An Inverse Problem in Nondestructive Inspection of a Crack in a Plate with an Inhomogeneity by Means of the Electrical Potential Method

  • Hiroyuki Abé
  • Yutaka Kanoh

Abstract

A method was presented for the nondestructive evaluation of a crack on the back wall of an infinite strip having an inhomogeneity. The weldment is a typical inhomogeneous region as far as the electrical resistivity is concerned. The method was based on the distribution of d.c. electrical potential. The inhomogeneity problem was solved to determine the location, size, and inclination of the crack in the following way. First, a homogeneity problem was solved for a cracked strip, where the crack was modeled as a continuous distribution of singularities of the electrical potential. Next, the potential difference distribution was found for a plate without crack. By combining these two results, the crack geometry in the inhomogeneous strip was determined.

Application examples showed agreement between the evaluation and the actual crack observed in the weldment, and verified the applicability of the present method.

Keywords

Electrical Resistivity Stress Corrosion Crack Nondestructive Inspection Potential Distribution Current Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abé, H., Saka, M., Wachi, T., and Kanoh, Y. (1988), An inverse problem in nondestructive inspection of a crack in a hollow cylinder by means of the electrical potential method, Computational Mechanics ‘88, 1, 12.ií.2–12.ií.4.Google Scholar
  2. Batchelor, G. K. (1967), An Introduction to Fluid Dynamics, 2nd edn., Cambridge University Press, Cambridge, p. 615.MATHGoogle Scholar
  3. Clark, G. and Knott, F. (1975), Measurement of fatigue cracks in notched specimen by means of theoretical electrical potential calibrations, J. Mech. Phys. Solids, 23, 265–276.ADSCrossRefGoogle Scholar
  4. Erdogan, F. and Gupta, G. D. (1972), On the numerical solution of singular integral equations, Quart. Appl. Math., 29, 525–534.MathSciNetMATHGoogle Scholar
  5. Fujino, K., Sekine, H., and Abé, H. (1984), Analysis of an edge crack in a semi-infinite composite with a long reinforced phase, Int. J. Fract., 25, 81–94.CrossRefGoogle Scholar
  6. Futayama, Y. and Kamata, H. (1979), Study on pipe inside-crack growth monitor by electric resistance method, J. Japan Welding Soc., 48, 820–824.CrossRefGoogle Scholar
  7. Hayashi, M., Ohtaka, M., Enomoto, K., Sasaki, T., and Kikuchi, T. (1986), Detection of configuration of surface fatigue crack in inside of stainless steel pipe by DC potential drop method, J. Soc. Mats. Sci., Japan, 35, 936–941.Google Scholar
  8. Kanoh, Y. and Abé, H. (1989), A DC electrical potential method for discrimination and sizing of an embedded crack and a surface crack on the back wall, Trans. JSME,in press.Google Scholar
  9. Kubo, S., Sakagami, T., Ohji, K., Hashimoto, T., and Matsumuro, Y. (1988), Quantitative measurement of three-dimensional surface crack by the electrical potential CT method, Trans. JSME, 54, 218–225.CrossRefGoogle Scholar
  10. Miyshi, T. and Nakano, S. (1986), A study of determination of surface crack shape by the electric potential method, Trans. JSME, 52, 1097–1104.CrossRefGoogle Scholar
  11. Powell m. J. D. (1964), An efficient method for finding the minimum of function of several variables without calculation derivatives, Comput. J., 7, 155–162.MathSciNetMATHCrossRefGoogle Scholar
  12. Prater, T. A., Catlin, W. R., and Coffin, L. F. (1985), Application of the reversing DC electrical potential technique to monitoring crack growth in pipes, Proceedings of the Second International Atomic Energy Agency Specialist’s Meeting on Subcritical Crack Growth, Sendai, Japan.Google Scholar
  13. Saka, M. and Abé, H. (1983), A path-independent integral for 2-dimensional cracks in homogeneous isotropic conductive plate, Int. J. Engng. Sci., 21, 1451–1457.MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Hiroyuki Abé
    • 1
  • Yutaka Kanoh
    • 1
  1. 1.Department of Mechanical EngineeringTohoku UniversitySendai 980Japan

Personalised recommendations