Let be a two-dimensional semilinear elastic body limited by a known outer boundary represented by a Jordan curve and an unknown inner boundary represented by a finite disjoint union of piecewise Jordan curves. Plane stress is considered. We assume that the Lamé coefficient depends on the spacial variables and the displacements . Our main result asserts that is uniquely determined by the displacements and stresses prescribed on an open portion of .
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Dang Duc Trong, Crack Detection in Plane Semilinear Elasticity. Z. Anal. Anwend. 20 (2001), no. 3, pp. 755–760DOI 10.4171/ZAA/1043