Title
Stable Determination of a Rigid Inclusion in an Anisotropic Elastic Plate.
Abstract
In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of the plate. The plate is made by non-homogeneous linearly elastic material belonging to a general class of anisotropy. For this severely ill-posed problem, under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a stability estimate of log-log type.
Year
DOI
Venue
2012
10.1137/110852073
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
inverse problems,elastic plates,stability estimates,unique continuation,rigid inclusion
Mathematical optimization,Anisotropy,Mathematical analysis,A priori and a posteriori,Transversal (geometry),Inverse problem,Directional derivative,Elasticity (economics),Mathematics
Journal
Volume
Issue
ISSN
44
3
0036-1410
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Antonino Morassi142.91
Edi Rosset293.93
Sergio Vessella3124.98