메뉴 건너뛰기




Volumn 99, Issue , 2015, Pages 49-67

X-FEM modeling of dynamic ductile fracture problems with a nonlocal damage-viscoplasticity model

Author keywords

Ductile fracture; Explicit dynamic; Nonlocal damage visco plasticity; X FEM

Indexed keywords

CRACKS; DEFORMATION; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; PLASTICITY; STRAIN RATE; VISCOPLASTICITY;

EID: 84925071205     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2015.01.002     Document Type: Article
Times cited : (14)

References (61)
  • 3
    • 0021787534 scopus 로고
    • Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures
    • G.R. Johnson, and W.H. Cook Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures Eng. Fract. Mech. 21 1985 31 48
    • (1985) Eng. Fract. Mech. , vol.21 , pp. 31-48
    • Johnson, G.R.1    Cook, W.H.2
  • 4
    • 6944240018 scopus 로고    scopus 로고
    • Dislocation mechanics-based constitutive equations
    • F. Zerilli Dislocation mechanics-based constitutive equations Metall. A/Mater. Trans. 35 2004 2547 2555
    • (2004) Metall. A/Mater. Trans. , vol.35 , pp. 2547-2555
    • Zerilli, F.1
  • 6
    • 85024581897 scopus 로고
    • A criterion for ductile fracture by the growth of holes
    • F.A. McClintock A criterion for ductile fracture by the growth of holes J. Appl. Mech. 35 1968 363 371
    • (1968) J. Appl. Mech. , vol.35 , pp. 363-371
    • Mcclintock, F.A.1
  • 7
    • 0014520924 scopus 로고
    • On the ductile enlargement of voids in triaxial stress fields
    • J.R. Rice, and D.M Tracey On the ductile enlargement of voids in triaxial stress fields J. Mech. Phys. Solids 17 1969 201 217
    • (1969) J. Mech. Phys. Solids , vol.17 , pp. 201-217
    • Rice, J.R.1    Tracey, D.M.2
  • 8
    • 0022682841 scopus 로고
    • Crack initiation and propagation in ductile fracture: path dependence and on parameter characterization
    • A. Atkins, and Y.W. Mai Crack initiation and propagation in ductile fracture: path dependence and on parameter characterization Int. J. Fract. 30 1986 49 52
    • (1986) Int. J. Fract. , vol.30 , pp. 49-52
    • Atkins, A.1    Mai, Y.W.2
  • 9
    • 17844389623 scopus 로고    scopus 로고
    • Calibration and evaluation of seven fracture models
    • T. Wierzbicki, Y. Bao, Y.W. Lee, and Y. Bai Calibration and evaluation of seven fracture models Int. J. Mech. Sci. 47 2005 719 743
    • (2005) Int. J. Mech. Sci. , vol.47 , pp. 719-743
    • Wierzbicki, T.1    Bao, Y.2    Lee, Y.W.3    Bai, Y.4
  • 10
    • 33947697650 scopus 로고    scopus 로고
    • Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading
    • L. Xue Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading Int J. Solids Struct. 44 2007 5163 5181
    • (2007) Int J. Solids Struct. , vol.44 , pp. 5163-5181
    • Xue, L.1
  • 12
    • 0002005265 scopus 로고
    • Ductility and the workability of metals
    • M.G. Cockcroft, and D.J. Latham Ductility and the workability of metals J. Inst. Metals 96 1968 33 39
    • (1968) J. Inst. Metals , vol.96 , pp. 33-39
    • Cockcroft, M.G.1    Latham, D.J.2
  • 13
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth: part I-yield criteria and flow rules for porous ductile media
    • A.L. Gurson Continuum theory of ductile rupture by void nucleation and growth: part I-yield criteria and flow rules for porous ductile media J. Eng. Mater. Technol. 99 1977 2 15
    • (1977) J. Eng. Mater. Technol. , vol.99 , pp. 2-15
    • Gurson, A.L.1
  • 14
    • 0021132424 scopus 로고
    • Analysis of the cup-cone fracture in a round tensile bar
    • V. Tvergaard, and A. Needleman Analysis of the cup-cone fracture in a round tensile bar Acta Metall. 32 1984 157 169
