Selective smoothed finite element methods for extremely large deformation of anisotropic incompressible bio‐tissues

DOI Web Site Web Site 被引用文献3件
  • Chen Jiang
    State Key Laboratory of Advanced Technology of Design and Manufacturing for Vehicle Body Hunan University China 410082
  • Zhi‐Qian Zhang
    Institute of High Performance Computing A*STAR Singapore 138632
  • Xu Han
    State Key Laboratory of Advanced Technology of Design and Manufacturing for Vehicle Body Hunan University China 410082
  • Gui‐Rong Liu
    Department of Aerospace Engineering and Engineering Mechanics University of Cincinnati 2851 Woodside Dr, Cincinnati OH 45221 USA

説明

<jats:title>SUMMARY</jats:title><jats:p>Two dynamic selective smoothed FEM (selective S‐FEM) are proposed for analysis of extremely large deformation of anisotropic incompressible bio‐tissues using the simplest four‐node tetrahedron elements. In the present two Selective S‐FEMs, the method that consists of the face‐based smoothed FEM (FS‐FEM) used for the deviatoric part of deformation and the node‐based smoothed FEM (NS‐FEM) used for the volumetric part is called FS/NS‐FEM; another method that replaces the deviatoric part of deformation in the first one by the edge‐based smoothed FEM (3D‐ES‐FEM) is call 3D‐ES/NS‐FEM. Both selective S‐FEMs can achieve outstanding accuracy, and stability of volumetric locking free. This is because the NS‐FEM offers an ‘overly‐soft’ feature (in contrast to the standard FEM ‘overly‐stiff’ model), which can be used to effectively mitigate the volumetric locking, and on the other hand, the 3D‐ES‐FEM and FS‐FEM produce close to exact stiffness for the discretized model leading to accurate solution. Numerical examples are presented to examine the performance of the selective S‐FEM methods, including soft bio‐tissues that may be isotropic, transversely isotropic, and anisotropic arterial layered materials. The present methods are found having good accuracy and performance. The examples also demonstrate that the proposed methods are very robust and possess remarkable capabilities of handling element distortion, which is very useful for simulating soft materials including bio‐tissues. Copyright © 2014 John Wiley & Sons, Ltd.</jats:p>

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