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On the predictive capability and stability of rubber material models

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dc.contributor.advisor Klaus-Jürgen Bathe. en_US
dc.contributor.author Zheng, Haining en_US
dc.contributor.other Massachusetts Institute of Technology. Computation for Design and Optimization Program. en_US
dc.date.accessioned 2009-04-29T14:45:56Z
dc.date.available 2009-04-29T14:45:56Z
dc.date.copyright 2008 en_US
dc.date.issued 2008 en_US
dc.identifier.uri http://hdl.handle.net/1721.1/45144
dc.description Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008. en_US
dc.description This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. en_US
dc.description Includes bibliographical references (p. 99-101). en_US
dc.description.abstract Due to the high non-linearity and incompressibility constraint of rubber materials, the predictive capability and stability of rubber material models require specific attention for practical engineering analysis. In this thesis, the predictive capability of various rubber material models, namely the Mooney-Rivlin model, Arruda-Boyce model, Ogden model and the newly proposed Sussman-Bathe model, is investigated theoretically with continuum mechanics methods and tested numerically in various deformation situations using the finite element analysis software ADINA. In addition, a recently made available stability criterion of rubber material models is re-derived and verified through numerical experiments for the above four models with ADINA. Thereafter, the predictive capability and stability of material models are studied jointly for non-homogenous deformations. The Mooney-Rivlin model, Arruda-Boyce model, Ogden model have difficulties in describing the uniaxial compression data while the Sussman-Bathe model can fit both compression and extension data well. Thus, the Sussman-Bathe model has the best predictive capability for pure shear deformations. Furthermore, with respect to more complex non-homogenous deformations, a conclusion is drawn that all three major deformations, namely uniaxial deformation, biaxial deformation and pure shear deformation, must satisfy the stability criterion to obtain physically correct non-homogenous simulation results. en_US
dc.description.statementofresponsibility by Haining Zheng. en_US
dc.format.extent 101 p. en_US
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. en_US
dc.rights.uri http://dspace.mit.edu/handle/1721.1/7582 en_US
dc.subject Computation for Design and Optimization Program. en_US
dc.title On the predictive capability and stability of rubber material models en_US
dc.type Thesis en_US
dc.description.degree S.M. en_US
dc.contributor.department Massachusetts Institute of Technology. Computation for Design and Optimization Program. en_US
dc.identifier.oclc 311854384 en_US


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