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Volumn 85, Issue 10, 2011, Pages 1227-1251

A fracture framework for Euler-Bernoulli beams based on a full discontinuous Galerkin formulation/extrinsic cohesive law combination

Author keywords

Cohesive model; Discontinuous Galerkin method; Euler Bernoulli beam; Finite element; Fracture

Indexed keywords

BENDING LOADING; COHESIVE ELEMENT; COHESIVE LAWS; COHESIVE MODEL; COHESIVE ZONE MODEL; CONTINUOUS GALERKIN METHODS; DISCONTINUOUS GALERKIN; DISCONTINUOUS GALERKIN METHODS; DISCRETIZATIONS; EULER BERNOULLI BEAMS; EULER-BERNOULLI BEAM; FINITE-ELEMENT; FRACTURE PROCESS; STRUCTURE STIFFNESS; THIN STRUCTURE;

EID: 79851487509     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3008     Document Type: Article
Times cited : (14)

References (46)
  • 2
    • 77649193465 scopus 로고
    • The Mathematical Theory of Equilibrium Cracks in Brittle Fracture
    • Elsevier: Amsterdam
    • Barenblatt GI. The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, vol. 7. Elsevier: Amsterdam, 1962; 55-129.
    • (1962) , vol.7 , pp. 55-129
    • Barenblatt, G.I.1
  • 3
    • 0030212427 scopus 로고    scopus 로고
    • Computational modelling of impact damage in brittle materials
    • Camacho GT, Ortiz M. Computational modelling of impact damage in brittle materials. International Journal of Solids and Structures 1996; 33(20-22):2899-2938.
    • (1996) International Journal of Solids and Structures , vol.33 , Issue.20-22 , pp. 2899-2938
    • Camacho, G.T.1    Ortiz, M.2
  • 4
    • 34250219643 scopus 로고    scopus 로고
    • Dynamic ductile fracture in aluminum round bars: experiments and simulations
    • Anvari M, Liu J, Thaulow C. Dynamic ductile fracture in aluminum round bars: experiments and simulations. International Journal of Fracture 2007; 143(4):317-332.
    • (2007) International Journal of Fracture , vol.143 , Issue.4 , pp. 317-332
    • Anvari, M.1    Liu, J.2    Thaulow, C.3
  • 8
    • 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(1):279-297.
    • (1999) International Journal of Fracture , vol.95 , Issue.1 , pp. 279-297
    • Pandolfi, A.1    Krysl, P.2    Ortiz, M.3
  • 9
    • 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(14):1943-1961.
    • (2003) Engineering Fracture Mechanics , vol.70 , Issue.14 , pp. 1943-1961
    • Scheider, I.1    Brocks, W.2
  • 10
    • 67349270611 scopus 로고    scopus 로고
    • Continuum coupled cohesive zone elements for analysis of fracture in solid bodies
    • Settgast RR, Rashid MM. Continuum coupled cohesive zone elements for analysis of fracture in solid bodies. Engineering Fracture Mechanics 2009; 76:1614-1635.
    • (2009) Engineering Fracture Mechanics , vol.76 , pp. 1614-1635
    • Settgast, R.R.1    Rashid, M.M.2
  • 11
    • 0035451198 scopus 로고    scopus 로고
    • Crack growth predictions by cohesive zone model for ductile fracture
    • Tvergaard V. Crack growth predictions by cohesive zone model for ductile fracture. Journal of the Mechanics and Physics of Solids 2001; 49(9):2191-2207.
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , Issue.9 , pp. 2191-2207
    • Tvergaard, V.1
  • 12
    • 0035693871 scopus 로고    scopus 로고
    • Physics-based modeling of brittle fracture: cohesive formulations and the application of meshfree methods
    • Klein PA, Foulk JW, Chen EP, Wimmer SA, Gao HJ. Physics-based modeling of brittle fracture: cohesive formulations and the application of meshfree methods. Theoretical and Applied Fracture Mechanics 2001; 37(1-3):99-166.
    • (2001) Theoretical and Applied Fracture Mechanics , vol.37 , Issue.1-3 , pp. 99-166
    • Klein, P.A.1    Foulk, J.W.2    Chen, E.P.3    Wimmer, S.A.4    Gao, H.J.5
  • 13
    • 28144434958 scopus 로고    scopus 로고
    • A compact adjacencybased topological data structure for finite element mesh representation
    • Celes W. A compact adjacencybased topological data structure for finite element mesh representation. International Journal for Numerical Methods in Engineering 2005; 64(11):1529.
    • (2005) International Journal for Numerical Methods in Engineering , vol.64 , Issue.11 , pp. 1529
    • Celes, W.1
  • 14
    • 35748949868 scopus 로고    scopus 로고
    • Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials
    • Zhang (Jenny) Z, Paulino GH, Celes W. Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials. International Journal for Numerical Methods in Engineering 2007; 72(8):893-923.
