Bubble-Enriched Smoothed Finite Element Methods for Nearly-Incompressible Solids  

作　　者：Changkye Lee Sundararajan Natarajan Jack S.Hale Zeike A.Taylor Jurng-Jae Yee Stephane P.A.Bordas 

机构地区：[1]University Core Research Center for Disaster-Free and Safe Ocean City Construction,Dong-A University,Busan,49315,Korea [2]Department of Mechanical Engineering,Indian Institute of Technology Madras,Chennai,600036,India [3]Faculty of Science,Technology and Communication,University of Luxembourg,Esch-sur-Alzette,L-4364,Luxembourg [4]CISTIB-Center for Computational Imaging&Simulation Technologies in Biomedicine,School of Engineering,Leeds,LS29JT,UK

出　　处：《Computer Modeling in Engineering & Sciences》2021年第5期411-436,共26页工程与科学中的计算机建模（英文）

基　　金：Changkye Lee and Jurng-Jae Yee would like to thank the support by Basic Science Research Program through the National Research Foundation(NRF)funded by Korea through Ministry of Education(No.2016R1A6A1A03012812).

摘　　要：This work presents a locking-free smoothed finite element method(S-FEM)for the simulation of soft matter modelled by the equations of quasi-incompressible hyperelasticity.The proposed method overcomes well-known issues of standard finite element methods(FEM)in the incompressible limit:the over-estimation of stiffness and sensitivity to severely distorted meshes.The concepts of cell-based,edge-based and node-based S-FEMs are extended in this paper to three-dimensions.Additionally,a cubic bubble function is utilized to improve accuracy and stability.For the bubble function,an additional displacement degree of freedom is added at the centroid of the element.Several numerical studies are performed demonstrating the stability and validity of the proposed approach.The obtained results are compared with standard FEM and with analytical solutions to show the effectiveness of the method.

关 键 词：Strain smoothing smoothed finite element method bubble functions HYPERELASTICITY mesh distortion 

分 类 号：O24[理学—计算数学]