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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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.
Batchelor, G. K. (1967), An Introduction to Fluid Dynamics, 2nd edn., Cambridge University Press, Cambridge, p. 615.
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.
Erdogan, F. and Gupta, G. D. (1972), On the numerical solution of singular integral equations, Quart. Appl. Math., 29, 525–534.
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.
Futayama, Y. and Kamata, H. (1979), Study on pipe inside-crack growth monitor by electric resistance method, J. Japan Welding Soc., 48, 820–824.
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.
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.
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.
Miyshi, T. and Nakano, S. (1986), A study of determination of surface crack shape by the electric potential method, Trans. JSME, 52, 1097–1104.
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.
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.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Abé, H., Kanoh, Y. (1990). An Inverse Problem in Nondestructive Inspection of a Crack in a Plate with an Inhomogeneity by Means of the Electrical Potential Method. In: Weng, G.J., Taya, M., Abé, H. (eds) Micromechanics and Inhomogeneity. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8919-4_1
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8919-4_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8921-7
Online ISBN: 978-1-4613-8919-4
eBook Packages: Springer Book Archive