Hierarchical NURBS and a higher-order phase-field approach to fracture for finite-deformation contact problems

被引：28
作者：
Hesch, C. [1 ]
Franke, M. [1 ]
Dittmann, M. [2 ]
Temizer, I. [3 ]
机构：
[1] Karlsruhe Inst Technol, Inst Mech, D-76021 Karlsruhe, Germany
[2] Univ Siegen, Chair Computat Mech, D-57068 Siegen, Germany
[3] Bilkent Univ, Dept Mech Engn, Ankara, Turkey
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2016年 / 301卷
关键词：
Hierarchical refinement; NURBS; Phase field; Mortar contact; Finite deformations; Fracture; ISOGEOMETRIC ANALYSIS; BRITTLE-FRACTURE; MODEL; FORMULATION; REFINEMENT;
D O I：
10.1016/j.cma.2015.12.011
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we investigate variationally consistent Mortar contact algorithms applied to a phase-field approach to brittle fracture. Phase-field approaches allow for an efficient simulation of complex fracture problems, as they arise in contact and impact situations. To improve accuracy and convergence, a fourth-order phase-field model is considered, requiring C-1 continuity throughout the domain. An isogeometrical framework is used for the spatial discretisation subject to hierarchical refinements to resolve local features. This reduces the computational effort tremendously, as will be shown in a series of representative examples. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：242 / 258
页数：17
相关论文
共 38 条
  • [1] A new dissipative time-stepping algorithm for frictional contact problems:: formulation and analysis
    Armero, F
    Petöcz, E
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 179 (1-2) : 151 - 178
  • [2] Isogeometric analysis using T-splines
    Bazilevs, Y.
    Calo, V. M.
    Cottrell, J. A.
    Evans, J. A.
    Hughes, T. J. R.
    Lipton, S.
    Scott, M. A.
    Sederberg, T. W.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) : 229 - 263
  • [3] A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework
    Borden, Michael J.
    Hughes, Thomas J. R.
    Landis, Chad M.
    Verhoosel, Clemens V.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 273 : 100 - 118
  • [4] A phase-field description of dynamic brittle fracture
    Borden, Michael J.
    Verhoosel, Clemens V.
    Scott, Michael A.
    Hughes, Thomas J. R.
    Landis, Chad M.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 217 : 77 - 95
  • [5] A subdivision-based implementation of the hierarchical b-spline finite element method
    Bornemann, P. B.
    Cirak, F.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 253 : 584 - 598
  • [6] The variational approach to fracture
    Bourdin, Blaise
    Francfort, Gilles A.
    Marigo, Jean-Jacques
    [J]. JOURNAL OF ELASTICITY, 2008, 91 (1-3) : 5 - 148
  • [7] Isogeometric mortar methods
    Brivadis, Ericka
    Buffa, Annalisa
    Wohlmuth, Barbara
    Wunderlich, Linus
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 284 : 292 - 319
  • [8] Cottrell J.A., 2009, Isogeometric Analysis: Towards Unification of Computer Aided Design and Finite Element Analysis
  • [9] Isogeometric large deformation frictionless contact using T-splines
    Dimitri, R.
    De Lorenzis, L.
    Scott, M. A.
    Wriggers, P.
    Taylor, R. L.
    Zavarise, G.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 269 : 394 - 414
  • [10] Isogeometric Analysis and thermomechanical Mortar contact problems
    Dittmann, M.
    Franke, M.
    Temizer, I.
    Hesch, C.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 274 : 192 - 212
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