메뉴 건너뛰기




Volumn 78, Issue 12, 2011, Pages 2470-2485

Effective 3D failure simulations by combining the advantages of embedded Strong Discontinuity Approaches and classical interface elements

Author keywords

Crack propagation; Intersecting cracks; Local approach; Strong Discontinuity Approach

Indexed keywords

CRACK PATH CONTINUITY; CRACK PATHS; DEFORMATION MAPPING; EMBEDDED STRONG DISCONTINUITIES; FAILURE SIMULATION; FINITE ELEMENT; FINITE ELEMENT FORMULATIONS; INTERFACE ELEMENTS; INTERSECTING CRACKS; LOCAL APPROACHES; LOCKING EFFECTS; MATERIAL FAILURES; POSITIVE FEATURES; PREDICTIVE ABILITIES; STRONG DISCONTINUITY APPROACHES; TANGENT MATRIX; THREE-DIMENSIONAL ANALYSIS; TRACKING ALGORITHM;

EID: 79960294127     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2011.06.007     Document Type: Article
Times cited : (43)

References (56)
  • 1
    • 20444437547 scopus 로고    scopus 로고
    • Analysis of three-dimensional crack initiation and propagation using the extended finite element method
    • Areias P., Belytschko T. Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Int J Numer Methods Engng 2005, 63:760-788.
    • (2005) Int J Numer Methods Engng , vol.63 , pp. 760-788
    • Areias, P.1    Belytschko, T.2
  • 2
    • 0030216527 scopus 로고    scopus 로고
    • An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids
    • Armero F., Garikipati K. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. Int J Solids Struct 1996, 33:2863-2885.
    • (1996) Int J Solids Struct , vol.33 , pp. 2863-2885
    • Armero, F.1    Garikipati, K.2
  • 3
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium cracks in brittle fracture
    • Barenblatt G. The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 1962, 7:55-129.
    • (1962) Adv Appl Mech , vol.7 , pp. 55-129
    • Barenblatt, G.1
  • 4
    • 0032649861 scopus 로고    scopus 로고
    • Elastic crack growth in finite elements with minimal remeshing
    • Belytschko T., Black T. Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Engng 1999, 45:601-620.
    • (1999) Int J Numer Methods Engng , vol.45 , pp. 601-620
    • Belytschko, T.1    Black, T.2
  • 5
    • 44749087937 scopus 로고    scopus 로고
    • Assumed enhanced strain and the extended finite element methods: a unification of concepts
    • Borja R. Assumed enhanced strain and the extended finite element methods: a unification of concepts. Comput Methods Appl Mech Engng 2008, 197:2789-2803.
    • (2008) Comput Methods Appl Mech Engng , vol.197 , pp. 2789-2803
    • Borja, R.1
  • 6
    • 1442309644 scopus 로고    scopus 로고
    • A three dimensional setting for strong discontinuities modelling in failure mechanics.
    • Dissertation. Barcelona: UPC;
    • Chaves E. A three dimensional setting for strong discontinuities modelling in failure mechanics. Dissertation. Barcelona: UPC; 2003.
    • (2003)
    • Chaves, E.1
  • 7
    • 0003339606 scopus 로고
    • Mathematical elasticity
    • North-Holland, Amsterdam
    • Ciarlet P. Mathematical elasticity. Three-dimensional elasticity 1988, vol. 1. North-Holland, Amsterdam.
    • (1988) Three-dimensional elasticity , vol.1
    • Ciarlet, P.1
  • 8
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • Coleman B., Noll W. The thermodynamics of elastic materials with heat conduction and viscosity. Arch Rational Mech Anal 1963, 13:167-178.
    • (1963) Arch Rational Mech Anal , vol.13 , pp. 167-178
    • Coleman, B.1    Noll, W.2
  • 9
    • 0000884328 scopus 로고
    • Modelling of reinforced concrete behaviour for finite element analysis of bridge slabs
    • Pineridge Press, Swansea,
    • Cope R., Rao P., Clark L., Norris P. Modelling of reinforced concrete behaviour for finite element analysis of bridge slabs. Numerical methods for nonlinear problems 1980, Pineridge Press, Swansea, p. 457-70.
    • (1980) Numerical methods for nonlinear problems , pp. 457-70
    • Cope, R.1    Rao, P.2    Clark, L.3    Norris, P.4
  • 10
    • 0004045990 scopus 로고    scopus 로고
    • Non-linear analysis of frictional materials.