    • (1984) Acta Metall. , vol.32 , pp. 157-169
    • Tvergaard, V.1    Needleman, A.2
  • 15
    • 0021863318 scopus 로고
    • A continuous damage mechanics model for ductile fracture
    • J. Lemaitre A continuous damage mechanics model for ductile fracture J. Eng. Mater. Technol. 107 1985 83 89
    • (1985) J. Eng. Mater. Technol. , vol.107 , pp. 83-89
    • Lemaitre, J.1
  • 18
    • 72949110599 scopus 로고    scopus 로고
    • Ductile failure model for the description of AISI 1045 behavior under different loading conditions
    • H. Autenrieth, V. Schulze, N. Herzig, and L.W. Meyer Ductile failure model for the description of AISI 1045 behavior under different loading conditions Mech. Time-Depend. Mater. 13 2009 215 231
    • (2009) Mech. Time-Depend. Mater. , vol.13 , pp. 215-231
    • Autenrieth, H.1    Schulze, V.2    Herzig, N.3    Meyer, L.W.4
  • 19
    • 33646034610 scopus 로고    scopus 로고
    • Discrete crack modelling of ductile fracture driven by non-local softening plasticity
    • J. Mediavilla, R.H.J. Peerlings, and M.G.D. Geers Discrete crack modelling of ductile fracture driven by non-local softening plasticity Int. J. Numer. Methods Eng. 66 2006 661 688
    • (2006) Int. J. Numer. Methods Eng. , vol.66 , pp. 661-688
    • Mediavilla, J.1    Peerlings, R.H.J.2    Geers, M.G.D.3
  • 20
    • 67349102245 scopus 로고    scopus 로고
    • 3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method
    • H. Moslemi, and A.R. Khoei 3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method Eng. Fract. Mech. 76 2009 1703 1728
    • (2009) Eng. Fract. Mech. , vol.76 , pp. 1703-1728
    • Moslemi, H.1    Khoei, A.R.2
  • 21
    • 84875257244 scopus 로고    scopus 로고
    • Numerical simulation of ductile crack growth under cyclic and dynamic loading with a damage-viscoplasticity model
    • A.R. Khoei, M. Eghbalian, H. Azadi, and H. Saffar Numerical simulation of ductile crack growth under cyclic and dynamic loading with a damage-viscoplasticity model Eng. Fract. Mech. 99 2013 169 190
    • (2013) Eng. Fract. Mech. , vol.99 , pp. 169-190
    • Khoei, A.R.1    Eghbalian, M.2    Azadi, H.3    Saffar, H.4
  • 22
    • 0033078549 scopus 로고    scopus 로고
    • The element free Galerkin method for dynamic propagation of arbitrary 3D cracks
    • P. Krysl, and T. Belytschko The element free Galerkin method for dynamic propagation of arbitrary 3D cracks Int. J. Numer. Methods Eng. 44 1999 767 800
    • (1999) Int. J. Numer. Methods Eng. , vol.44 , pp. 767-800
    • Krysl, P.1    Belytschko, T.2
  • 24
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • J.M. Melenk, and I. Babuska The partition of unity finite element method: Basic theory and applications Comput. Methods Appl. Mech. Eng. 139 1996 289 314
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 25
    • 0032649861 scopus 로고    scopus 로고
    • Elastic crack growth in finite elements with minimal remeshing
    • T. Belytschko, and T. Black Elastic crack growth in finite elements with minimal remeshing Int. J. Numer. Methods Eng. 45 1999 601 620
    • (1999) Int. J. Numer. Methods Eng. , vol.45 , pp. 601-620
    • Belytschko, T.1    Black, T.2
  • 26
    • 0342520886 scopus 로고    scopus 로고
    • Discontinuous enrichment in finite elements with a partition of unity method
    • J.E. Dolbow, N. Moës, and T. Belytschko Discontinuous enrichment in finite elements with a partition of unity method Finite Elem. Anal. Des. 36 2000 235 260
    • (2000) Finite Elem. Anal. Des. , vol.36 , pp. 235-260
    • Dolbow, J.E.1    Moës, N.2    Belytschko, T.3
  • 27
