Identification of cavities in a three-dimensional elastic body (Q1884387)

Summary: 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. This paper is a direct extension of the authors' paper [ibid. 19, 103--120 (2000; Zbl 0967.35155)].