NDLI: Inverse material identification in coupled acoustic-structure interaction using a modified error in constitutive equation functional

Content Provider	Springer Nature Link
Author	Warner, James E. Diaz, Manuel I. Aqui, Wilkins Bonnet, Marc
Copyright Year	2014
Abstract	This work focuses on the identification of heterogeneous linear elastic moduli in the context of frequency-domain, coupled acoustic-structure interaction (ASI), using either solid displacement or fluid pressure measurement data. The approach postulates the inverse problem as an optimization problem where the solution is obtained by minimizing a modified error in constitutive equation (MECE) functional. The latter measures the discrepancy in the constitutive equations that connect kinematically admissible strains and dynamically admissible stresses, while incorporating the measurement data as additional quadratic error terms. We demonstrate two strategies for selecting the MECE weighting coefficient to produce regularized solutions to the ill-posed identification problem: 1) the discrepancy principle of Morozov, and 2) an error-balance approach that selects the weight parameter as the minimizer of another functional involving the ECE and the data misfit. Numerical results demonstrate that the proposed methodology can successfully recover elastic parameters in 2D and 3D ASI systems from response measurements taken in either the solid or fluid subdomains. Furthermore, both regularization strategies are shown to produce accurate reconstructions when the measurement data is polluted with noise. The discrepancy principle is shown to produce nearly optimal solutions, while the error-balance approach, although not optimal, remains effective and does not need a priori information on the noise level.
Starting Page	645
Ending Page	659
Page Count	15
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	54
Issue Number	3
e-ISSN	14320924
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-04-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Parameter estimation Acoustic-structure interaction Error in constitutive equation Inverse problem Theoretical and Applied Mechanics Computational Science and Engineering Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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