    • Dissertation. Delft University of Technology;
    • de Borst R. Non-linear analysis of frictional materials. Dissertation. Delft University of Technology; 2001.
    • (2001)
    • de Borst, R.1
  • 11
    • 50549180512 scopus 로고
    • Yielding of steel sheets containing slits
    • Dugdale D. Yielding of steel sheets containing slits. J Mech Phys Solids 1960, 8:100-108.
    • (1960) J Mech Phys Solids , vol.8 , pp. 100-108
    • Dugdale, D.1
  • 12
    • 0025473074 scopus 로고
    • Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions
    • Dvorkin E., Cuitino A., Gioia G. Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions. Int J Numer Methods Engng 1990, 30:541-564.
    • (1990) Int J Numer Methods Engng , vol.30 , pp. 541-564
    • Dvorkin, E.1    Cuitino, A.2    Gioia, G.3
  • 13
    • 33846959511 scopus 로고    scopus 로고
    • Three-dimensional fracture simulations based on the SDA
    • Feist C., Hofstetter G. Three-dimensional fracture simulations based on the SDA. Int J Numer Anal Methods Geomech 2007, 31:189-212.
    • (2007) Int J Numer Anal Methods Geomech , vol.31 , pp. 189-212
    • Feist, C.1    Hofstetter, G.2
  • 14
    • 0032293585 scopus 로고    scopus 로고
    • Mixed mode fracture of concrete under proportional and nonproportional loading
    • Gálvez J., Elices M., Guinea G., Planas J. Mixed mode fracture of concrete under proportional and nonproportional loading. Int J Fract 1998, 94:267-284.
    • (1998) Int J Fract , vol.94 , pp. 267-284
    • Gálvez, J.1    Elices, M.2    Guinea, G.3    Planas, J.4
  • 15
    • 0242710170 scopus 로고    scopus 로고
    • Geometrically non-linear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues
    • Gasser T., Holzapfel G. Geometrically non-linear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues. Comput Methods Appl Mech Engng 2003, 192:5059-5098.
    • (2003) Comput Methods Appl Mech Engng , vol.192 , pp. 5059-5098
    • Gasser, T.1    Holzapfel, G.2
  • 16
    • 33745054965 scopus 로고    scopus 로고
    • 3D Crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths
    • Gasser T., Holzapfel G. 3D Crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths. Comput Methods Appl Mech Engng 2006, 195:5198-5219.
    • (2006) Comput Methods Appl Mech Engng , vol.195 , pp. 5198-5219
    • Gasser, T.1    Holzapfel, G.2
  • 18
    • 0037140063 scopus 로고    scopus 로고
    • Non-planar 3D crack growth by the extended finite element and level sets - Part II: Level set update
    • Gravouil A., Moës N., Belytschko T. Non-planar 3D crack growth by the extended finite element and level sets - Part II: Level set update. Int J Numer Methods Engng 2002, 53:2569-2586.
    • (2002) Int J Numer Methods Engng , vol.53 , pp. 2569-2586
    • Gravouil, A.1    Moës, N.2    Belytschko, T.3
  • 19
    • 61349160052 scopus 로고    scopus 로고
    • A computational framework of three-dimensional configurational-force-driven brittle crack propagation
    • Gürses E., Miehe C. A computational framework of three-dimensional configurational-force-driven brittle crack propagation. Comput Methods Appl Mech Engng 2009, 198:1413-1428.
    • (2009) Comput Methods Appl Mech Engng , vol.198 , pp. 1413-1428
    • Gürses, E.1    Miehe, C.2
  • 20
    • 0037159814 scopus 로고    scopus 로고
    • An unfitted finite element method, based on Nitsche's method, for elliptic interface problems
    • Hansbo A., Hansbo P. An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. Comput Methods Appl Mech Engng 2002, 191:5537-5552.
    • (2002) Comput Methods Appl Mech Engng , vol.191 , pp. 5537-5552
    • Hansbo, A.1    Hansbo, P.2
  • 21
    • 0004725612 scopus 로고
    • Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
    • Hillerborg A., Modeer M., Peterssen P. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 1976, 6:773-782.
    • (1976) Cem Concr Res , vol.6 , pp. 773-782
    • Hillerborg, A.1    Modeer, M.2    Peterssen, P.3
  • 22
    • 79960290876 scopus 로고    scopus 로고
    • Theory and numerics of three-dimensional strong discontinuities at finite strains.