    • (2007) International Journal for Numerical Methods in Engineering , vol.72 , Issue.8 , pp. 893-923
    • Zhang, Z.1    Paulino, G.H.2    Celes, W.3
  • 16
    • 62949186402 scopus 로고    scopus 로고
    • Parallel simulations of dynamic fracture using extrinsic cohesive elements
    • Dooley I, Mangala S, Kale L, Geubelle P. Parallel simulations of dynamic fracture using extrinsic cohesive elements. Journal of Scientific Computing 2009; 39(1):144-165.
    • (2009) Journal of Scientific Computing , vol.39 , Issue.1 , pp. 144-165
    • Dooley, I.1    Mangala, S.2    Kale, L.3    Geubelle, P.4
  • 17
    • 41949126562 scopus 로고    scopus 로고
    • Two field multibody method for periodic homogenization in fracture mechanics of nonlinear heterogeneous materials
    • Perales F, Bourgeois S, Chrysochoos A, Monerie Y. Two field multibody method for periodic homogenization in fracture mechanics of nonlinear heterogeneous materials. Engineering Fracture Mechanics 2008; 75(11):3378-3398.
    • (2008) Engineering Fracture Mechanics , vol.75 , Issue.11 , pp. 3378-3398
    • Perales, F.1    Bourgeois, S.2    Chrysochoos, A.3    Monerie, Y.4
  • 18
    • 79851474743 scopus 로고    scopus 로고
    • Nonsmooth fracture dynamics using a cohesive zone approach. Technical Report, INRIA,
    • Acary V, Monerie Y, Acary V, Monerie Y, Acary V et al. Nonsmooth fracture dynamics using a cohesive zone approach. Technical Report, INRIA, 2006.
    • (2006)
    • Acary, V.1    Monerie, Y.2    Acary, V.3    Monerie, Y.4    Acary, V.5
  • 19
    • 79851477367 scopus 로고    scopus 로고
    • Triangular mesh methods for the neutron transport equation. Conference: National Topical Meeting on Mathematical Models and Computational Techniques for Analysis of Nuclear Systems, Ann Arbor, MI, U.S.A., 8 April 1973. Other Information: Orig. Receipt Date: 31-Dec-73, 1973.
    • Hill TR, Reed WH. Triangular mesh methods for the neutron transport equation. Conference: National Topical Meeting on Mathematical Models and Computational Techniques for Analysis of Nuclear Systems, Ann Arbor, MI, U.S.A., 8 April 1973. Other Information: Orig. Receipt Date: 31-Dec-73, 1973.
    • Hill, T.R.1    Reed, W.H.2
  • 21
    • 0036979835 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for the plate equation
    • Hansbo P, Larson MG. A discontinuous Galerkin method for the plate equation. Calcolo 2002; 39(1):41-59.
    • (2002) Calcolo , vol.39 , Issue.1 , pp. 41-59
    • Hansbo, P.1    Larson, M.G.2
  • 22
    • 55449117584 scopus 로고    scopus 로고
    • Optimal BV estimates for a discontinuous Galerkin method for linear elasticity
    • Sulsky D, Lew A, Neff P, Ortiz M. Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. Applied Mathematics Research Express 2004; 2004(3):73-106.
    • (2004) Applied Mathematics Research Express , vol.2004 , Issue.3 , pp. 73-106
    • Sulsky, D.1    Lew, A.2    Neff, P.3    Ortiz, M.4
  • 23
    • 34547377642 scopus 로고    scopus 로고
    • Locking-free optimal discontinuous Galerkin methods for Timoshenko beams
    • Celiker F, Cockburn B, Stolarski HK. Locking-free optimal discontinuous Galerkin methods for Timoshenko beams. SIAM Journal on Numerical Analysis 2006; 44(6):2297-2325.
    • (2006) SIAM Journal on Numerical Analysis , vol.44 , Issue.6 , pp. 2297-2325
    • Celiker, F.1    Cockburn, B.2    Stolarski, H.K.3
  • 25
    • 33749383237 scopus 로고    scopus 로고
    • A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
    • Radovitzky R, Noels L. A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications. International Journal for Numerical Methods in Engineering 2006; 68(1):64-97.
    • (2006) International Journal for Numerical Methods in Engineering , vol.68 , Issue.1 , pp. 64-97
    • Radovitzky, R.1    Noels, L.2
  • 28
    • 35348821188 scopus 로고    scopus 로고
    • Alternative approaches for the derivation of discontinuous Galerkin methods for nonlinear mechanics
    • Noels L, Radovitzky R. Alternative approaches for the derivation of discontinuous Galerkin methods for nonlinear mechanics. Journal of Applied Mechanics 2007; 74(5):1031-1036.
    • (2007) Journal of Applied Mechanics , vol.74 , Issue.5 , pp. 1031-1036
    • Noels, L.1    Radovitzky, R.2
  • 30
    • 84862288035 scopus 로고    scopus 로고
    • Some applications of discontinuous Galerkin methods in solid mechanics. IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media, Cape Town, South Africa, 14-18 January 2008
