Ar. Elcrat et Cl. Hu, DETERMINATION OF SURFACE AND INTERIOR CRACKS FROM ELECTROSTATIC MEASUREMENTS USING SCHWARZ-CHRISTOFFEL TRANSFORMATIONS, International journal of engineering science, 34(10), 1996, pp. 1165-1181
A crack detection algorithm using the Schwarz-Christoffel transformati
on is presented. The method uses practically feasible electrostatic me
asurements. After describing how a relevant direct boundary value prob
lem can be efficiently solved with conformal maps, the idea of our num
erical method for crack detection is explained in terms of a resistor
trimming problem. Various surface and interior crack detection problem
s are then formulated as generalized Schwarz-Christoffel parameter pro
blems. A number of computed examples are presented. Copyright (C) 1996
Elsevier Science Ltd