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Identification of elastic inclusions and elastic moment tensors by boundary measurements

Title
Identification of elastic inclusions and elastic moment tensors by boundary measurements
Authors
Kang H.Kim E.Lee J.-Y.
Ewha Authors
이준엽
SCOPUS Author ID
이준엽scopus
Issue Date
2003
Journal Title
Inverse Problems
ISSN
0266-5611JCR Link
Citation
vol. 19, no. 3, pp. 703 - 724
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We consider the problem of identifying unknown inclusions inside an elastic body by means of traction - displacement relations measured on the boundary. Based on the asymptotic formula of Amman et al (2003 J. Elast, at press), we propose an algorithm to reconstruct unknown inclusions. The algorithm of this paper detects the location and the elastic moment tensors (elastic Pólya - Szegö tensors) of the inclusion. Since the elastic moment tensors carry information on the size of the inclusion, we can represent the inclusion in two dimensions by a disc of the detected size with the detected centre. We also propose an algorithm to find an ellipse which represents the elastic moment tensors. For this purpose, we explicitly compute elastic moment tensors associated with ellipses. Several results of numerical experiments are presented. We emphasize that only shear stresses are used for the reconstruction of the inclusion: linear traction to detect elastic moment tensors and quadratic polynomials to detect the location.
DOI
10.1088/0266-5611/19/3/314
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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