Bi-modulus materials consistent with a stored energy function: Theory and numerical implementation
[EN] Many materials present different behavior in tension and compression. Within the infinitesimal isotropic theory, the widely used approach based on the Ambartsumyan theory presents only three independent constants to preserve symmetry of the elasticity tensor. The reported finite element impleme...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| 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:10251/191444 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/191444 |
| Access Level: | acceso abierto |
| Palabra clave: | Bi-modulus materials Tension-compression asymmetry Finite elements Hyperelasticity Ambartsumyan theory 03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades |
| Sumario: | [EN] Many materials present different behavior in tension and compression. Within the infinitesimal isotropic theory, the widely used approach based on the Ambartsumyan theory presents only three independent constants to preserve symmetry of the elasticity tensor. The reported finite element implementation of this and similar theories are complex and often lack the convergence properties expected for a bi-linear material. In this work we address the problem through a hyperelastic approach, obtaining a simple and consistent framework which retains the four independent constants and yields the expected convergence characteristics of a bi-linear material. The Ambartsumyan model is obtained as a particular case within this framework. |
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