A robust and consistent remeshing-transfer operator for ductile fracture simulations

Computers and Structures

Volumn 84, Issue 8-9, 2006, Pages 604-623

  Mediavilla, J ^a,b   Peerlings, R H J ^b   Geers, M G D ^b  

^a NETHERLANDS INSTITUTE FOR METALS RESEARCH   (Netherlands)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Discrete crack; Ductile damage; Ductile fracture; Finite element method; Remeshing; Transfer

Indexed keywords

COMPUTER SIMULATION; CRACK INITIATION; ELASTOPLASTICITY; FAILURE ANALYSIS; FINITE ELEMENT METHOD; ROBUSTNESS (CONTROL SYSTEMS);

DISCRETE CRACKS; DUCTILE DAMAGE; REMESHING;

DUCTILE FRACTURE;

EID: 31644436327     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2005.10.007     Document Type: Article

References (77)

1. T.L. Anderson Fracture mechanics: fundamentals and applications 1995 CRC Press
2. J.W. Hutchinson Singular behaviour at the end of a tensile crack in a hardening material J Mech Phys Solids 16 1968 13 31
3. J.R. Rice, and G.F. Rosengren Plane strain deformation near a crack tip in a power-law hardening material J Mech Phys Solids 16 1968 1 12
4. A.A. Wells Application of fracture mechanics at and beyond general yielding Brit Welding J 10 1963 563 570
5. H. Andersson Finite element representation of stable crack growth J Mech Phys Solids 21 1973 337 356
6. D.S. Dugdale Yielding in steel sheets containing slits J Mech Phys Solids 8 1960 100 108
7. D.S. Barenblatt The mathematical theory of equilibrium cracks in brittle fracture Adv Appl Mech 7 1962 55 129
8. J. Oliver A consistent characteristic length for smeared cracking models Int J Numer Meth Eng 28 1989 461 474
9. J.C. Simo, J. Oliver, and F. Armero An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids Comput Mech 12 1993 277 296
10. M. Jirásek, and T. Zimmermann Embeded crack model I: Basic formulation Int J Numer Meth Eng 50 2001 1269 1290
11. J.M. Mahishi, and D.F. Adams Micromechanical predictions of crack initiation, propagation, and crack growth resistance in boron/aluminum composites J Compos Mater 16 1982 457 469
12. G.T. Camacho, and M. Ortiz Computational modelling of impact damage in brittle materials Int J Solids Struct 33 1996 2899 2938
13. T. Belytschko, and T. Black Elastic crack growth in finite elements with minimal remeshing Int J Numer Meth Eng 45 1999 601 620
14. N. Moës, J. Dolbow, and T. Belytschko A finite element method for crack growth without remeshing Int J Numer Meth Eng 46 1999 131 150
15. T.N. Bittencourt, P.A. Wawrzynek, A.R. Ingraffea, and J.L. Sousa Quasi-automatic simulation of crack propagation for 2D LEFM problems Eng Fract Mech 55 1996 321 334
16. P.O. Bouchard, F. Bay, Y. Chastel, and I. Tovena Crack propagation modelling using an advanced remeshing technique Comp Meth Appl Mech Eng 189 2000 723 742
17. T.A. Cruse Surface cracks: physical problems and computational solutions 1972 American Society of Mechanical Engineers
18. M.H. Aliabadi A new generation of boundary element methods in fracture mechanics Eng Fract Mech 86 1997 91 125
19. T. Belytschko, Y.Y. Lu, and L. Gu Crack propagation by element-free Galerkin methods Eng Fract Mech 51 1995 295 315
20. P.A. Klein, J.W. Foulk, E.P. Chen, S.A. Wimmer, and H.J. Gao Physics-based modeling of brittle fracture: cohesive formulations and the application of meshfree methods Theor Appl Fract Mech 37 2001 99 166
21. J.R. Rice, and D.M. Tracey On the ductile enlargement of voids in triaxial stress fields J Mech Phys Solids 17 1969 201 207
22. F.A. McClintock A criterion for ductile fracture by the growth of holes J Appl Mech 35 1968 363 371
23. A.L. Gurson Continuum theory of ductile rupture by void nucleation and growth. Part I: Yield criteria and flow rule for porous ductile media J Eng Mater Technol 99 1977 1 15
24. V. Tvergaard, and A. Needleman Analysis of the cup-cone fracture in a round tensile bar Acta Metallurg 32 1984 157 169
