Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad de Antioquia
2013
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| _version_ | 1876470674372952064 |
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| author | Mario J. Juha |
| author_facet | Mario J. Juha |
| contents | Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function Mario J. Juha Ingeniería gels gels network network solvent The total Lagrangian finite element implementation of the Flory-Rehner free-energy function in the framework of a hyperelastic material model is addressed. It is explicitly given all the equations required to implement this material model in an implicit nonlinear finite element analysis, particularly, it is shown how to derive the so-called algorithmic or consistent linearized tangent moduli in the Lagrangian description. Some analytical and numerical results for different boundary-value problems are presented to validate the implementation. 2013 artículo científico 0120-6230 https://www.redalyc.org/articulo.oa?id=43029812012 en http://www.redalyc.org/revista.oa?id=430 Revista Facultad de Ingeniería Universidad de Antioquia application/pdf Universidad de Antioquia Revista Facultad de Ingeniería Universidad de Antioquia (Colombia) Num.69 |
| format | Artículo científico |
| id | redalyc_43029812012 |
| institution | Redalyc |
| language | en |
| publishDate | 2013 |
| publisher | Universidad de Antioquia |
| spellingShingle | Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function Mario J. Juha Ingeniería gels gels network network solvent Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function Mario J. Juha Ingeniería gels gels network network solvent The total Lagrangian finite element implementation of the Flory-Rehner free-energy function in the framework of a hyperelastic material model is addressed. It is explicitly given all the equations required to implement this material model in an implicit nonlinear finite element analysis, particularly, it is shown how to derive the so-called algorithmic or consistent linearized tangent moduli in the Lagrangian description. Some analytical and numerical results for different boundary-value problems are presented to validate the implementation. 2013 artículo científico 0120-6230 https://www.redalyc.org/articulo.oa?id=43029812012 en http://www.redalyc.org/revista.oa?id=430 Revista Facultad de Ingeniería Universidad de Antioquia application/pdf Universidad de Antioquia Revista Facultad de Ingeniería Universidad de Antioquia (Colombia) Num.69 |
| title | Total Lagrangian Finite Element Formulation of the Flory-Rehner Free Energy Function |
| topic | Ingeniería gels gels network network solvent |
| url | https://www.redalyc.org/articulo.oa?id=43029812012 |