On the predictive capability and stability of rubber material models
Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2009
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| Online Access: | http://hdl.handle.net/1721.1/45144 |
| _version_ | 1826213850086637568 |
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| author | Zheng, Haining |
| author2 | Klaus-Jürgen Bathe. |
| author_facet | Klaus-Jürgen Bathe. Zheng, Haining |
| author_sort | Zheng, Haining |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008. |
| first_indexed | 2024-09-23T15:55:50Z |
| format | Thesis |
| id | mit-1721.1/45144 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T15:55:50Z |
| publishDate | 2009 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/451442019-04-10T16:32:58Z On the predictive capability and stability of rubber material models Zheng, Haining Klaus-Jürgen Bathe. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Computation for Design and Optimization Program. Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2008. This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. Includes bibliographical references (p. 99-101). 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. by Haining Zheng. S.M. 2009-04-29T14:45:56Z 2009-04-29T14:45:56Z 2008 2008 Thesis http://hdl.handle.net/1721.1/45144 311854384 eng 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. http://dspace.mit.edu/handle/1721.1/7582 101 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Computation for Design and Optimization Program. Zheng, Haining On the predictive capability and stability of rubber material models |
| title | On the predictive capability and stability of rubber material models |
| title_full | On the predictive capability and stability of rubber material models |
| title_fullStr | On the predictive capability and stability of rubber material models |
| title_full_unstemmed | On the predictive capability and stability of rubber material models |
| title_short | On the predictive capability and stability of rubber material models |
| title_sort | on the predictive capability and stability of rubber material models |
| topic | Computation for Design and Optimization Program. |
| url | http://hdl.handle.net/1721.1/45144 |
| work_keys_str_mv | AT zhenghaining onthepredictivecapabilityandstabilityofrubbermaterialmodels |