Global stability for an inverse problem in soil-structure interaction

We consider the inverse problem of determining the Winkler subgrade reaction coefficient of a slab foundation modelled as a thin elastic plate clamped at the boundary. The plate is loaded by a concentrated force and its transversal deflection is measured at the interior points. We prove a global Höl...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2015-07, Vol.471 (2179), p.20150117-20150117
Main Authors: Alessandrini, G., Morassi, A., Rosset, E., Vessella, S.
Format: Article
Language:English
Subjects:
Elastic Plate
Hölder Stability
Inverse Problems
Winkler Soil-Foundation Interaction
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Summary:We consider the inverse problem of determining the Winkler subgrade reaction coefficient of a slab foundation modelled as a thin elastic plate clamped at the boundary. The plate is loaded by a concentrated force and its transversal deflection is measured at the interior points. We prove a global Hölder stability estimate under (mild) regularity assumptions on the unknown coefficient.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2015.0117