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A smoothed finite element method for analysis of anisotropic large deformation of passive rabbit ventricles in diastole
Author(s) -
Jiang Chen,
Liu GuiRong,
Han Xu,
Zhang ZhiQian,
Zeng Wei
Publication year - 2015
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2697
Subject(s) - finite element method , hyperelastic material , distortion (music) , node (physics) , structural engineering , smoothed finite element method , materials science , mechanics , computer science , physics , engineering , boundary element method , boundary knot method , amplifier , optoelectronics , cmos
Summary The smoothed FEM (S‐FEM) is firstly extended to explore the behavior of 3D anisotropic large deformation of rabbit ventricles during the passive filling process in diastole. Because of the incompressibility of myocardium, a special method called selective face‐based/node‐based S‐FEM using four‐node tetrahedral elements (FS/NS‐FEM‐TET4) is adopted in order to avoid volumetric locking. To validate the proposed algorithms of FS/NS‐FEM‐TET4, the 3D Lame problem is implemented. The performance contest results show that our FS/NS‐FEM‐TET4 is accurate, volumetric locking‐free and insensitive to mesh distortion than standard linear FEM because of absence of isoparametric mapping. Actually, the efficiency of FS/NS‐FEM‐TET4 is comparable with higher‐order FEM, such as 10‐node tetrahedral elements. The proposed method for Holzapfel myocardium hyperelastic strain energy is also validated by simple shear tests through the comparison outcomes reported in available references. Finally, the FS/NS‐FEM‐TET4 is applied in the example of the passive filling of MRI‐based rabbit ventricles with fiber architecture derived from rule‐based algorithm to demonstrate its efficiency. Hence, we conclude that FS/NS‐FEM‐TET4 is a promising alternative other than FEM in passive cardiac mechanics. Copyright © 2015 John Wiley & Sons, Ltd.