shaqfeh, Phys.Fluids A 1 (1989) 3.
M. B. Mackaplow, E. S. G. Shaqfeh, and R. L. Shiek, Proc.Royal.Soc.Lond. A 447 (1994) 77.
R. R. Sundararajakumar and D. L. Koch, ibid. A 455 (1999) 1923.
A. Rocha and A. Acrivos, ibid. A 337 (1974) 123.
X. Wang and D. D. L. Chung, Sensors and Actuators A 71 (1998) 208.
P.-W. Chen and D. D. L. Chung, J.Am.Ceram.Soc. 78 (1995) 816.
Idem., ACI Mat.J. 93 (1996) 341.
S. Wang and D. D. L. Chung, Smart Mater.Struc. 6 (1997) 199.
X. Wang and D. D. Chung, Carbon 35 (1997) 1649.
H. Fricke, J.Phys.Chem. 57 (1953) 934.
N. Bonanos, B. C. H. Steele, E. P. Butler, W. B. Johnson, W. L. Worrell, D. D. Macdonald and M. C. H. Mckubre, in “Impedance Spectroscopy: Emphasizing Solid Materials and Systems,” edited by J. R. Macdonald (Wiley, New York, 1987) p. 191.
D. G. Han and G. M. Choi, Electrochim.Acta 44 (1999) 4145.
P. Gu, Z. Xu, P. Xie and J. J. Beaudoin, Cem.Concr. Res. 23 (1993) 675.
S. J. Ford, J. D. Shane and T. O. Mason, ibid. 28 (1998) 1737.
X. Fu, E. Ma., D. D. L. Chung and W. A. Anderson, Cem.Concr.Res. 27 (1997) 845.
R. Gerhardt, Proc.Cer.Eng.Sci. 15 (1994) 1174.
C.-A. Wang, Y. Huang, Y. Li and Z. Zhang, J.Am. Ceram.Soc. 83 (2000) 2689.
D. Kaushik, M. N. Alias and R. Brown, Corrosion 47 (1991) 859.
J. M. Torrents, T. O. Mason and E. J. Garboczi, Cem.Concr.Res. 30 (2000) 585.
B. A. Boukamp, “Equivalent Circuit (EQUIVCRT.PAS),” Dept. of Chemical Engineering, University of Twente, The Netherlands (1990).
E. J. Garboczi, “Finite element and finite difference programs for computing the linear electric and elastic properties of digital images of random materials,” NIST Internal Report 6269 (1998). Also available at http://ciks.cbt.nist.gov/garboczi/, Chap. 2.
R. Holm, Electric Contacts: Theory and Application” (Springer-Verlag, New York, 1967).
J. Newman, J.Electrochem.Soc. 113 (1966) 501.
X. Fu and D. D. L. Chung, ACI Mater.J. 94 (1997) 203.
S. J. Ford and T. O. Mason, in “Techniques to Assess the Corrosion Activity of Steel Reinforced Concrete Structures,” edited by N. S. Burke, E. Escalante, C. K. Nmai and David Whiting, ASTM STP 1276 (1995).
D. S. Mclachlan, J.-H. Hwang and T. O. Mason, J.Electroceramics 5 (2000) 37.
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Torrents, J.M., Mason, T.O., Peled, A. et al. Analysis of the impedance spectra of short conductive fiber-reinforced composites. Journal of Materials Science 36, 4003–4012 (2001). https://doi.org/10.1023/A:1017986608910
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DOI: https://doi.org/10.1023/A:1017986608910