Isogeometric analysis of hyperelastic materials using petiGA
In this work different nonlinear hyperelastic models for slightly compressible materials are implemented in an isogeometric finite element model. This is done within the recently developed computational framework called PetIGA, which uses isogeometric analysis and modern computational tools to solve...
| Main Authors: | , , , , , |
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| Format: | Conference Paper |
| Published: |
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/51308 |
| _version_ | 1848758665182445568 |
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| author | Bernal, L. Calo, Victor Collier, N. Espinosa, G. Fuentes, F. Mahecha, J. |
| author_facet | Bernal, L. Calo, Victor Collier, N. Espinosa, G. Fuentes, F. Mahecha, J. |
| author_sort | Bernal, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this work different nonlinear hyperelastic models for slightly compressible materials are implemented in an isogeometric finite element model. This is done within the recently developed computational framework called PetIGA, which uses isogeometric analysis and modern computational tools to solve systems of equations directly and iteratively. A flexible theoretical background is described to implement other hyperelastic models and possibly transient problems in future work. Results show quadratic convergence of the nonlinear solution consistent with the Newton-Raphson method that was used. Finally, PetIGA proves to be a powerful and versatile tool to solve these types of problems efficiently. © 2013 The Authors. Published by Elsevier B.V. |
| first_indexed | 2025-11-14T09:47:36Z |
| format | Conference Paper |
| id | curtin-20.500.11937-51308 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:47:36Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-513082017-09-13T15:41:42Z Isogeometric analysis of hyperelastic materials using petiGA Bernal, L. Calo, Victor Collier, N. Espinosa, G. Fuentes, F. Mahecha, J. In this work different nonlinear hyperelastic models for slightly compressible materials are implemented in an isogeometric finite element model. This is done within the recently developed computational framework called PetIGA, which uses isogeometric analysis and modern computational tools to solve systems of equations directly and iteratively. A flexible theoretical background is described to implement other hyperelastic models and possibly transient problems in future work. Results show quadratic convergence of the nonlinear solution consistent with the Newton-Raphson method that was used. Finally, PetIGA proves to be a powerful and versatile tool to solve these types of problems efficiently. © 2013 The Authors. Published by Elsevier B.V. 2013 Conference Paper http://hdl.handle.net/20.500.11937/51308 10.1016/j.procs.2013.05.328 http://creativecommons.org/licenses/by-nc-nd/3.0/ fulltext |
| spellingShingle | Bernal, L. Calo, Victor Collier, N. Espinosa, G. Fuentes, F. Mahecha, J. Isogeometric analysis of hyperelastic materials using petiGA |
| title | Isogeometric analysis of hyperelastic materials using petiGA |
| title_full | Isogeometric analysis of hyperelastic materials using petiGA |
| title_fullStr | Isogeometric analysis of hyperelastic materials using petiGA |
| title_full_unstemmed | Isogeometric analysis of hyperelastic materials using petiGA |
| title_short | Isogeometric analysis of hyperelastic materials using petiGA |
| title_sort | isogeometric analysis of hyperelastic materials using petiga |
| url | http://hdl.handle.net/20.500.11937/51308 |