    • Dissertation. University of Kaiserslautern;
    • Jäger P. Theory and numerics of three-dimensional strong discontinuities at finite strains. Dissertation. University of Kaiserslautern; 2009.
    • (2009)
    • Jäger, P.1
  • 23
    • 60949110368 scopus 로고    scopus 로고
    • Modeling three-dimensional crack propagation - a comparison of crack path tracking strategies
    • Jäger P., Steinmann P., Kuhl E. Modeling three-dimensional crack propagation - a comparison of crack path tracking strategies. Int J Numer Methods Engng 2008, 76:1328-1352.
    • (2008) Int J Numer Methods Engng , vol.76 , pp. 1328-1352
    • Jäger, P.1    Steinmann, P.2    Kuhl, E.3
  • 24
    • 0034228526 scopus 로고    scopus 로고
    • Comparative study on finite elements with embedded discontinuities
    • Jirásek M. Comparative study on finite elements with embedded discontinuities. Comput Methods Appl Mech Engng 2000, 188:307-330.
    • (2000) Comput Methods Appl Mech Engng , vol.188 , pp. 307-330
    • Jirásek, M.1
  • 25
    • 0035961277 scopus 로고    scopus 로고
    • Embedded crack model. Part I: Basic formulation. Part II: Combination with smeared cracks
    • Jirásek M., Zimmermann T. Embedded crack model. Part I: Basic formulation. Part II: Combination with smeared cracks. Int J Numer Methods Engng 2001, 50:1269-1305.
    • (2001) Int J Numer Methods Engng , vol.50 , pp. 1269-1305
    • Jirásek, M.1    Zimmermann, T.2
  • 26
    • 44749083357 scopus 로고    scopus 로고
    • New finite elements with embedded strong discontinuities for finite deformations
    • Linder C., Armero F. New finite elements with embedded strong discontinuities for finite deformations. Comput Methods Appl Mech Engng 2008, 197:3138-3170.
    • (2008) Comput Methods Appl Mech Engng , vol.197 , pp. 3138-3170
    • Linder, C.1    Armero, F.2
  • 27
    • 33744937342 scopus 로고    scopus 로고
    • A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities
    • Mergheim J., Steinmann P. A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities. Comput Methods Appl Mech Engng 2006, 195(37-42):5037-5052.
    • (2006) Comput Methods Appl Mech Engng , vol.195 , Issue.37-42 , pp. 5037-5052
    • Mergheim, J.1    Steinmann, P.2
  • 28
    • 2942698135 scopus 로고    scopus 로고
    • Finite Elemente mit sprungstetigen Abbildungen des Verschiebungsfeldes für numerische Analysen lokalisierter Versagenszustände in Tragwerken.
    • Dissertation. Ruhr University Bochum;
    • Mosler J. Finite Elemente mit sprungstetigen Abbildungen des Verschiebungsfeldes für numerische Analysen lokalisierter Versagenszustände in Tragwerken. Dissertation. Ruhr University Bochum; 2002.
    • (2002)
    • Mosler, J.1
  • 29
    • 11044220415 scopus 로고    scopus 로고
    • On the modeling of highly localized deformations induced by material failure: the strong discontinuity approach
    • Mosler J. On the modeling of highly localized deformations induced by material failure: the strong discontinuity approach. Arch Comput Methods Engng 2004, 11:389-446.
    • (2004) Arch Comput Methods Engng , vol.11 , pp. 389-446
    • Mosler, J.1
  • 30
    • 21444446371 scopus 로고    scopus 로고
    • On advanced solution strategies to overcome locking effects in strong discontinuity approaches
    • Mosler J. On advanced solution strategies to overcome locking effects in strong discontinuity approaches. Int J Numer Methods Engng 2005, 63:1313-1341.
    • (2005) Int J Numer Methods Engng , vol.63 , pp. 1313-1341
    • Mosler, J.1
  • 31
    • 60949083302 scopus 로고    scopus 로고
    • On the numerical modeling of localized material failure at finite strains by means of variational mesh adaption and cohesive elements.
    • Habilitation. Ruhr University Bochum;
    • Mosler J. On the numerical modeling of localized material failure at finite strains by means of variational mesh adaption and cohesive elements. Habilitation. Ruhr University Bochum; 2007.
