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An algorithm for the characterization of surface crack by use of dipole model and magneto-optical non-destructive inspection system

  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
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Abstract

Leakage magnetic flux (LMF) is widely used for non-contact detection of cracks. The combination of optics and LMF offers advantages such as real time inspection, elimination of electrical noise, high spatial resolution, etc. This paper describes a new nondestructive evaluation method based on an original magneto-optical inspection system, which uses a magneto-optical sensor, LMF, and an improved magnetization method. The improved magnetization method has the following characteristics: high observation sensitivity, independence of the crack orientation, and precise transcription of the geometry of a complex crack. The use of vertical magnetization enables the visualization of the length and width of a crack. The inspection system provides the images of the crack, and shows a possibility for the computation of its depth.

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Abbreviations

A1 :

Approximated area where dc and C4 exist

Bs :

Saturated magnetic induction of the MO sensor

B z, base :

Distribution of the magnetic induction in the non-crack area

B z, crack :

Distribution of the magnetic induction in the crack area

C1(δ), C2(δ):

Coefficients used to express I output as a linear equation of H

C3 :

Constant proportional to the base power of detected light from the non-crack area

C4 :

Constant proportional to the permeability of the specimen and m

C 04 :

Initial approximation of C4

dc :

Depth of the crack

d 0c :

Initial approximation of d

E:

Electric field of the light

f3 :

Measured distribution of Output 1

f4 :

Theoretical distribution of the LMF

fsum:

Sum of the squares of differences between f3 and f4

H:

Intensity of the external magnetic field

Hs:

Magnetic field for saturating the MO sensor

HZ :

Vertical component of LMF

IMAX :

Upper limit of the power of detected light

IMIN :

Lower limit of the power of detected light

IOUTPUT :

Intensity of the reflected light from the MO sensor

lc :

Length of the crack

m:

Magnetic charge per unit area

n:

Total number of points equally spaced on the measurement area

r0 :

Radius of the laser spot

wc :

Width of the crack

(x,y,z):

Location of detection

Z0 :

Lift-off

σ:

Angle between the polarization plane and the analyzer

θ s :

Faraday rotation angle

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Correspondence to Jinyi Lee.

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Lee, J., Lyu, S. & Nam, Y. An algorithm for the characterization of surface crack by use of dipole model and magneto-optical non-destructive inspection system. KSME International Journal 14, 1072–1080 (2000). https://doi.org/10.1007/BF03185061

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  • DOI: https://doi.org/10.1007/BF03185061

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