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Volumn 61, Issue 11, 2004, Pages 1894-1920

Bounds for element size in a variable stiffness cohesive finite element model

Author keywords

Ceramic composite; Cohesive finite element method; Dynamic fracture; Element size

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; CRACK INITIATION; FINITE ELEMENT METHOD; FRACTURE; MATHEMATICAL MODELS; MICROSTRUCTURE; MORPHOLOGY;

EID: 9344234980     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1138     Document Type: Article
Times cited : (179)

References (69)
  • 1
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium of cracks in brittle fracture
    • Barenblatt 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
    • Barenblatt, G.I.1
  • 3
    • 0000562562 scopus 로고
    • A continuum model for void nucleation by inclusion debonding
    • Needleman A. A continuum model for void nucleation by inclusion debonding. Journal of Applied Mechanics 1987; 38:289-324.
    • (1987) Journal of Applied Mechanics , vol.38 , pp. 289-324
    • Needleman, A.1
  • 4
    • 0025449007 scopus 로고
    • Effect of fiber debonding in a whisker-reinforced material
    • Tvergaard V. Effect of fiber debonding in a whisker-reinforced material. Material Science and Engineering 1990; A125:203-213.
    • (1990) Material Science and Engineering , vol.A125 , pp. 203-213
    • Tvergaard, V.1
  • 6
    • 0024982575 scopus 로고
    • An analysis of decohesion along an imperfect interface
    • Needleman A. An analysis of decohesion along an imperfect interface. International Journal of Fracture 1990; 42:21-40.
    • (1990) International Journal of Fracture , vol.42 , pp. 21-40
    • Needleman, A.1
  • 8
    • 44049109778 scopus 로고
    • The relation between crack growth and fracture process parameters in elastic-plastic solids
    • Tvergaard V, Hutchinson JW. The relation between crack growth and fracture process parameters in elastic-plastic solids. Journal of the Mechanics and Physics of Solids 1992; 40:1377-1397.
    • (1992) Journal of the Mechanics and Physics of Solids , vol.40 , pp. 1377-1397
    • Tvergaard, V.1    Hutchinson, J.W.2
  • 12
    • 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
  • 13
    • 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
  • 17
    • 0032659576 scopus 로고    scopus 로고
    • Modeling and simulation of dynamic fragmentation in brittle materials
    • Miller O, Freund LB, Needleman A. Modeling and simulation of dynamic fragmentation in brittle materials. International Journal of Fracture 1999; 96(2):101-125.
    • (1999) International Journal of Fracture , vol.96 , Issue.2 , pp. 101-125
    • Miller, O.1    Freund, L.B.2    Needleman, A.3
  • 18
    • 0032180548 scopus 로고    scopus 로고
    • A finite deformation continuum/discrete model for the description of fragmentation and damage in brittle materials
    • Espinosa H, Zavattieri P, Dwivedi SK. A finite deformation continuum /discrete model for the description of fragmentation and damage in brittle materials. Journal of the Mechanics and Physics of Solids 1998; 46(10):1909-1942.
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , Issue.10 , pp. 1909-1942
    • Espinosa, H.1    Zavattieri, P.2    Dwivedi, S.K.3
  • 19
    • 0032138490 scopus 로고    scopus 로고
    • Adaptive FEM computation of geometrical and material nonlinearities with application to brittle materials
    • Espinosa H, Zavattieri P, Emore G. Adaptive FEM computation of geometrical and material nonlinearities with application to brittle materials. Mechanics of Materials 1998; 29:275-305.
    • (1998) Mechanics of Materials , vol.29 , pp. 275-305
    • Espinosa, H.1    Zavattieri, P.2    Emore, G.3
  • 20
    • 0032673879 scopus 로고    scopus 로고
    • Micromechanical modeling of mixed-mode crack growth in ceramic composites
    • Miller K, McDowell DL (eds). ASTM: Philadelphia
    • Zhai J, Zhou M. Micromechanical modeling of mixed-mode crack growth in ceramic composites. In Mixed Mode Crack Behavior, Miller K, McDowell DL (eds). ASTM: Philadelphia, 1999; 174-200.
    • (1999) Mixed Mode Crack Behavior , pp. 174-200
    • Zhai, J.1    Zhou, M.2
  • 22
    • 0032311897 scopus 로고    scopus 로고
    • Impact-induced delamination of composites: A 2-D simulation
