Constitutive compatibility based identification of spatially varying elastic parameters distributions

Handle URI:
http://hdl.handle.net/10754/344789
Title:
Constitutive compatibility based identification of spatially varying elastic parameters distributions
Authors:
Moussawi, Ali ( 0000-0002-5978-7990 )
Abstract:
The experimental identication of mechanical properties is crucial in mechanics for understanding material behavior and for the development of numerical models. Classical identi cation procedures employ standard shaped specimens, assume that the mechanical elds 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- eld measurement techniques from which complex kinematic elds can be recorded has opened the door to a new way of thinking. From the identi cation point of view, suitable methods can be used to process these complex kinematic elds in order to recover multiple spatially varying parameters through one test or a few tests. The requirement is the development of identi cation techniques that can process these complex experimental data. This thesis introduces a novel identi cation technique called the constitutive compatibility method. The key idea is to de ne stresses as compatible with the observed kinematic eld through the chosen class of constitutive equation, making possible the uncoupling of the identi cation of stress from the identi cation 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.
Advisors:
Lubineau, Gilles ( 0000-0002-7370-6093 )
Committee Member:
Claudel, Christian ( 0000-0003-0702-6548 ) ; Thoroddsen, Sigurdur T ( 0000-0001-6997-4311 ) ; Florentin, Eric; Levesque, Martin; Ruiz, Pablo
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Program:
Mechanical Engineering
Issue Date:
Dec-2014
Type:
Dissertation
Appears in Collections:
Dissertations; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.advisorLubineau, Gillesen
dc.contributor.authorMoussawi, Alien
dc.date.accessioned2015-02-23T06:45:52Zen
dc.date.available2015-02-23T06:45:52Zen
dc.date.issued2014-12en
dc.identifier.urihttp://hdl.handle.net/10754/344789en
dc.description.abstractThe experimental identication of mechanical properties is crucial in mechanics for understanding material behavior and for the development of numerical models. Classical identi cation procedures employ standard shaped specimens, assume that the mechanical elds 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- eld measurement techniques from which complex kinematic elds can be recorded has opened the door to a new way of thinking. From the identi cation point of view, suitable methods can be used to process these complex kinematic elds in order to recover multiple spatially varying parameters through one test or a few tests. The requirement is the development of identi cation techniques that can process these complex experimental data. This thesis introduces a novel identi cation technique called the constitutive compatibility method. The key idea is to de ne stresses as compatible with the observed kinematic eld through the chosen class of constitutive equation, making possible the uncoupling of the identi cation of stress from the identi cation 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.en
dc.language.isoenen
dc.subjectInverse Problemen
dc.subjectIdentificationen
dc.subjectFull-Field Measurmenten
dc.subjectSpectral Decompositionen
dc.subjectConstitutive Relation Erroren
dc.subjectConstitutive Compatibility Methoden
dc.subjectDomain Decompositionen
dc.titleConstitutive compatibility based identification of spatially varying elastic parameters distributionsen
dc.typeDissertationen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberClaudel, Christianen
dc.contributor.committeememberThoroddsen, Sigurdur Ten
dc.contributor.committeememberFlorentin, Ericen
dc.contributor.committeememberLevesque, Martinen
dc.contributor.committeememberRuiz, Pabloen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.nameDoctor of Philosophyen
dc.person.id101845en
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