25. A. Needleman, V. Tvergaard, and J.W. Hutchinson Void growth in plastic solids 1992 Springer-Verlag
26. L.M. Kachanov Introduction to continuum damage mechanics 1986 Kluwer Academic Publishers
27. J. Lemaitre A course on damage mechanics 1992 Springer
28. F. Armero, and S. Oller A general framework for continuum damage models. I. Infinitesimial plastic damage models in stress space Int J Solids Struct 37 2000 7437 7464
29. J.C. Simo, and J.W. Ju On continuum damage-elastoplasticity at finite strains Comput Mech 5 1989 375 400
30. K. Saanouni, and J.L. Chaboche Computational damage mechanics. Application to metal forming I. Milne R.O. Ritchie B. Karihaloo Comprehensive structural integrity vol. 3 2003 Elsevier 321 376 [Chapter 3.06]
31. R. de Borst, L.J. Sluys, H.-B. Muhlhaus, and J. Pamin Fundamental issues in finite element analyses of localization of deformation Eng Comput 10 1993 99 121
32. M.G.D. Geers, R.L.J.M. Ubachs, and R.A.B. Engelen Strongly nonlocal gradient-enhanced finite strain elastoplasticity Int J Numer Meth Eng 56 2003 2039 2068
33. R.H.J. Peerlings, M.G.D. Geers, R. de Borst, and W.A.M. Brekelmans A critical comparison of nonlocal and gradient-enhanced continua Int J Solids Struct 38 2001 7723 7746
34. G.N. Wells, L.J. Sluys, and R. de Borst Simulating the propagation of displacement discontinuities in a regularised strain-softening medium Int J Numer Meth Eng 53 2002 1235 1256
35. A. Simone, G.N. Wells, and L.J. Sluys From continuous to discontinuous failure in a gradient-enhanced continuum damage model Comp Meth Appl Mech Eng 192 2003 4581 4607
36. D. Brokken, W.A.M. Brekelmans, and F.P.T. Baaijens Numerical modelling of the metal blanking process J Mater Process Technol 83 1998 192 199
37. D. Brokken, W.A.M. Brekelmans, and F.P.T. Baaijens Predicting the shape of blanked products: a finite element approach J Mater Process Technol 103 2000 51 56
38. J.C. Simo, and C. Miehe Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation Comp Meth Appl Mech Eng 98 1992 41 104
39. F.J. Montans, and K.J. Bathe Computational issues in large strain elasto-plasticity: an algorithm for mixed hardening and plastic spin Int J Numer Meth Eng 63 2005 159 196
40. M. Kojic, and K.J. Bathe Inelastic analysis of solids and structures 2005 Springer
41. J.C. Simo Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory Comp Meth Appl Mech Eng 99 1992 61 112
42. F.M. Beremin A local criterion for cleavage fracture of a nuclear pressure vessel steel Metallurg Trans 14A 1983 2277 2287
43. S. Roy, R.J. Dexter, and A.F. Fossum A computational procedure for the simulation of ductile fracture with large plastic deformation Eng Fract Mech 45 1993 277 293
44. A.M. Goijaerts, L.E. Govaert, and F.P.T. Baaijens Evaluation of ductile fracture models for different metals in blanking J Mater Process Technol 110 2001 312 323
45. M. Oyane, T. Sato, K. Okimoto, and S. Shima Criteria for ductile fracture and their applications J Mech Work Technol 4 1979 65 81
46. D.S. Dawicke, M.A. Sutton, J.C. Newman Jr., and C.A. Bigelow Measurement and analysis of critical CTOA for aluminum alloy sheet Fracture mechanics vol. 25 1995 ASTM 358 379
47. F. Erdogan, and G.C. Sih On the crack extension in plates under plane loading and transverse shear J Basic Eng 85 1963 519 527
48. G.C. Sih Strain-energy-density factor applied to mixed mode crack problems Int J Fract 10 1974 305 321
49. C.H. Wu Fracture under combined loads by maximum-energy-release-rate criterion J Appl Mech 45 1978 553 558
50. T.M. Maccagno, and J.F. Knott The fracture behaviour of PMMA in mixed modes I and II Eng Fract Mech 34 1989 65 86
51. A.K. Ghosal, and R. Narasmhan A finite element analysis of mixed mode fracture initiation by ductile failure mechanisms J Mech Phys Solids 42 1994 953 978
52. D. Bhattacharjee, and J.F. Knott Ductile fracture in HY100 steel under mixed mode I/mode II loading Acta Metallurg Mater 42 1994 1747 1754
