A face-based smoothed finite element method for hyperelastic models and tissue growth. Dương, M., T. and Staat, M. In Oñate, E.; J. Oliver, J.; and 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.
A face-based smoothed finite element method for hyperelastic models and tissue growth [pdf]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)},
 id = {9cd137f3-e685-36be-bd12-20dfbfbeecab},
 created = {2014-06-02T20:07:49.000Z},
 file_attached = {false},
 profile_id = {93ec0d5b-403c-3f87-b702-40b6362f05e6},
 last_modified = {2017-03-14T23:34:32.861Z},
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 starred = {false},
 authored = {true},
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 citation_key = {duong2014facebased},
 source_type = {inproceedings},
 private_publication = {false},
 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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