A face-based smoothed finite element method for hyperelastic models and tissue growth. Dương, M., T. & Staat, M. In Oñate, E., J. Oliver, J., & Huerta, A., editors, 11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCM V), 6th European Conference on Computational Fluid Dynamics (ECFD VI) July 20-25, 2014, Barcelona, Spain, pages 2657-2668, 2014.
Website abstract bibtex This paper presents a Face-based Smoothed Finite Element Method (FS-FEM) using the 4-node tetrahedral elements (T4) (FS-FEM-T4) applied to nonlinear problems. The FS-FEM can overcome and improve some existing problems which the standard Finite Element Method using the T4 (FEM-T4) often faces, such as the well-known overly stiff behavior, poor stress solution, and volumetric effects. The principal idea of the FS-FEM is to formulate a strain field as a spatial average of the standard strain measure. In the field of biomechanics, the FS-FEM is still relative new. We have implemented the FS-FEM into the open source software Code_Aster for large scale biomedical applications. Numerical results of the FS-FEM for linear and nonlinear problems show clearly its advantages in improving accuracy particularly for the distorted meshes. A combination of the FS-FEM with the growth models performed exhibits clearly good performances.
@inproceedings{
title = {A face-based smoothed finite element method for hyperelastic models and tissue growth},
type = {inproceedings},
year = {2014},
keywords = {FEM,FS-FEM,Hyperelastic Models,Nonlinear Problems,SFEM},
pages = {2657-2668},
websites = {opus.bibliothek.fh-aachen.de/opus4/files/6509/Barcelona_2014-p3040.pdf},
institution = {European Community on Computational Methods in Applied Sciences (ECCOMAS)},
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created = {2014-06-02T20:07:49.000Z},
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last_modified = {2017-03-14T23:34:32.861Z},
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authored = {true},
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citation_key = {duong2014facebased},
source_type = {inproceedings},
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abstract = {This paper presents a Face-based Smoothed Finite Element Method (FS-FEM) using the 4-node tetrahedral elements (T4) (FS-FEM-T4) applied to nonlinear problems. The FS-FEM can overcome and improve some existing problems which the standard Finite Element Method using the T4 (FEM-T4) often faces, such as the well-known overly stiff behavior, poor stress solution, and volumetric effects. The principal idea of the FS-FEM is to formulate a strain field as a spatial average of the standard strain measure. In the field of biomechanics, the FS-FEM is still relative new. We have implemented the FS-FEM into the open source software Code_Aster for large scale biomedical applications. Numerical results of the FS-FEM for linear and nonlinear problems show clearly its advantages in improving accuracy particularly for the distorted meshes. A combination of the FS-FEM with the growth models performed exhibits clearly good performances.},
bibtype = {inproceedings},
author = {Dương, Minh Tuấn and Staat, Manfred},
editor = {Oñate, E and J. Oliver, J and Huerta, A},
booktitle = {11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCM V), 6th European Conference on Computational Fluid Dynamics (ECFD VI) July 20-25, 2014, Barcelona, Spain}
}
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