An anisotropic micro-ellipsoid constitutive model based on a microstructural description of fibrous soft tissues
| Autor: | Vit Novacek, Laure Astruc, Mathias Brieu, Thierry Hoc, Jean-François Witz, Frédéric Turquier, Annie Morch |
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| Přispěvatelé: | Laboratoire de Mécanique Multiphysique Multiéchelle (LaMcube), Université de Lille-Centrale Lille-Centre National de la Recherche Scientifique (CNRS), École Centrale de Lyon (ECL), Université de Lyon, Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Tribologie et Dynamique des Systèmes (LTDS), Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Ecole Nationale d'Ingénieurs de Saint Etienne (ENISE)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Materials science
Geodesic Mechanical Engineering Constitutive equation Mathematical analysis Strain energy density function 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Homogenization (chemistry) Ellipsoid 010305 fluids & plasmas Numerical integration [SPI]Engineering Sciences [physics] Mechanics of Materials Hyperelastic material 0103 physical sciences 0210 nano-technology Anisotropy ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Journal of the Mechanics and Physics of Solids Journal of the Mechanics and Physics of Solids, Elsevier, 2019, 131, pp.56-73. ⟨10.1016/j.jmps.2019.06.019⟩ Journal of the Mechanics and Physics of Solids, 2019, 131, pp.56-73. ⟨10.1016/j.jmps.2019.06.019⟩ |
| ISSN: | 0022-5096 |
| DOI: | 10.1016/j.jmps.2019.06.019⟩ |
| Popis: | The aim of this paper is to propose a multi-scale anisotropic constitutive model based on a microscopic description of a soft fibrous tissue. The proposed model is based on directional (or micro-sphere) strain energy density, linking the contribution of fibers to macroscopic elasticity. The link between the microscopic fiber and the macroscopic response is obtained by homogenization involving numerical integration on the surface of the homogenized volume. Directly from the texture analysis of microscopic observations, anisotropy is accounted for an ellipsoid, used as the basis for integration. In each spatial direction of the summation, the initial length of the fibers is penalized according to the geodesic of the anisotropic ellipsoid. Unlike conventional models, anisotropy is taken into account for strains, which allows the mechanical properties of the fibers to be maintained throughout the elementary volume. A new specific integration scheme on an ellipsoidal surface was then developed to facilitate numerical implementation. The strains penalization also ensures that the solution obtained when increasing the amplitude of anisotropy is not degraded. This model, with the new integration method, has been tested for its relevance on numerical tissues. The objectivity and invariance of rotation were then proven. Finally experimental data obtained on human abdominal wall connective tissues were used to verify the accuracy of the results and the predictive capabilities of the model. |
| Databáze: | OpenAIRE |
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