    • Geubelle P, Baylor J. Impact-induced delamination of composites: a 2-D simulation. Composites Part B: Engineering 1998; 29:589-602.
    • (1998) Composites Part B: Engineering , vol.29 , pp. 589-602
    • Geubelle, P.1    Baylor, J.2
  • 23
    • 85119686339 scopus 로고    scopus 로고
    • Real-time detection and explicit finite element simulation of delamination in composite laminates under impact loading
    • Orlando, FL, USA
    • Minnaar K, Zhou M. Real-time detection and explicit finite element simulation of delamination in composite laminates under impact loading. In AMD ASME IMECE, Orlando, FL, USA, 2000; 67-78.
    • (2000) AMD ASME IMECE , pp. 67-78
    • Minnaar, K.1    Zhou, M.2
  • 24
    • 9344256817 scopus 로고    scopus 로고
    • Experimental characterization and numerical simulation of impact damage in composite laminates
    • New York
    • Minnaar K, Zhou M. Experimental characterization and numerical simulation of impact damage in composite laminates. In ASME IMECE, New York, 2001.
    • (2001) ASME IMECE
    • Minnaar, K.1    Zhou, M.2
  • 25
    • 0034677865 scopus 로고    scopus 로고
    • Modeling impact induced delamination of woven fiber reinforced composites with contact/cohesive laws
    • Espinosa HD, Dwivedi S, Lu H-C. Modeling impact induced delamination of woven fiber reinforced composites with contact/cohesive laws. Computer Methods in Applied Mechanics and Engineering 2000; 183:259-290.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.183 , pp. 259-290
    • Espinosa, H.D.1    Dwivedi, S.2    Lu, H.-C.3
  • 31
    • 0037156831 scopus 로고    scopus 로고
    • Ductile tearing in thin aluminum panels: Experiments and analyses using large-displacement, 3-D surface cohesive elements
    • Roychowdhury S, Arun Roy YD, Dodds J, Robert H. Ductile tearing in thin aluminum panels: experiments and analyses using large-displacement, 3-D surface cohesive elements. Engineering Fracture Mechanics 2002; 69(8):983-1002.
    • (2002) Engineering Fracture Mechanics , vol.69 , Issue.8 , pp. 983-1002
    • Roychowdhury, S.1    Arun Roy, Y.D.2    Dodds, J.3    Robert, H.4
  • 33
    • 0037590081 scopus 로고    scopus 로고
    • Simulation of cup-cone fracture using the cohesive model
    • Scheider I, Brocks W. Simulation of cup-cone fracture using the cohesive model. Engineering Fracture Mechanics 2003; 70:1943-1961.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1943-1961
    • Scheider, I.1    Brocks, W.2
  • 34
  • 35
    • 0038265361 scopus 로고    scopus 로고
    • Computational analysis of thin coating layer failure using a cohesive model and gradient plasticity
    • Yuan H, Chen J. Computational analysis of thin coating layer failure using a cohesive model and gradient plasticity. Engineering Fracture Mechanics 2003; 70:1929-1942.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1929-1942
    • Yuan, H.1    Chen, J.2
  • 36
    • 0038265528 scopus 로고    scopus 로고
    • Cohesive fracture modeling of elastic-plastic crack growth in functionally graded materials
    • Jin Z-H, Paulino GH, Dodds RH Jr. Cohesive fracture modeling of elastic-plastic crack growth in functionally graded materials. Engineering Fracture Mechanics 2003; 70:1885-1912.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1885-1912
    • Jin, Z.-H.1    Paulino, G.H.2    Dodds Jr., R.H.3
  • 37
    • 0038604259 scopus 로고    scopus 로고
    • Cohesive crack model crack description of ductile to brittle size-scale transition: Dimensional analysis vs. renormalization group theory
    • Carpinteri A, Cornetti P, Barpi F, Valente S. Cohesive crack model crack description of ductile to brittle size-scale transition: dimensional analysis vs. renormalization group theory. Engineering Fracture Mechanics 2003; 70:1809-1839.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1809-1839
    • Carpinteri, A.1    Cornetti, P.2    Barpi, F.3    Valente, S.4
  • 38
    • 0031994219 scopus 로고    scopus 로고
    • Numerical simulation of crack growth in an isotropic solid with randomized cohesive bonds
    • Gao H, Klein P. Numerical simulation of crack growth in an isotropic solid with randomized cohesive bonds. Journal of the Mechanics and Physics of Solids 1998; 46:187-218.
    • (1998) Journal of the Mechanics and Physics of Solids , vol.46 , pp. 187-218
