A phase field model for damage in elasto-viscoplastic materials

被引:79
作者
Shanthraj, P. [1 ,2 ]
Sharma, L. [1 ,3 ]
Svendsen, B. [1 ,4 ]
Roters, F. [1 ]
Raabe, D. [1 ]
机构
[1] Max Planck Inst Eisenforsch GmbH, Max Planck Str 1, D-40237 Dusseldorf, Germany
[2] Rhein Westfal TH Aachen, AICES, Schinkelstr 2, D-52062 Aachen, Germany
[3] Eindhoven Univ Technol, Dept Mech Engn, POB 513, NL-5600 MB Eindhoven, Netherlands
[4] Rhein Westfal TH Aachen, Mat Mech, Schinkelstr 2, D-52062 Aachen, Germany
关键词
Phase field; Viscoplasticity; Fracture; Finite deformation; BRITTLE-FRACTURE; CRACK-PROPAGATION; NUMERICAL EXPERIMENTS; VARIATIONAL APPROACH; DEFORMATION; FORMULATION; NUCLEATION; PLASTICITY; SOLIDS; DUCTILE;
D O I
10.1016/j.cma.2016.05.006
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A phase field method for brittle fracture is formulated for a finite strain elasto-viscoplastic material using a novel obstacle phase field energy model. The obstacle energy model results in a crack profile with compact support, and thus gives a physically realistic description of the material behaviour at the vicinity of the crack tip. The resulting variational inequality is discretised by a finite element method, and is efficiently solved using a reduced space NEWTON method. The solution, accuracy and numerical performance of this method is compared with a conventional phase field energy model for brittle fracture through representative examples, and a significant reduction in the numerical solution cost is demonstrated. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:167 / 185
页数:19
相关论文
共 37 条
  • [1] A review on phase-field models of brittle fracture and a new fast hybrid formulation
    Ambati, Marreddy
    Gerasimov, Tymofiy
    De Lorenzis, Laura
    [J]. COMPUTATIONAL MECHANICS, 2015, 55 (02) : 383 - 405
  • [2] Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
    Amor, Hanen
    Marigo, Jean-Jacques
    Maurini, Corrado
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (08) : 1209 - 1229
  • [3] Balay S., 2015, Technical Report ANL-95/11-Revision 3.6
  • [4] Flexible complementarity solvers for large-scale applications
    Benson, SJ
    Munson, TS
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2006, 21 (01) : 155 - 168
  • [5] The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals
    Bieler, T. R.
    Eisenlohr, P.
    Roters, F.
    Kumar, D.
    Mason, D. E.
    Crimp, M. A.
    Raabe, D.
    [J]. INTERNATIONAL JOURNAL OF PLASTICITY, 2009, 25 (09) : 1655 - 1683
  • [6] 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
  • [7] Heterogeneous and architectured materials:: A possible strategy for design of structural materials
    Bouaziz, O.
    Brechet, Y.
    Embury, J. D.
    [J]. ADVANCED ENGINEERING MATERIALS, 2008, 10 (1-2) : 24 - 36
  • [8] Numerical experiments in revisited brittle fracture
    Bourdin, B
    Francfort, GA
    Marigo, JJ
    [J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (04) : 797 - 826
  • [9] The variational approach to fracture
    Bourdin, Blaise
    Francfort, Gilles A.
    Marigo, Jean-Jacques
    [J]. JOURNAL OF ELASTICITY, 2008, 91 (1-3) : 5 - 148
  • [10] Bourdin B, 2007, INTERFACE FREE BOUND, V9, P411