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Volumn 69, Issue 3, 2007, Pages 484-503

The cohesive element approach to dynamic fragmentation: The question of energy convergence

Author keywords

Cohesive element; Crack branching; Dynamic crack propagation; Fragmentation; Numerical convergence

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; CRACK PROPAGATION; ELASTICITY; STRAIN;

EID: 33846269274     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1777     Document Type: Article
Times cited : (78)

References (51)
  • 1
    • 0000728351 scopus 로고
    • Fragmentation of a sphere initiated by hypervelocity impact with a thin sheet
    • Piekutowski AJ. Fragmentation of a sphere initiated by hypervelocity impact with a thin sheet. International Journal of Impact Engineering 1995; 17:627-638.
    • (1995) International Journal of Impact Engineering , vol.17 , pp. 627-638
    • Piekutowski, A.J.1
  • 2
    • 4944248622 scopus 로고    scopus 로고
    • Validation of a computational implementation of the Grady-Kipp dynamic fragmentation theory for thin metal plate impacts using an analytical strain-rate model and hydrodynamic analogues
    • De Chant L. Validation of a computational implementation of the Grady-Kipp dynamic fragmentation theory for thin metal plate impacts using an analytical strain-rate model and hydrodynamic analogues. Mechanics of Materials 2005; 37:83-94.
    • (2005) Mechanics of Materials , vol.37 , pp. 83-94
    • De Chant, L.1
  • 5
    • 0011990384 scopus 로고    scopus 로고
    • Enhanced ballistic performance of confined multi-layered ceramic targets against long rod penetrators through interface defeat
    • Espinosa HD, Brar NS, Yuan G, Xu Y, Arrieta V. Enhanced ballistic performance of confined multi-layered ceramic targets against long rod penetrators through interface defeat. International Journal of Solids and Structures 2000; 37(36):4893-4913.
    • (2000) International Journal of Solids and Structures , vol.37 , Issue.36 , pp. 4893-4913
    • Espinosa, H.D.1    Brar, N.S.2    Yuan, G.3    Xu, Y.4    Arrieta, V.5
  • 8
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium of cracks in brittle fracture
    • Barrenblatt GI. The mathematical theory of equilibrium of cracks in brittle fracture. Advances in Applied Mechanics 1962; 7:55-129.
    • (1962) Advances in Applied Mechanics , vol.7 , pp. 55-129
    • Barrenblatt, G.I.1
  • 10
    • 33745027980 scopus 로고
    • Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line
    • Xu XP, Needleman A. Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line. International Journal of Fracture 1995; 74:253-275.
    • (1995) International Journal of Fracture , vol.74 , pp. 253-275
    • Xu, X.P.1    Needleman, A.2
  • 11
    • 0000999624 scopus 로고    scopus 로고
    • Numerical simulations of dynamic crack growth along an interface
    • Xu XP, Needleman A. Numerical simulations of dynamic crack growth along an interface. International Journal of Fracture 1996; 74:289-324.
    • (1996) International Journal of Fracture , vol.74 , pp. 289-324
    • Xu, X.P.1    Needleman, A.2
  • 14
    • 0033328376 scopus 로고    scopus 로고
    • Finite element simulation of ring expansion and fragmentation: The capturing of length and time scales through cohesive models of fracture
    • Pandolfi A, Krysl P, Ortiz M. Finite element simulation of ring expansion and fragmentation: the capturing of length and time scales through cohesive models of fracture. International Journal of Fracture 1999; 95:279-297.
    • (1999) International Journal of Fracture , vol.95 , pp. 279-297
    • Pandolfi, A.1    Krysl, P.2    Ortiz, M.3
  • 18
    • 0033692676 scopus 로고    scopus 로고
    • Finite element analysis of micromechanical failure modes in a heterogeneous ceramic material system
    • Zhai J, Zhou M. Finite element analysis of micromechanical failure modes in a heterogeneous ceramic material system. International Journal of Fracture 2000; 101:161-180.
    • (2000) International Journal of Fracture , vol.101 , pp. 161-180
    • Zhai, J.1    Zhou, M.2
  • 19
    • 0035802969 scopus 로고    scopus 로고
    • Grain level analysis of crack initiation and propagation in brittle materials