    • 67650733836 scopus 로고    scopus 로고
    • A review of extended/generalized finite element methods for material modeling
    • T. Belytschko, R. Gracie, and G. Ventura A review of extended/generalized finite element methods for material modeling Model. Simul. Mater. Sci. Eng. 17 2009 043001
    • (2009) Model. Simul. Mater. Sci. Eng. , vol.17 , pp. 043001
    • Belytschko, T.1    Gracie, R.2    Ventura, G.3
  • 29
    • 0344062898 scopus 로고    scopus 로고
    • Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
    • T. Belytschko, H. Chen, J.X. Xu, and G. Zi Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment Int. J. Numer. Methods Eng. 57 2003 1873 1905
    • (2003) Int. J. Numer. Methods Eng. , vol.57 , pp. 1873-1905
    • Belytschko, T.1    Chen, H.2    Xu, J.X.3    Zi, G.4
  • 30
    • 75549090569 scopus 로고    scopus 로고
    • Dynamic crack propagation analysis of orthotropic media by the extended finite element method
    • D. Motamedi, and S. Mohammadi Dynamic crack propagation analysis of orthotropic media by the extended finite element method Int. J. Fract. 161 2010 21 39
    • (2010) Int. J. Fract. , vol.161 , pp. 21-39
    • Motamedi, D.1    Mohammadi, S.2
  • 31
    • 77949492664 scopus 로고    scopus 로고
    • Implementation of the extended finite element method for dynamic thermoelastic fracture initiation
    • A. Zamani, and M.R. Eslami Implementation of the extended finite element method for dynamic thermoelastic fracture initiation Int. J. Solids Struct. 47 2010 1392 1404
    • (2010) Int. J. Solids Struct. , vol.47 , pp. 1392-1404
    • Zamani, A.1    Eslami, M.R.2
  • 32
    • 37849021076 scopus 로고    scopus 로고
    • The simulation of dynamic crack propagation using the cohesive segments method
    • J.J.C. Remmers, R. de Borst, and A. Needleman The simulation of dynamic crack propagation using the cohesive segments method J. Mech. Phys. Solids. 56 2008 70 92
    • (2008) J. Mech. Phys. Solids. , vol.56 , pp. 70-92
    • Remmers, J.J.C.1    De Borst, R.2    Needleman, A.3
  • 35
    • 65149091183 scopus 로고    scopus 로고
    • An explicit dynamics extended finite element method. Part 1: mass lumping for arbitrary enrichment functions
    • T. Elguedj, A. Gravouil, and H. Maigre An explicit dynamics extended finite element method. Part 1: mass lumping for arbitrary enrichment functions Comput. Methods Appl. Mech. Eng. 198 2009 2297 2317
    • (2009) Comput. Methods Appl. Mech. Eng. , vol.198 , pp. 2297-2317
    • Elguedj, T.1    Gravouil, A.2    Maigre, H.3
  • 36
    • 65149095275 scopus 로고    scopus 로고
    • An explicit dynamics extended finite element method. Part 2: element-by-element stable-explicit/explicit dynamic scheme
    • A. Gravouil, T. Elguedj, and H. Maigre An explicit dynamics extended finite element method. Part 2: element-by-element stable-explicit/explicit dynamic scheme Comput. Methods Appl. Mech. Eng. 198 2009 2318 2328
    • (2009) Comput. Methods Appl. Mech. Eng. , vol.198 , pp. 2318-2328
    • Gravouil, A.1    Elguedj, T.2    Maigre, H.3
  • 37
    • 28344451544 scopus 로고    scopus 로고
    • Appropriate extended functions for X-FEM simulation of plastic fracture mechanics
    • T. Elguedj, A. Gravouil, and A. Combescure Appropriate extended functions for X-FEM simulation of plastic fracture mechanics Comput. Methods Appl. Mech. Eng. 195 2006 501 515
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 501-515
    • Elguedj, T.1    Gravouil, A.2    Combescure, A.3
  • 38
    • 34248195535 scopus 로고    scopus 로고
    • Mixed augmented Lagrangian-extended finite element method for modelling elastic-plastic fatigue crack growth with unilateral contact
