The enclosure method for an inverse problem arising from a spot welding

A two dimensional version of a reconstruction problem of an unknown weld on the interface between two electric conductive plates is considered. It is assumed that the two plates have a same known isotropic homogeneous conductivity, and the line where the welding area is located is known. Under these...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2016-09, Vol.39 (13), p.3565-3575
Main Authors: Ikehata, Masaru, Itou, Hiromichi, Sasamoto, Akira
Format: Article
Language:English
Subjects:
Electric potential
enclosure method
Extraction
inverse boundary value problem
Inverse problems
Laplace equation
Plates
Quality assessment
Reconstruction
Spot welding
Tips
Welding
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Summary:A two dimensional version of a reconstruction problem of an unknown weld on the interface between two electric conductive plates is considered. It is assumed that the two plates have a same known isotropic homogeneous conductivity, and the line where the welding area is located is known. Under these assumptions, an explicit extraction formula of the location of the tips of the welding area on the line from a single set of an electric current density and the corresponding voltage potential on the boundary of the material formed by the plates is given. This result may have possibility of application to quality evaluation of spot welding fixation strength of a lamina. Copyright © 2015 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3799