    • Zavattieri PD, Espinosa HD. Grain level analysis of crack initiation and propagation in brittle materials. Acta Materialia 2001; 49:4291-4311.
    • (2001) Acta Materialia , vol.49 , pp. 4291-4311
    • Zavattieri, P.D.1    Espinosa, H.D.2
  • 20
    • 4544258822 scopus 로고    scopus 로고
    • Stochastic fracture of ceramics under dynamic tensile loading
    • Zhou F, Molinari JF. Stochastic fracture of ceramics under dynamic tensile loading. International Journal of Solids and Structures 2004; 41(22-23):6573-6596.
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.22-23 , pp. 6573-6596
    • Zhou, F.1    Molinari, J.F.2
  • 21
    • 0347765706 scopus 로고    scopus 로고
    • Dynamic crack propagation with cohesive elements: A methodology to address mesh dependency
    • Zhou F, Molinari JF. Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency. International Journal for Numerical Methods in Engineering 2004; 59(1):1-24.
    • (2004) International Journal for Numerical Methods in Engineering , vol.59 , Issue.1 , pp. 1-24
    • Zhou, F.1    Molinari, J.F.2
  • 22
    • 10444241979 scopus 로고    scopus 로고
    • Mesoscale analysis of dynamic fragmentation of ceramics under tension
    • Maiti S, Rangaswamy K, Geubelle PH. Mesoscale analysis of dynamic fragmentation of ceramics under tension. Acta Materialia 2005; 53(3):823-834.
    • (2005) Acta Materialia , vol.53 , Issue.3 , pp. 823-834
    • Maiti, S.1    Rangaswamy, K.2    Geubelle, P.H.3
  • 28
    • 0036373164 scopus 로고    scopus 로고
    • An efficient adaptive procedure for three-dimensional fragmentation simulations
    • Pandolfi A, Ortiz M. An efficient adaptive procedure for three-dimensional fragmentation simulations. Engineering with Computers 2002; 18:148-159.
    • (2002) Engineering With Computers , vol.18 , pp. 148-159
    • Pandolfi, A.1    Ortiz, M.2
  • 30
    • 0003077565 scopus 로고
    • Mathematical analysis in the mechanics of fracture
    • In Liebowitz H (ed.). Academic Press: New York
    • Rice JR. Mathematical analysis in the mechanics of fracture. In Fracture, An Advanced Treatise, Vol. II: Mathematical Fundamentals, Liebowitz H (ed.). Academic Press: New York, 1968; 191-311.
    • (1968) Fracture, An Advanced Treatise, Vol. II: Mathematical Fundamentals , pp. 191-311
    • Rice, J.R.1
  • 31
    • 0016471019 scopus 로고
    • A theory of crack initiation and growth in viscoelastic media
    • Schapery RA. A theory of crack initiation and growth in viscoelastic media. International Journal of Fracture 1975; 11(1):141-159.
    • (1975) International Journal of Fracture , vol.11 , Issue.1 , pp. 141-159
    • Schapery, R.A.1
  • 33
    • 85137171003 scopus 로고
    • On the stress distribution at the base of a stationary crack
    • Williams ML. On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics 1957; 24:109-114.
    • (1957) Journal of Applied Mechanics , vol.24 , pp. 109-114
    • Williams, M.L.1
  • 34
  • 35
    • 0036903081 scopus 로고    scopus 로고
    • Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates
    • Yu C, Pandolfi A, Ortiz M, Coker D, Rosakis AJ. Three-dimensional modeling of intersonic shear-crack growth in asymmetrically loaded unidirectional composite plates. International Journal of Solids and Structures 2002; 39(25):6135-6157.
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.25 , pp. 6135-6157
    • Yu, C.1    Pandolfi, A.2    Ortiz, M.3    Coker, D.4    Rosakis, A.J.5
  • 36
    • 0035371012 scopus 로고    scopus 로고
    • Dynamic fragmentation of brittle materials: Analytical mechanics-based models
    • Drugan WJ. Dynamic fragmentation of brittle materials: analytical mechanics-based models. Journal of the Mechanics and Physics of Solids 2001; 49:1181-1208.
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , pp. 1181-1208
    • Drugan, W.J.1
  • 37
    • 13944279600 scopus 로고    scopus 로고
    • A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials
    • Zhou F, Molinari JF, Shioya T. A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials. Engineering Fracture Mechanics 2005; 72:1383-1410.
    • (2005) Engineering Fracture Mechanics , vol.72 , pp. 1383-1410
    • Zhou, F.1    Molinari, J.F.2    Shioya, T.3
  • 38
    • 20444437547 scopus 로고    scopus 로고
    • Analysis of three-dimensional crack initiation and propagation using the extended finite element method