    • (2007)
    • Mosler, J.1
  • 32
    • 0041629180 scopus 로고    scopus 로고
    • 3D modelling of strong discontinuities in elastoplastic solids: fixed and rotating localization formulations
    • Mosler J., Meschke G. 3D modelling of strong discontinuities in elastoplastic solids: fixed and rotating localization formulations. Int J Numer Methods Engng 2003, 57:1553-1576.
    • (2003) Int J Numer Methods Engng , vol.57 , pp. 1553-1576
    • Mosler, J.1    Meschke, G.2
  • 33
    • 79957963999 scopus 로고    scopus 로고
    • A thermodynamically and variationally consistent class of damage-type cohesive models
    • Mosler J., Scheider I. A thermodynamically and variationally consistent class of damage-type cohesive models. J Mech Phys Solids. 2011, 59(8):1647-1668.
    • (2011) J Mech Phys Solids. , vol.59 , Issue.8 , pp. 1647-1668
    • Mosler, J.1    Scheider, I.2
  • 34
    • 0023410904 scopus 로고
    • A continuum model for void nucleation by inclusion debonding
    • Needleman A. A continuum model for void nucleation by inclusion debonding. J Appl Mech - Trans ASCME 1987, 54:525-531.
    • (1987) J Appl Mech - Trans ASCME , vol.54 , pp. 525-531
    • Needleman, A.1
  • 35
    • 0024982575 scopus 로고
    • An analysis of decohesion along an imperfect interface
    • Needleman A. An analysis of decohesion along an imperfect interface. Int J Fract 1990, 42:21-40.
    • (1990) Int J Fract , vol.42 , pp. 21-40
    • Needleman, A.1
  • 36
    • 0030294819 scopus 로고    scopus 로고
    • Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals. Part 2: Numerical simulation
    • Oliver J. Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals. Part 2: Numerical simulation. Int J Numer Methods Engng 1996, 39:3575-3623.
    • (1996) Int J Numer Methods Engng , vol.39 , pp. 3575-3623
    • Oliver, J.1
  • 37
    • 33748944301 scopus 로고    scopus 로고
    • Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach
    • Oliver J., Huespe A., Blanco S., Linero D. Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach. Comput Methods Appl Mech Engng 2006, 195:7093-7114.
    • (2006) Comput Methods Appl Mech Engng , vol.195 , pp. 7093-7114
    • Oliver, J.1    Huespe, A.2    Blanco, S.3    Linero, D.4
  • 39
    • 33745034552 scopus 로고    scopus 로고
    • A comparative study on finite elements for capturing strong discontinuities: E-FEM vs. X-FEM
    • Oliver J., Huespe A., Sanches P. A comparative study on finite elements for capturing strong discontinuities: E-FEM vs. X-FEM. Comput Methods Appl Mech Engng 2006, 195:4732-4752.
    • (2006) Comput Methods Appl Mech Engng , vol.195 , pp. 4732-4752
    • Oliver, J.1    Huespe, A.2    Sanches, P.3
  • 40
    • 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. Int J Numer Methods Engng 1999, 44:1267-1282.
    • (1999) Int J Numer Methods Engng , vol.44 , pp. 1267-1282
    • Ortiz, M.1    Pandolfi, A.2
  • 41
    • 0036373164 scopus 로고    scopus 로고
    • An efficient adaptive procedure for three-dimensional fragmentation simulation
    • Pandolfi A., Ortiz M. An efficient adaptive procedure for three-dimensional fragmentation simulation. Engng Comput 2002, 18:148-159.
    • (2002) Engng Comput , vol.18 , pp. 148-159
    • Pandolfi, A.1    Ortiz, M.2
  • 42
    • 65049088836 scopus 로고    scopus 로고
    • A unified potential-based cohesive model of mixed-mode fracture
    • Park K., Paulino G., Roesler J. A unified potential-based cohesive model of mixed-mode fracture. J Mech Phys Solids 2009, 57:891-908.
    • (2009) J Mech Phys Solids , vol.57 , pp. 891-908
    • Park, K.1    Paulino, G.2    Roesler, J.3
  • 45
    • 0003964068 scopus 로고
    • Computational modeling of concrete fracture.
    • Dissertation. Delft University of Technology;
    • Rots J. Computational modeling of concrete fracture. Dissertation. Delft University of Technology; 1988.