    • T. Elguedj, A. Gravouil, and A. Combescure Mixed augmented Lagrangian-extended finite element method for modelling elastic-plastic fatigue crack growth with unilateral contact Int. J. Numer. Methods Eng. 71 2007 1569 1597
    • (2007) Int. J. Numer. Methods Eng. , vol.71 , pp. 1569-1597
    • Elguedj, T.1    Gravouil, A.2    Combescure, A.3
  • 39
    • 84879216504 scopus 로고    scopus 로고
    • Damage driven crack initiation and propagation in ductile metals using XFEM
    • M.R. Seabra, P. Šuštarič, J.M.C. de Sa, and T. Rodič Damage driven crack initiation and propagation in ductile metals using XFEM Comput. Mech. 52 2013 161 179
    • (2013) Comput. Mech. , vol.52 , pp. 161-179
    • Seabra, M.R.1    Šuštarič, P.2    De Sa, J.M.C.3    Rodič, T.4
  • 40
    • 84888034235 scopus 로고    scopus 로고
    • The extended finite element method for large deformation ductile fracture problems with a non-local damage-plasticity model
    • P. Broumand, and A.R. Khoei The extended finite element method for large deformation ductile fracture problems with a non-local damage-plasticity model Eng. Fract. Mech. 97 2013 97 125
    • (2013) Eng. Fract. Mech. , vol.97 , pp. 97-125
    • Broumand, P.1    Khoei, A.R.2
  • 41
    • 84925157427 scopus 로고    scopus 로고
    • A large deformation X-FEM method coupled with a damage-plasticity model for dynamic and cyclic crack propagation
    • P. Broumand, and A.R. Khoei A large deformation X-FEM method coupled with a damage-plasticity model for dynamic and cyclic crack propagation Eur. J. Comput. Mech. 2015
    • (2015) Eur. J. Comput. Mech.
    • Broumand, P.1    Khoei, A.R.2
  • 42
    • 34248231866 scopus 로고    scopus 로고
    • On criteria for dynamic adiabatic shear band propagation
    • S.N. Medyanik, and S. Li On criteria for dynamic adiabatic shear band propagation J. Mech. Phys. Solids 55 2007 1439 1461
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 1439-1461
    • Medyanik, S.N.1    Li, S.2
  • 44
    • 0032207233 scopus 로고    scopus 로고
    • Nonlocal models for damage and fracture: comparison of approaches
    • T. Jirasek Nonlocal models for damage and fracture: comparison of approaches Int. J. Solids Struct. 35 1998 4133 4145
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 4133-4145
    • Jirasek, T.1
  • 46
    • 33749015195 scopus 로고    scopus 로고
    • A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: part I, Theoretical formulation
    • R.K.A. Al-Rub, and G.Z. Voyiadjiss A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: part I, Theoretical formulation Int. J. Damage Mech. 15 2006 293 334
    • (2006) Int. J. Damage Mech. , vol.15 , pp. 293-334
    • Al-Rub, R.K.A.1    Voyiadjiss, G.Z.2
  • 47
    • 33749010344 scopus 로고    scopus 로고
    • A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: part II, numerical aspects and simulations
    • G.Z. Voyiadjis, and R.K.A. Al-Rub A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: part II, numerical aspects and simulations Int. J. Damage Mech. 15 2006 335 373
    • (2006) Int. J. Damage Mech. , vol.15 , pp. 335-373
    • Voyiadjis, G.Z.1    Al-Rub, R.K.A.2
  • 48
    • 38049145364 scopus 로고    scopus 로고
    • On the small and finite deformation thermo-elasto-viscoplasticity theory for strain localization problems
    • G.Z. Voyiadjis, R.K.A. Al-Rub, and A.N. Palazotto On the small and finite deformation thermo-elasto-viscoplasticity theory for strain localization problems Euro. J. Comp. Mech. 15 2006 945 987
    • (2006) Euro. J. Comp. Mech. , vol.15 , pp. 945-987
    • Voyiadjis, G.Z.1    Al-Rub, R.K.A.2    Palazotto, A.N.3
