A large deformation frictional contact formulation using NURBS-based isogeometric analysis

被引：194
作者：
De Lorenzis, L. [1 ]
Temizer, I. [2 ]
Wriggers, P. [3 ]
Zavarise, G. [1 ]
机构：
[1] Univ Salento, Dept Innovat Engn, Lecce, Italy
[2] Bilkent Univ, Dept Mech Engn, Ankara, Turkey
[3] Leibniz Univ Hannover, Inst Kontinuumsmech, Hannover, Germany
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2011年 / 87卷 / 13期
关键词：
contact mechanics; isogeometric analysis; NURBS; mortar method; MORTAR METHOD; SURFACES; ELEMENTS;
D O I：
10.1002/nme.3159
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper focuses on the application of NURBS-based isogeometric analysis to Coulomb frictional contact problems between deformable bodies, in the context of large deformations. A mortar-based approach is presented to treat the contact constraints, whereby the discretization of the continuum is performed with arbitrary order NURBS, as well as C(0)-continuous Lagrange polynomial elements for comparison purposes. The numerical examples show that the proposed contact formulation in conjunction with the NURBS discretization delivers accurate and robust predictions. Results of lower quality are obtained from the Lagrange discretization, as well as from a different contact formulation based on the enforcement of the contact constraints at every integration point on the contact surface. Copyright (C) 2011 John Wiley & Sons, Ltd.
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收藏
页码：1278 / 1300
页数：23
相关论文
共 32 条
[1]  
[Anonymous], 2009, ISOGEOMETRIC ANAL
[2]  
[Anonymous], 2002, Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis
[3]   NURBS-based isogeometric analysis for the computation of flows about rotating components [J].
Bazilevs, Y. ;
Hughes, T. J. R. .
COMPUTATIONAL MECHANICS, 2008, 43 (01) :143-150
[4]   Isogeometric fluid-structure interaction: theory, algorithms, and computations [J].
Bazilevs, Y. ;
Calo, V. M. ;
Hughes, T. J. R. ;
Zhang, Y. .
COMPUTATIONAL MECHANICS, 2008, 43 (01) :3-37
[5]   Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device [J].
Bazilevs, Y. ;
Gohean, J. R. ;
Hughes, T. J. R. ;
Moser, R. D. ;
Zhang, Y. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (45-46) :3534-3550
[6]   Isogeometric analysis in electromagnetics: B-splines approximation [J].
Buffa, A. ;
Sangalli, G. ;
Vazquez, R. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (17-20) :1143-1152
[7]  
Eterovic AL, 1991, COMPUTATIONAL METHOD, P703
[8]   Frictionless 2D Contact formulations for finite deformations based on the mortar method [J].
Fischer, KA ;
Wriggers, P .
COMPUTATIONAL MECHANICS, 2005, 36 (03) :226-244
[9]   Mortar based frictional contact formulation for higher order interpolations using the moving friction cone [J].
Fischer, Kathrin A. ;
Wriggers, Peter .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (37-40) :5020-5036
[10]   A comparison of the h-, p-, hp-, and rp-version of the FEM for the solution of the 2D Hertzian contact problem [J].
Franke, David ;
Duester, A. ;
Nuebel, V. ;
Rank, E. .
COMPUTATIONAL MECHANICS, 2010, 45 (05) :513-522
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