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    A 3D domain decomposition approach for the identification of spatially varying elastic material parameters

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    Type
    Article
    Authors
    Moussawi, Ali cc
    Lubineau, Gilles cc
    Xu, Jiangping
    Pan, Bing
    KAUST Department
    Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2015-02-24
    Online Publication Date
    2015-02-24
    Print Publication Date
    2015-05-18
    Permanent link to this record
    http://hdl.handle.net/10754/564066
    
    Metadata
    Show full item record
    Abstract
    Summary: The post-treatment of (3D) displacement fields for the identification of spatially varying elastic material parameters is a large inverse problem that remains out of reach for massive 3D structures. We explore here the potential of the constitutive compatibility method for tackling such an inverse problem, provided an appropriate domain decomposition technique is introduced. In the method described here, the statically admissible stress field that can be related through the known constitutive symmetry to the kinematic observations is sought through minimization of an objective function, which measures the violation of constitutive compatibility. After this stress reconstruction, the local material parameters are identified with the given kinematic observations using the constitutive equation. Here, we first adapt this method to solve 3D identification problems and then implement it within a domain decomposition framework which allows for reduced computational load when handling larger problems.
    Citation
    Moussawi, A., Lubineau, G., Xu, J., & Pan, B. (2015). A 3D domain decomposition approach for the identification of spatially varying elastic material parameters. International Journal for Numerical Methods in Engineering, 102(7), 1431–1448. doi:10.1002/nme.4853
    Sponsors
    This work has been supported by KAUST baseline and competitive funding.
    Publisher
    Wiley
    Journal
    International Journal for Numerical Methods in Engineering
    DOI
    10.1002/nme.4853
    ae974a485f413a2113503eed53cd6c53
    10.1002/nme.4853
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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