Crack Detection in Plane Semilinear Elasticity

  • Dang Duc Trong

    National University, Hochiminh City, Vietnam


Let ­Ω\Omega be a two-dimensional semilinear elastic body limited by a known outer boundary Γ\Gamma represented by a Jordan curve and an unknown inner boundary γ\gamma represented by a finite disjoint union of piecewise C1C^1 Jordan curves. Plane stress is considered. We assume that the Lamé coefficient depends on the spacial variables x,yx, y and the displacements u,vu, v. Our main result asserts that γ\gamma is uniquely determined by the displacements and stresses prescribed on an open portion Γ0\Gamma_0 of Γ\Gamma.

Cite this article

Dang Duc Trong, Crack Detection in Plane Semilinear Elasticity. Z. Anal. Anwend. 20 (2001), no. 3, pp. 755–760

DOI 10.4171/ZAA/1043