Extension of the Sussman-Bathe spline-based hyperelastic model to incompressible transversely isotropic materials
[EN] In this paper we extend the Sussman¿Bathe spline-based hyperelastic isotropic model to predict the behavior of transversely isotropic isochoric materials. The model is based on an uncoupled decomposition of the stored energy function and a generalization of the inversion formula used by Sussman...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/191420 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/191420 |
| Access Level: | acceso abierto |
| Palabra clave: | Hyperelasticity Nonlinear elasticity Incompressible materials Transverse isotropy Living tissues Rubber-like materials 03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades |
| Sumario: | [EN] In this paper we extend the Sussman¿Bathe spline-based hyperelastic isotropic model to predict the behavior of transversely isotropic isochoric materials. The model is based on an uncoupled decomposition of the stored energy function and a generalization of the inversion formula used by Sussman and Bathe. The present extension introduces some approximations that, in all studied cases, do not yield relevant deviations from the experimental data. The isotropic model results in a particular case of the present formulation. Several possibilities of user-prescribed experimental data are addressed. The model is used to predict experiments of calendered rubber and of biological tissues. |
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