Convexity, polyconvexity and finite element implementation of a four-fiber anisotropic hyperelastic strain energy density—Application to the modeling of femoral, popliteal and tibial arteries
| Autor: | Renye Cai, Libang Hu, Frédéric Holweck, François Peyraut, Zhi-Qiang Feng |
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| Přispěvatelé: | School of Automobile and Transportation Engineering, Guangdong Polytechnic Normal University, Laboratoire de Mécanique et d'Energétique d'Evry (LMEE), Université d'Évry-Val-d'Essonne (UEVE)-Université Paris-Saclay, Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), Université de Technologie de Belfort-Montbeliard (UTBM)-Université de Bourgogne (UB)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), School of Mechanics and Aerospace Engineering, Southwest Jiaotong University (SWJTU) |
| Rok vydání: | 2022 |
| Předmět: |
Convexity
Nonlinear mechanics Finite element implementation Mechanics of Materials Mechanical Engineering Strain energy function (SEF) Computational Mechanics General Physics and Astronomy Anisotropic hyperelastic materials Biological soft tissue [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] Computer Science Applications |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering Computer Methods in Applied Mechanics and Engineering, 2022, 399, pp.115294. ⟨10.1016/j.cma.2022.115294⟩ |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2022.115294 |
| Popis: | International audience; Computational analysis of the nonlinear mechanical properties of anisotropic hyperelastic materials aims at a better understanding of its physiology and pathophysiology under different loading conditions. This has an important role in biomechanics, surgical, clinical diagnostic and design of medical devices. This study investigates the modeling of arterial tissues made of a four-fiber family by using an anisotropic hyperelastic model. This model is based on the theory of polynomial invariant and was implemented in the university finite element code FER. The convex property of the strain energy function is investigated as well as the positive definite nature of the tangent stiffness matrix used within the framework of a finite element analysis. This allows us to guarantee the invertibility of the linearized problem and the uniqueness of the solution computed at each step of the Newton–Raphson scheme used to solve nonlinear problems. |
| Databáze: | OpenAIRE |
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