Zeitschrift für Analysis und ihre Anwendungen 23 (2004), No. 2, 407--422
Copyright Heldermann Verlag 2004
Identification of Cavities in a Three Dimensional Elastic Body
Dang Dinh Ang
Dept. of Mathematics and Computer Science, National University, 227 Nguyen Van Cu, Q5, Hochiminh City, Vietnam
Dang Duc Trong
Dept. of Mathematics and Computer Science, National University, 227 Nguyen Van Cu, Q5, Hochiminh City, Vietnam
ddtrong@mathdep.hcmuns.edu.vn
The authors prove a uniqueness theorem for identifying cavities in a three dimensional elastic body from displacements and stresses measured on a portion of the outer surface. The cavities, finite in number, are assumed to be stress free. The surfaces of the cavities are assumed to be smooth on the complement of a set that is negligible in the sense that its fractal dimension is less than 2.
Keywords: Elastic body, cavity identification, fractal dimension, stress singularity, irregular set of the boundary of cavities.
MSC: 35R30; 35J99
[ Fulltext-pdf (208 KB)] for subscribers only.