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Zeitschrift für Analysis und ihre Anwendungen


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Volume 20, Issue 3, 2001, pp. 755–760
DOI: 10.4171/ZAA/1043

Published online: 2001-09-30

Crack Detection in Plane Semilinear Elasticity

Dang Duc Trong[1]

(1) National University, Hochiminh City, Vietnam

Let ­$\Omega$ be a two-dimensional semilinear elastic body limited by a known outer boundary $\Gamma$ represented by a Jordan curve and an unknown inner boundary $\gamma$ represented by a finite disjoint union of piecewise $C^1$ Jordan curves. Plane stress is considered. We assume that the Lamé coefficient depends on the spacial variables $x, y$ and the displacements $u, v$. Our main result asserts that $\gamma$ is uniquely determined by the displacements and stresses prescribed on an open portion $\Gamma_0$ of $\Gamma$.

Keywords: Crack detection, Lamé coefficient, plane stress, semilinear elastic body

Trong Dang Duc: Crack Detection in Plane Semilinear Elasticity. Z. Anal. Anwend. 20 (2001), 755-760. doi: 10.4171/ZAA/1043