    • Gao, H.1    Klein, P.2
  • 39
    • 0037927919 scopus 로고    scopus 로고
    • Modeling fracture in nanomaterials via a virtual internal bond method
    • Gao H, Baohua J. Modeling fracture in nanomaterials via a virtual internal bond method. Engineering Fracture Mechanics 2003; 70:1777-1791.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1777-1791
    • Gao, H.1    Baohua, J.2
  • 40
    • 0038604295 scopus 로고    scopus 로고
    • Numerical aspects of cohesive zone models
    • de Borst R. Numerical aspects of cohesive zone models. Engineering Fracture Mechanics 2003; 70: 1743-1757.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1743-1757
    • de Borst, R.1
  • 42
    • 9344269494 scopus 로고    scopus 로고
    • Modeling dynamic fracture in transversely isotropic composites: A cohesive approach
    • California Institute of Technology, Caltech, ASCI/2000.097
    • Pandolfi A, Yu C, Corigliano A, Ortiz M. Modeling dynamic fracture in transversely isotropic composites: a cohesive approach. California Institute of Technology, Caltech, 2000. ASCI/2000.097.
    • (2000)
    • Pandolfi, A.1    Yu, C.2    Corigliano, A.3    Ortiz, M.4
  • 43
    • 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; 39:6135-6157.
    • (2002) International Journal of Solids and Structures , vol.39 , pp. 6135-6157
    • Yu, C.1    Pandolfi, A.2    Ortiz, M.3    Coker, D.4    Rosakis, A.J.5
  • 44
    • 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 Computations 2002; 18:148-159.
    • (2002) Engineering Computations , vol.18 , pp. 148-159
    • Pandolfi, A.1    Ortiz, M.2
  • 45
    • 0038211545 scopus 로고    scopus 로고
    • On the cohesive surface methodology for fracture of brittle heterogeneous solids
    • Ph.D. Thesis, Technical University Delft
    • Tijssens M. On the cohesive surface methodology for fracture of brittle heterogeneous solids. Ph.D. Thesis, Technical University Delft, 2000.
    • (2000)
    • Tijssens, M.1
  • 46
    • 0038280304 scopus 로고    scopus 로고
    • A critical evaluation of dynamic fracture simulations using cohesive surfaces
    • Falk MA, Needleman A, Rice JR. A critical evaluation of dynamic fracture simulations using cohesive surfaces. Journal de Physique IV 2001; 11:43-52.
    • (2001) Journal de Physique IV , vol.11 , pp. 43-52
    • Falk, M.A.1    Needleman, A.2    Rice, J.R.3
  • 47
    • 0033097151 scopus 로고    scopus 로고
    • Finite deformation irreversible cohesive elements for three dimensional crack-propagation analysis
    • Ortiz M, Pandolfi A. Finite deformation irreversible cohesive elements for three dimensional crack-propagation analysis. International Journal for Numerical Methods in Engineering 1999; 44(9 ):1267-1282.
    • (1999) International Journal for Numerical Methods in Engineering , vol.44 , Issue.9 , pp. 1267-1282
    • Ortiz, M.1    Pandolfi, A.2
  • 49
    • 2342624600 scopus 로고    scopus 로고
    • Nonlocal separation constitutive laws for interfaces and their relation to nanoscale simulations
    • Spearot DE, Jacob KI, McDowell DL. Nonlocal separation constitutive laws for interfaces and their relation to nanoscale simulations. Mechanics of Materials 2004; 36(9):825-847.
    • (2004) Mechanics of Materials , vol.36 , Issue.9 , pp. 825-847
    • Spearot, D.E.1    Jacob, K.I.2    McDowell, D.L.3
  • 50
    • 0037590112 scopus 로고    scopus 로고
    • Effect of particle structure on model-I fracture process in concrete
    • Prado EP, van Mier JGM. Effect of particle structure on model-I fracture process in concrete. Engineering Fracture Mechanics 2003; 70:1793-1807.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1793-1807
    • Prado, E.P.1    van Mier, J.G.M.2
  • 51
    • 0037590041 scopus 로고    scopus 로고
    • Determination of cohesive laws by the J integral approach
    • Sorensen BF, Jacobsen TK. Determination of cohesive laws by the J integral approach. Engineering Fracture Mechanics 2003; 70:1841-1858.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 1841-1858
    • Sorensen, B.F.1    Jacobsen, T.K.2
  • 52
    • 0036681232 scopus 로고    scopus 로고
    • Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behaviour
