Identification of cavities in a three-dimensional elastic body
type: Item
instance of: scholarly article
title: Identification of cavities in a three-dimensional elastic body
zbMATH Open document ID: 1053.35127
DOI: 10.4171/ZAA/1205
author: Dang Duc Trong
author: Dang Dinh Ang
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2004-11-01T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 2112827
zbMATH Keywords: Lamé equations
zbMATH Keywords: cavities with nonsmooth boundary
zbMATH Keywords: noninvasive testing
zbMATH Keywords: three dimensional elastic body
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/1205
OpenAlex ID: W2009599344
description: scientific article; zbMATH DE number 2112827