    • (1988)
    • Rots, J.1
  • 46
    • 33846976717 scopus 로고    scopus 로고
    • Three-dimensional simulation of concrete fracture using embedded crack elements without enforcing crack path continuity
    • Sancho J., Planas J., Fathy A., Gálvez J., Cendón D. Three-dimensional simulation of concrete fracture using embedded crack elements without enforcing crack path continuity. Int J Numer Anal Methods Geomech 2007, 31:173-187.
    • (2007) Int J Numer Anal Methods Geomech , vol.31 , pp. 173-187
    • Sancho, J.1    Planas, J.2    Fathy, A.3    Gálvez, J.4    Cendón, D.5
  • 47
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • Simo J., Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Int J Numer Methods Engng 1992, 33:1413-1449.
    • (1992) Int J Numer Methods Engng , vol.33 , pp. 1413-1449
    • Simo, J.1    Armero, F.2
  • 48
    • 0002933316 scopus 로고
    • A new approach to the analysis and simulation of strain softening in solids
    • E. & F.N. Spon, London, Z. Bažant, Z. Bittnar, M. Jirásek, J. Mazars (Eds.)
    • Simo J., Oliver J. A new approach to the analysis and simulation of strain softening in solids. Fracture and damage in quasibrittle structures 1994, 25-39. E. & F.N. Spon, London. Z. Bažant, Z. Bittnar, M. Jirásek, J. Mazars (Eds.).
    • (1994) Fracture and damage in quasibrittle structures , pp. 25-39
    • Simo, J.1    Oliver, J.2
  • 49
    • 34250076312 scopus 로고
    • An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic models
    • Simo J., Oliver J., Armero F. An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic models. Comput Mech 1993, 12:277-296.
    • (1993) Comput Mech , vol.12 , pp. 277-296
    • Simo, J.1    Oliver, J.2    Armero, F.3
  • 50
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • Simo J., Rifai M. A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Methods Engng 1990, 29:1595-1638.
    • (1990) Int J Numer Methods Engng , vol.29 , pp. 1595-1638
    • Simo, J.1    Rifai, M.2
  • 52
    • 0034255073 scopus 로고    scopus 로고
    • Extended finite element method for three-dimensional crack modelling
    • Sukumar N., Moës N., Moran B., Belytschko T. Extended finite element method for three-dimensional crack modelling. Int J Numer Methods Engng 2000, 48:1549-1570.
    • (2000) Int J Numer Methods Engng , vol.48 , pp. 1549-1570
    • Sukumar, N.1    Moës, N.2    Moran, B.3    Belytschko, T.4
  • 53
    • 0005394838 scopus 로고    scopus 로고
    • Stress locking in the inner softening band method: a study of the origin and how to reduce the effects
    • Balkema, Rotterdam, R. de Borst, N. Bićanić, H. Mang, G. Meschke (Eds.)
    • Tano R., Klisinski M., Olofsson T. Stress locking in the inner softening band method: a study of the origin and how to reduce the effects. Computational modeling of concrete structures 1998, 329-335. Balkema, Rotterdam. R. de Borst, N. Bićanić, H. Mang, G. Meschke (Eds.).
    • (1998) Computational modeling of concrete structures , pp. 329-335
    • Tano, R.1    Klisinski, M.2    Olofsson, T.3
  • 54
    • 0004538168 scopus 로고    scopus 로고
    • Three-dimensional embedded discontinuity model for brittle fracture
    • Wells G., Sluys L. Three-dimensional embedded discontinuity model for brittle fracture. Int J Solids Struct 2001, 38:897-913.
    • (2001) Int J Solids Struct , vol.38 , pp. 897-913
    • Wells, G.1    Sluys, L.2
  • 55
    • 3242798097 scopus 로고    scopus 로고
    • Application of a constitutive model for concrete to the analysis of a precast segmental tunnel lining
    • Winkler B., Hofstetter G., Lehar H. Application of a constitutive model for concrete to the analysis of a precast segmental tunnel lining. Int J Numer Anal Methods Geomech 2004, 28:797-819.
    • (2004) Int J Numer Anal Methods Geomech , vol.28 , pp. 797-819
    • Winkler, B.1    Hofstetter, G.2    Lehar, H.3
  • 56
    • 33845284653 scopus 로고
    • Void nucleation by inclusion debonding in a crystal matrix
    • Xu X., Needleman A. Void nucleation by inclusion debonding in a crystal matrix. Model Simul Mater Sci Engng 1993, 1:111-132.
    • (1993) Model Simul Mater Sci Engng , vol.1 , pp. 111-132
    • Xu, X.1    Needleman, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.