53. N. Hallback Mixed-mode I/II fracture behaviour of a high strength steel Int J Fract 87 1997 363 388
54. Y.J. Chao, and X.K. Zhu A simple theory for describing the transition between tensile and shear mechanisms in mode I, II, III Mixed-mode crack behavior vol. STP 1359 1999 ASTM 41 57
55. M.A. Sutton, W. Zhao, M.L. Boone, and A.P. Reynolds Prediction of crack growth direction for mode I/II loading using small-scale yielding and void initiation/growth concepts Int J Fract 83 1997 275 290
56. M.A. Sutton, X. Deng, F. Ma, J.C. Newman Jr., and M. James Development and application of a crack tip opening displacement-based mixed mode fracture criterion Int J Solids Struct 37 2000 3591 3618
57. A. Pirondi, and C. Dalle Donne Characterisation of ductile mixed-mode fracture with the crack-tip displacement vector Eng Fract Mech 68 2001 1385 1402
58. T. Belytschko, W.K. Liu, and B. Moran Nonlinear finite elements for continua and structures 1996 John Wiley and Sons
59. J.C. Simo A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part I. Continuum formulation Comp Meth Appl Mech Eng 66 1988 199 219
60. J.C. Simo A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part II. Computational aspects Comp Meth Appl Mech Eng 68 1988 1 31
61. G.N. Wells, and L.J. Sluys A new method for modelling cohesive cracks using finite elements Int J Numer Meth Eng 50 2001 2667 2682
62. I.L. Lim, I.W. Jonhston, and S.K. Choi A finite element code for fracture propagation analysis within elasto-plastic continuum Eng Fract Mech 53 1996 193 211
63. D. Perić, Ch. Hochard, M. Dutko, and D.R.J. Owen Transfer operators for evolving meshes in small strain elasto-placticity Comp Meth Appl Mech Eng 137 1996 331 344
64. N.S. Lee, and K.J. Bathe Error indicators and adaptive remeshing in large deformation finite element analysis Finite Elem Anal Des 16 1994 99 139
65. B. Boroomand, and O.C. Zienkiewicz Recovery procedures in error estimation and adaptivity. Part II: Adaptivity in nonlinear problems of elasto-plasticity behaviour Comp Meth Appl Mech Eng 176 1999 127 146
66. E. Hinton, and J.S. Campbell Local and global smoothing of discontinuous finite element functions using a least squares method Int J Numer Meth Eng 8 1974 461 480
67. G. Loubignac, and G. Cantin Continuous stress fields in finite element analysis AIAA J 15 1977 1645 1647
68. Ch. PavanaChand, and R. KrishnaKumar Remeshing issues in the finite element analysis of metal forming problems J Mater Process Technol 75 1998 63 74
69. M. Ortiz, and J. Quigley Adaptive mesh refinement in strain localization problems Comp Meth Appl Mech Eng 90 1991 781 804
70. G.T. Camacho, and M. Ortiz Adaptive Lagrangian modelling of ballistic penetration of metallic targets Comp Meth Appl Mech Eng 142 1997 269 301
71. H.D. Espinosa, P.D. Zavattieri, and G.L. Emore Adaptive FEM computation of geometric and material nonlinearities with application to brittle failure Mech Mater 29 1998 275 305
72. R.H. Dodds, J.R. Tang, and M. Tang Numerical procedures to model ductile crack extension Eng Fract Mech 46 1993 253 264
73. K.J. Bathe Finite element procedures 1996 Prentice-Hall
74. Brokken D. Numerical modelling of ductile fracture in blanking. PhD thesis, Eindhoven University of Technology, 1999.
75. B.E. Amstutz, M.A. Sutton, D.S. Dawicke, and J.C. Newman An experimental study of CTOD for mode I/mode II stable crack growth in thin 2024-T3 aluminium specimens Fracture mechanics vol. 26 1996 ASTM 256 271
76. B.E. Amstutz, M.A. Sutton, D.S. Dawicke, and M.L. Boone Effects of mixed mode I/II loading and grain orientation on crack initiation and stable tearing in 2024-T3 aluminum Fatigue Fract 27 1997 217 224
77. M. Arcan, Z. Hashin, and A. Voloshin Method to produce uniform plane stress states with applications to fiber-reinforced materials Exp Mech 18 1978 141 146