    • Areias PMA, Belytschko T. Analysis of three-dimensional crack initiation and propagation using the extended finite element method. International Journal for Numerical Methods in Engineering 2005; 63(5):760-788.
    • (2005) International Journal for Numerical Methods in Engineering , vol.63 , Issue.5 , pp. 760-788
    • Areias, P.M.A.1    Belytschko, T.2
  • 40
    • 19944417329 scopus 로고    scopus 로고
    • A cohesive model based fragmentation analysis: Effects of strain rate and initial defect distribution
    • Zhou F, Molinari JF, Ramesh KT. A cohesive model based fragmentation analysis: effects of strain rate and initial defect distribution. International Journal of Solids and Structures 2005; 42(18-19):5181-5207.
    • (2005) International Journal of Solids and Structures , vol.42 , Issue.18-19 , pp. 5181-5207
    • Zhou, F.1    Molinari, J.F.2    Ramesh, K.T.3
  • 41
    • 33846205482 scopus 로고    scopus 로고
    • A finite difference analysis of the brittle fragmentation of an expanding ring
    • in press
    • Zhou F, Molinari JF, Ramesh KT. A finite difference analysis of the brittle fragmentation of an expanding ring. Computational Materials Science 2005, in press.
    • (2005) Computational Materials Science
    • Zhou, F.1    Molinari, J.F.2    Ramesh, K.T.3
  • 42
    • 33846310869 scopus 로고    scopus 로고
    • Characteristic fragment size distribution of dynamically expanding rings
    • submitted
    • Zhou F, Molinari JF, Ramesh KT. Characteristic fragment size distribution of dynamically expanding rings. Applied Physics Letters 2005, submitted.
    • (2005) Applied Physics Letters
    • Zhou, F.1    Molinari, J.F.2    Ramesh, K.T.3
  • 43
    • 0000302421 scopus 로고
    • Size-distribution in sudden breakage by the use of entropy maximization
    • Englman R, Rivier N, Jaeger Z. Size-distribution in sudden breakage by the use of entropy maximization. Journal of Applied Physics 1988; 63(9):4766-4768.
    • (1988) Journal of Applied Physics , vol.63 , Issue.9 , pp. 4766-4768
    • Englman, R.1    Rivier, N.2    Jaeger, Z.3
  • 44
    • 0001639926 scopus 로고
    • Fragment size distribution in cluster impact: Shattering versus evaporation by a statistical approach
    • Raz T, Even U, Levine RD. Fragment size distribution in cluster impact: shattering versus evaporation by a statistical approach. Journal of Chemical Physics 1995; 103(13):5394-5409.
    • (1995) Journal of Chemical Physics , vol.103 , Issue.13 , pp. 5394-5409
    • Raz, T.1    Even, U.2    Levine, R.D.3
  • 45
    • 0033365096 scopus 로고    scopus 로고
    • Application of steady state maximum entropy methods to high energy impacts on ceramic targets
    • Smalley LL, Woosley JK. Application of steady state maximum entropy methods to high energy impacts on ceramic targets. International Journal of Impact Engineering 1999; 23:869-882.
    • (1999) International Journal of Impact Engineering , vol.23 , pp. 869-882
    • Smalley, L.L.1    Woosley, J.K.2
  • 46
    • 0019912484 scopus 로고
    • Local inertial effects in dynamic fragmentation
    • Grady DE. Local inertial effects in dynamic fragmentation. Journal of Applied Physics 1982; 53(1):322-325.
    • (1982) Journal of Applied Physics , vol.53 , Issue.1 , pp. 322-325
    • Grady, D.E.1
  • 47
    • 0031432266 scopus 로고    scopus 로고
    • Cohesive crack with rate-dependent opening and viscoelasticity: 1. Mathematical model and scaling
    • Bazant ZP, Li Y-N. Cohesive crack with rate-dependent opening and viscoelasticity: 1. Mathematical model and scaling. International Journal of Fracture 1997; 86:247-265.
    • (1997) International Journal of Fracture , vol.86 , pp. 247-265
    • Bazant, Z.P.1    Li, Y.-N.2
  • 48
    • 0031429598 scopus 로고    scopus 로고
    • Cohesive crack with rate-dependent opening and viscoelasticity: 2. Numerical algorithm, behavior and size effect
    • Li Y-N, Bazant ZP. Cohesive crack with rate-dependent opening and viscoelasticity: 2. Numerical algorithm, behavior and size effect. International Journal of Fracture 1997; 86:267-288.
    • (1997) International Journal of Fracture , vol.86 , pp. 267-288
    • Li, Y.-N.1    Bazant, Z.P.2


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