Constitutive compatibility based identification of spatially varying elastic parameters distributions
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Ali Moussawi Dissertation
Type
DissertationAuthors
Moussawi, Ali
Advisors
Lubineau, Gilles
Committee members
Claudel, Christian G.
Thoroddsen, Sigurdur T

Florentin, Eric
Levesque, Martin
Ruiz, Pablo
Program
Mechanical EngineeringKAUST Department
Physical Science and Engineering (PSE) DivisionDate
2014-12Embargo End Date
2015-02-18Permanent link to this record
http://hdl.handle.net/10754/344789
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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 problemsCitation
Moussawi, A. (2014). Constitutive compatibility based identification of spatially varying elastic parameters distributions. KAUST Research Repository. https://doi.org/10.25781/KAUST-RX12Oae974a485f413a2113503eed53cd6c53
10.25781/KAUST-RX12O