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    Constitutive compatibility based identification of spatially varying elastic parameters distributions

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    AilMoussawiThesis.pdf
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    6.114Mb
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    Description:
    Ali Moussawi Dissertation
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    Type
    Dissertation
    Authors
    Moussawi, Ali cc
    Advisors
    Lubineau, Gilles cc
    Committee members
    Claudel, Christian G. cc
    Thoroddsen, Sigurdur T cc
    Florentin, Eric
    Levesque, Martin
    Ruiz, Pablo
    Program
    Mechanical Engineering
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Date
    2014-12
    Embargo End Date
    2015-02-18
    Permanent link to this record
    http://hdl.handle.net/10754/344789
    
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    Access Restrictions
    At the time of archiving, the student author of this dissertation opted to temporarily restrict access to it. The full text of this dissertation became available to the public after the expiration of the embargo on 2015-02-18.
    Abstract
    The experimental identification of mechanical properties is crucial in mechanics for understanding material behavior and for the development of numerical models. Classical identification procedures employ standard shaped specimens, assume that the mechanical fields in the object are homogeneous, and recover global properties. Thus, multiple tests are required for full characterization of a heterogeneous object, leading to a time consuming and costly process. The development of non-contact, full-field measurement techniques from which complex kinematic fields can be recorded has opened the door to a new way of thinking. From the identification point of view, suitable methods can be used to process these complex kinematic fields in order to recover multiple spatially varying parameters through one test or a few tests. The requirement is the development of identification techniques that can process these complex experimental data. This thesis introduces a novel identification technique called the constitutive compatibility method. The key idea is to define stresses as compatible with the observed kinematic field through the chosen class of constitutive equation, making possible the uncoupling of the identification of stress from the identification of the material parameters. This uncoupling leads to parametrized solutions in cases where 5 the solution is non-unique (due to unknown traction boundary conditions) as demonstrated on 2D numerical examples. First the theory is outlined and the method is demonstrated in 2D applications. Second, the method is implemented within a domain decomposition framework in order to reduce the cost for processing very large problems. Finally, it is extended to 3D numerical examples. Promising results are shown for 2D and 3D problems
    Citation
    Moussawi, A. (2014). Constitutive compatibility based identification of spatially varying elastic parameters distributions. KAUST Research Repository. https://doi.org/10.25781/KAUST-RX12O
    DOI
    10.25781/KAUST-RX12O
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-RX12O
    Scopus Count
    Collections
    PhD Dissertations; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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