Three-Dimensional Solution and Experimental Confirmation for the Electric Resistivity Testing of Surface-Breaking Defects in Green-State Powder Metallurgy Compacts |
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| Authors: | Reinhold Ludwig Sergey Makarov Diran Apelian |
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| Affiliation: | (1) Department of Electrical and Computer Engineering, Worcester Polytechnic Institute, 01609 Worcester, Massachusetts;(2) Metal Processing Institute, Department of Mechanical Engineering, Worcester Polytechnic Institute, 01609 Worcester, Massachusetts |
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| Abstract: | This paper investigates electrostatic voltage distributions around a surface-breaking flaw due to an injected current of known
strength. The direct 3-D solution of the voltage behavior over the flawed surface is obtained numerically by the use of a
boundary integral formulation. A novel iteration method is applied to solve the resulting electrostatic integral equation
for the unknown surface voltage distribution. In addition to investigating the sensitivity of different flaw sizes to the
observed surface voltage distribution, important issues such as suitable probe spacing and current flow orientation are studied.
For sufficiently small surface-breaking flaws, a simple image source model is developed to evaluate the voltage response of
hairline cracks. The model is tested by comparing it with the developed numerical solution. Experiments aimed at establishing
the validity of the modeling approach show remarkable agreement with the theoretical model. |
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| Keywords: | Electric resistivity testing powder metallurgy boundary integral formulation dipole model experimental confirmation |
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