    • Nguyen O, Ortiz M. Coarse-graining and renormalization of atomistic binding relations and universal macroscopic cohesive behaviour. Journal of the Mechanics and Physics of Solids 2002; 50(8 ):1727-1741.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , Issue.8 , pp. 1727-1741
    • Nguyen, O.1    Ortiz, M.2
  • 53
    • 9344256818 scopus 로고    scopus 로고
    • Time-continuous cohesive interface finite elements in explicit dynamics
    • Columbia University, New York, NY
    • Papoulia KD, Vavasis SA. Time-continuous cohesive interface finite elements in explicit dynamics, in 15th ASCE Engineering Mechanics Conference. Columbia University, New York, NY, 2002.
    • (2002) 15th ASCE Engineering Mechanics Conference
    • Papoulia, K.D.1    Vavasis, S.A.2
  • 54
    • 0008733549 scopus 로고    scopus 로고
    • Physics-based modeling of brittle fracture: Cohesive formulations and the application od meshfree methods
    • Sandia National Laboratories, USA, SAND2001-8099
    • Klein P. Foulk J, Chen E, Wimmer S, Gao H. Physics-based modeling of brittle fracture: cohesive formulations and the application od meshfree methods. Sandia National Laboratories, USA, 2000. SAND2001-8099.
    • (2000)
    • Klein, P.1    Foulk, J.2    Chen, E.3    Wimmer, S.4    Gao, H.5
  • 55
    • 0141910746 scopus 로고    scopus 로고
    • Analysis of energy balance when using cohesive zone models to simulate fracture processes
    • Shet C, Chandra N. Analysis of energy balance when using cohesive zone models to simulate fracture processes. Journal of Engineering Materials and Technology 2002; 124:440-450.
    • (2002) Journal of Engineering Materials and Technology , vol.124 , pp. 440-450
    • Shet, C.1    Chandra, N.2
  • 56
    • 9344233392 scopus 로고    scopus 로고
    • Experimental and numerical analysis of damage in laminate composites under low velocity impact loading
    • Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA
    • Minnaar K. Experimental and numerical analysis of damage in laminate composites under low velocity impact loading. Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA, 2002.
    • (2002)
    • Minnaar, K.1
  • 59
    • 12344299450 scopus 로고    scopus 로고
    • Micromechanical modeling of dynamic fracture using the cohesive finite element method
    • Zhai J, Tomar V, Zhou M. Micromechanical modeling of dynamic fracture using the cohesive finite element method. Journal of Engineering Materials and Technology 2004; 126:182-191.
    • (2004) Journal of Engineering Materials and Technology , vol.126 , pp. 182-191
    • Zhai, J.1    Tomar, V.2    Zhou, M.3
  • 60
    • 9344264706 scopus 로고    scopus 로고
    • Deterministic and stochastic analyses of fracture processes in a brittle microstructure system
    • submitted
    • Tomar V, Zhou M. Deterministic and stochastic analyses of fracture processes in a brittle microstructure system. Engineering Fracture Mechanics 2004, submitted.
    • (2004) Engineering Fracture Mechanics
    • Tomar, V.1    Zhou, M.2
  • 64
    • 0003077565 scopus 로고
    • Mathematical analysis in the mechanics of fracture
    • Liebowitz H (ed.), Academic Press: New York
    • Rice JR. Mathematical analysis in the mechanics of fracture. In Fracture, Liebowitz H (ed.), vol. 2. Academic Press: New York, 1968; 191-311.
    • (1968) Fracture , vol.2 , pp. 191-311
    • Rice, J.R.1
  • 65
    • 0001560731 scopus 로고
    • Asymptotic analysis of a cohesive crack: 1. Theoretical background
    • Planas J, Elices M. Asymptotic analysis of a cohesive crack: 1. Theoretical background. International Journal of Fracture 1992; 55:153-177.
    • (1992) International Journal of Fracture , vol.55 , pp. 153-177
    • Planas, J.1    Elices, M.2
  • 66
    • 0001428314 scopus 로고
    • The mechanics of earthquake rupture
    • Italian Physical Society: Italy, North-Holland Publ. Co.: Amsterdam
    • Rice JR. The mechanics of earthquake rupture. In Physics of the Earth's Interior. Italian Physical Society: Italy, North-Holland Publ. Co.: Amsterdam, 1980; 555-649.
    • (1980) Physics of the Earth's Interior , pp. 555-649
    • Rice, J.R.1
  • 69
    • 9344221742 scopus 로고    scopus 로고
    • Composite ceramics
    • USSTACOM DAAEO7-95-C-R040
    • Logan KV. Composite ceramics. Final Technical Report. USSTACOM DAAEO7-95-C-R040. 1996.
    • (1996) Final Technical Report
    • Logan, K.V.1


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