Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2004-06-30
Identification of Cavities in a Three Dimensional Elastic BodyDang Dinh Ang and Dang Duc Trong (1) National University, Hochiminh City, Vietnam
(2) National University, Hochiminh City, Vietnam
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
Ang Dang Dinh, Trong Dang Duc: Identification of Cavities in a Three Dimensional Elastic Body. Z. Anal. Anwend. 23 (2004), 407-422. doi: 10.4171/ZAA/1205