    • Rangarajan R, Lew A, Eyck A. Some applications of discontinuous Galerkin methods in solid mechanics. IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media, Cape Town, South Africa, 14-18 January 2008; 227-236.
    • Rangarajan, R.1    Lew, A.2    Eyck, A.3
  • 31
    • 50149088362 scopus 로고    scopus 로고
    • Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: motivation, formulation, and numerical examples
    • Lew A, Eyck A, Celiker F. Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: motivation, formulation, and numerical examples. Computer Methods in Applied Mechanics and Engineering 2008; 197(45-48):3605-3622.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.45-48 , pp. 3605-3622
    • Lew, A.1    Eyck, A.2    Celiker, F.3
  • 32
    • 44949179935 scopus 로고    scopus 로고
    • An explicit discontinuous Galerkin method for non-linear solid dynamics: formulation, parallel implementation and scalability properties
    • Radovitzky R, Noels L. An explicit discontinuous Galerkin method for non-linear solid dynamics: formulation, parallel implementation and scalability properties. International Journal for Numerical Methods in Engineering 2008; 74(9):1393-1420.
    • (2008) International Journal for Numerical Methods in Engineering , vol.74 , Issue.9 , pp. 1393-1420
    • Radovitzky, R.1    Noels, L.2
  • 34
    • 64049093240 scopus 로고    scopus 로고
    • A discontinuous Galerkin formulation of non-linear Kirchhoff-Love shells
    • Noels L. A discontinuous Galerkin formulation of non-linear Kirchhoff-Love shells. International Journal for Numerical Methods in Engineering 2009; 78(3):296-323.
    • (2009) International Journal for Numerical Methods in Engineering , vol.78 , Issue.3 , pp. 296-323
    • Noels, L.1
  • 35
    • 77950200718 scopus 로고    scopus 로고
    • An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics
    • Shen Y, Lew A. An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics. International Journal for Numerical Methods in Engineering 2009; 82(6):716-755.
    • (2009) International Journal for Numerical Methods in Engineering , vol.82 , Issue.6 , pp. 716-755
    • Shen, Y.1    Lew, A.2
  • 36
    • 3242686284 scopus 로고    scopus 로고
    • A hybrid discontinuous Galerkin/interface method for the computational modelling of failure
    • Mergheim J, Kuhl E, Steinmann P. A hybrid discontinuous Galerkin/interface method for the computational modelling of failure. Communications in Numerical Methods in Engineering 2004; 20(7):511-519.
    • (2004) Communications in Numerical Methods in Engineering , vol.20 , Issue.7 , pp. 511-519
    • Mergheim, J.1    Kuhl, E.2    Steinmann, P.3
  • 40
    • 0037025251 scopus 로고    scopus 로고
    • Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
    • Engel G, Garikipati K, Hughes TJR, Larson MG, Mazzei L, Taylor RL. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Computer Methods in Applied Mechanics and Engineering 2002; 191(34):3669-3750.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.34 , pp. 3669-3750
    • Engel, G.1    Garikipati, K.2    Hughes, T.J.R.3    Larson, M.G.4    Mazzei, L.5    Taylor, R.L.6
  • 41
    • 0024619943 scopus 로고
    • On stress resultant geometrically exact shell model. Part i: formulation and optimal parametrization
    • Simo JC, Fox DD. On stress resultant geometrically exact shell model. Part i: formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering 1989; 72(3):267-304.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.72 , Issue.3 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 42
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell model. Part ii: the linear theory; computational aspects
    • Simo JC, Fox DD, Rifai MS. On a stress resultant geometrically exact shell model. Part ii: the linear theory; computational aspects. Computer Methods in Applied Mechanics and Engineering 1989; 73(1):53-92.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.73 , Issue.1 , pp. 53-92
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 43
    • 78649629747 scopus 로고
    • Mecanique des Materiaux
    • 3rd edn). De Boeck: Bruxelles,
    • Cescotto S, Massonnet C. Mecanique des Materiaux (3rd edn). De Boeck: Bruxelles, 1994.
    • (1994)
    • Cescotto, S.1    Massonnet, C.2


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