  • 51
    • 0035480341 scopus 로고    scopus 로고
    • Damping algorithms and effects for explicit dynamics computations
    • G.R. Johnson, and S.R. Beissel Damping algorithms and effects for explicit dynamics computations Int. J. Impact Eng. 25 2001 911 925
    • (2001) Int. J. Impact Eng. , vol.25 , pp. 911-925
    • Johnson, G.R.1    Beissel, S.R.2
  • 52
    • 0019566120 scopus 로고
    • A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
    • D.P. Flanagan, and T. Belytschko A uniform strain hexahedron and quadrilateral with orthogonal hourglass control Int. J. Numer. Methods Eng. 17 1981 679 706
    • (1981) Int. J. Numer. Methods Eng. , vol.17 , pp. 679-706
    • Flanagan, D.P.1    Belytschko, T.2
  • 53
    • 40949096548 scopus 로고    scopus 로고
    • An extended arbitrary Lagrangian-Eulerian finite element method for large deformation of solid mechanics
    • A.R. Khoei, M. Anahid, and K. Shahim An extended arbitrary Lagrangian-Eulerian finite element method for large deformation of solid mechanics Finite Elem. Anal. Des. 44 2008 401 416
    • (2008) Finite Elem. Anal. Des. , vol.44 , pp. 401-416
    • Khoei, A.R.1    Anahid, M.2    Shahim, K.3
  • 54
    • 0025497179 scopus 로고
    • A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
    • A.L. Eterovic, and K.J. Bathe A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures Int. J. Numer. Methods Eng. 30 1990 1099 1114
    • (1990) Int. J. Numer. Methods Eng. , vol.30 , pp. 1099-1114
    • Eterovic, A.L.1    Bathe, K.J.2
  • 55
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • E.H. Lee Elastic-plastic deformation at finite strains J. Appl. Mech. 36 1969 1 6
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 56
    • 0035443671 scopus 로고    scopus 로고
    • A computational model of viscoplasticity and ductile damage for impact and penetration
    • T. Borvik, O.S. Hopperstad, T. Berstad, and M. Langseth A computational model of viscoplasticity and ductile damage for impact and penetration Eur. J. Mech. A/Solids 20 2001 685 712
    • (2001) Eur. J. Mech. A/Solids , vol.20 , pp. 685-712
    • Borvik, T.1    Hopperstad, O.S.2    Berstad, T.3    Langseth, M.4
  • 57
    • 0023983136 scopus 로고
    • Material rate dependence and mesh sensitivity in localization problems
    • A. Needleman Material rate dependence and mesh sensitivity in localization problems Comput. Methods Appl. Mech. Eng. 67 1988 69 85
    • (1988) Comput. Methods Appl. Mech. Eng. , vol.67 , pp. 69-85
    • Needleman, A.1
  • 58
    • 33746372014 scopus 로고    scopus 로고
    • Damage modelling in metal forming problems using an implicit non-local gradient model
    • J. Cesar de Sa, P. Areias, and C. Zheng Damage modelling in metal forming problems using an implicit non-local gradient model Comput. Methods Appl. Mech. Eng. 195 2006 6646 6660
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 6646-6660
    • Cesar De Sa, J.1    Areias, P.2    Zheng, C.3
  • 60
    • 0016101548 scopus 로고
    • Strain energy factors applied to mixed mode crack problems
    • G.C. Sih Strain energy factors applied to mixed mode crack problems Int. J. Fract. 10 1974 305 321
    • (1974) Int. J. Fract. , vol.10 , pp. 305-321
    • Sih, G.C.1
  • 61
    • 85151486806 scopus 로고
    • Strain energy release rate for a crack under combined mode I and mode II.
    • M. Hussain, S. Pu, J. Underwood, Strain energy release rate for a crack under combined mode I and mode II. ASTM, 560, 1974, pp. 2-28.
    • (1974) ASTM , vol.560 , pp. 2-28
    • Hussain, M.1    Pu, S.2    Underwood, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.