Node-to-node scheme for three-dimensional contact mechanics using polyhedral type variable-node elements

被引:22
作者
Jin, Seungmin [1 ]
Sohn, Dongwoo [2 ]
Im, Seyoung [1 ]
机构
[1] Korea Adv Inst Sci & Technol KAIST, Dept Mech Engn, 291 Daehak Ro, Daejeon 34141, South Korea
[2] Korea Maritime & Ocean Univ, Coll Engn, Div Mech Engn, 727 Taejong Ro, Busan 49112, South Korea
基金
新加坡国家研究基金会;
关键词
Contact analysis; Polyhedral variable-node elements; Large deformation; Node-to-node contact scheme; LAGRANGIAN OPTIMIZATION METHOD; SOLID INTERACTION PROBLEMS; FINITE-ELEMENT; MORTAR METHOD; PATCH TEST; NONMATCHING MESHES; HEXAHEDRAL MESHES; LOCAL REFINEMENT; DOMAIN METHOD; METHOD SFEM;
D O I
10.1016/j.cma.2016.02.019
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A node-to-node contact scheme, which is applicable for three-dimensional contact analyses involving large deformations, is developed with the aid of polyhedral elements. The key issue is to transform nonmatching meshes into matching meshes in a seamless manner. Because polyhedral elements are allowed to have arbitrary numbers of polygonal faces and nodes, they can be used as transition elements for coupling nonmatching meshes. In this paper, the polyhedral elements make it possible to always maintain node-to-node contact during the contact deformation. The present approach guarantees that the patch test is passed and the nonpenetration condition is satisfied, and hence it yields smoother contact pressure with faster convergence than the conventional node-to-surface or surface-to-surface contact scheme. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:217 / 242
页数:26
相关论文
共 60 条
[1]  
[Anonymous], 1958, Stanford Mathematical Studies in the Social Sciences
[2]  
[Anonymous], 2013, NONLINEAR ELASTIC DE
[3]  
[Anonymous], 1991, Computational Methods in Nonlinear Mechanics
[4]  
[Anonymous], 2002, Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis
[5]  
Arrow KJ, 1958, Studies in Linear and Nonlinear Programming, P166
[6]   A finite element method for domain decomposition with non-matching grids [J].
Becker, R ;
Hansbo, P ;
Stenberg, R .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2003, 37 (02) :209-225
[7]   The mortar finite element method for contact problems [J].
Belgacem, FB ;
Hild, P ;
Laborde, P .
MATHEMATICAL AND COMPUTER MODELLING, 1998, 28 (4-8) :263-271
[8]  
Belytschko T., 2013, Nonlinear Finite Elements For Continua and Structures
[9]  
BERNARDI C, 1995, CR ACAD SCI I-MATH, V320, P373
[10]  
BERNARDI C, 1990, MATH COMPUT, V54, P21, DOI 10.1090/S0025-5718-1990-0995205-7