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Volumn 159, Issue 2, 2009, Pages 151-165

Computational modeling of mixed-mode fatigue crack growth using extended finite element methods

Author keywords

Boundary layer formulation; Cyclic cohesive zone model; Extended finite element method; Mixed mode fatigue crack propagation

Indexed keywords

ACCURATE PREDICTION; BOUNDARY LAYER FORMULATION; COHESIVE ZONE MODEL; COMPUTATIONAL IMPLEMENTATIONS; COMPUTATIONAL MODELING; COMPUTATIONAL RESULTS; CRACK PROPAGATION RATE; CYCLIC COHESIVE ZONE MODEL; DAMAGE EVOLUTION EQUATION; ELASTIC-PLASTIC MATERIAL; EXTENDED FINITE ELEMENT METHOD; FATIGUE CRACK GROWTH; MAXIMUM PRINCIPAL STRESS; MIXED MODE; MIXED-MODE FATIGUE CRACK PROPAGATION; MIXED-MODE LOADING; MODIFIED BOUNDARY LAYERS; MULTI-AXIAL FATIGUE; SHEAR FAILURE;

EID: 70350238505     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-009-9391-y     Document Type: Article
Times cited : (28)

References (40)
  • 1
    • 38349017605 scopus 로고    scopus 로고
    • ABAQUS ABAQUS Inc. Providence, R. I
    • ABAQUS (2006) Theory manual. Version 6.6. ABAQUS Inc. Providence, R. I.
    • (2006) Theory Manual. Version 6.6
  • 4
    • 15344344853 scopus 로고    scopus 로고
    • Three-dimensional modelling of ductile crack growth: Cohesive zone parameters and crack tip triaxiality
    • Chen CR, Kolednik O, Heerens J, Fischer FD (2005) Three-dimensional modelling of ductile crack growth: Cohesive zone parameters and crack tip triaxiality. Eng Fract Mech 72: 2072-2094
    • (2005) Eng Fract Mech , vol.72 , pp. 2072-2094
    • Chen, C.R.1    Kolednik, O.2    Heerens, J.3    Fischer, F.D.4
  • 5
    • 33745268462 scopus 로고    scopus 로고
    • Modern domain-based discretization methods for damage and fracture
    • De Borst R (2006) Modern domain-based discretization methods for damage and fracture. Int J Fract 138: 241-262
    • (2006) Int J Fract , vol.138 , pp. 241-262
    • De Borst, R.1
  • 6
    • 85007836717 scopus 로고
    • On the crack extension in plates under plane loading and transverse shear
    • Erdogen F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Bas Eng ASME Trans 85: 519-525
    • (1963) J Bas Eng ASME Trans , vol.85 , pp. 519-525
    • Erdogen, F.1    Sih, G.C.2
  • 7
    • 33750928128 scopus 로고
    • Modified theories of fatigue failure under combined stress
    • Findley WN (1956) Modified theories of fatigue failure under combined stress. Proc Soc Exp Stress Anal 14: 35-46
    • (1956) Proc Soc Exp Stress Anal , vol.14 , pp. 35-46
    • Findley, W.N.1
  • 8
    • 0035961277 scopus 로고    scopus 로고
    • Embedded crack model. Part I: Basic formulation
    • Jirasek M, Zimmermann T (2001) Embedded crack model. Part I: Basic formulation. Int J Num Meth Eng 50: 1269-1290
    • (2001) Int J Num Meth Eng , vol.50 , pp. 1269-1290
    • Jirasek, M.1    Zimmermann, T.2
  • 9
    • 27844443158 scopus 로고    scopus 로고
    • A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials
    • Karolczuk A, Macha E (2005) A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials. Int J Fract 134: 267-304
    • (2005) Int J Fract , vol.134 , pp. 267-304
    • Karolczuk, A.1    Macha, E.2
  • 10
    • 70350246531 scopus 로고    scopus 로고
    • Suggestions to cohesive models based on atomistic simulations
    • Submitted for publication
    • Krull H, Yuan H (2009) Suggestions to cohesive models based on atomistic simulations. Eng Fract Mech. Submitted for publication
    • (2009) Eng Fract Mech
    • Krull, H.1    Yuan, H.2
  • 11
    • 0015650808 scopus 로고
    • Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials
    • Larsson SG, Carlsson AJ (1973) Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J Mech Phy Solids 21: 263-277
    • (1973) J Mech Phy Solids , vol.21 , pp. 263-277
    • Larsson, S.G.1    Carlsson, A.J.2
  • 13
    • 0028739563 scopus 로고
    • A shear stress based critical-plane criterion of multiaxial fatigue failure for design and life prediction
    • McDiarmid DL (1994) A shear stress based critical-plane criterion of multiaxial fatigue failure for design and life prediction. Fat Fract Eng Mat Struct. 1475-1485
    • (1994) Fat Fract Eng Mat Struct , pp. 1475-1485
    • McDiarmid, D.L.1
  • 14
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • Melenk JM, Babüska I (1996) The partition of unity finite element method: Basic theory and applications. Comp Meth Appl Mech Eng 139: 289-314
    • (1996) Comp Meth Appl Mech Eng , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babüska, I.2
  • 15
    • 34047169750 scopus 로고    scopus 로고
    • Energy-based modeling of cohesive and cohesionless cracks via X-FEM
    • Meschke G, Dumstorff P (2007) Energy-based modeling of cohesive and cohesionless cracks via X-FEM. Comp Meth Appl Mech Eng 196: 2338-2357
    • (2007) Comp Meth Appl Mech Eng , vol.196 , pp. 2338-2357
    • Meschke, G.1    Dumstorff, P.2
  • 16
    • 18544363405 scopus 로고    scopus 로고
    • A finite element method for the computational modelling of cohesive cracks
    • Mergheim J, Kuhl E, Steinmann P (2005) A finite element method for the computational modelling of cohesive cracks. Int J Num Meth Eng 63: 276-289
    • (2005) Int J Num Meth Eng , vol.63 , pp. 276-289
    • Mergheim, J.1    Kuhl, E.2    Steinmann, P.3
  • 19
    • 0030380568 scopus 로고    scopus 로고
    • Mixed mode fatigue crack growth: A literature survey
    • Qian J, Fatemi A (1996) Mixed mode fatigue crack growth: A literature survey. Eng Fract Mech 55: 969-990
    • (1996) Eng Fract Mech , vol.55 , pp. 969-990
    • Qian, J.1    Fatemi, A.2
  • 20
    • 0021649402 scopus 로고
    • Some theoretical and experimental aspects of mixed mode fracture
    • In: Valluri SR, Taplin DMR, Rama Rao P (eds) Pergamon Press, Oxford
    • Richard HA et al (1984) Some theoretical and experimental aspects of mixed mode fracture. In: Valluri SR, Taplin DMR, Rama Rao P (eds) Advances in fracture research. Pergamon Press, Oxford
    • (1984) Advances in Fracture Research
    • Richard, H.A.1
  • 22
    • 0008599235 scopus 로고
    • Specimens for investigating biaxial fracture and fatigue processes
    • In: Brown MW, Miller KJ (eds) Mechanical Engineering Publications, London
    • Richard HA (1989) Specimens for investigating biaxial fracture and fatigue processes. In: Brown MW, Miller KJ (eds) Biaxial and multiaxial fatigue. Mechanical Engineering Publications, London, pp 227-229
    • (1989) Biaxial and Multiaxial Fatigue , pp. 227-229
    • Richard, H.A.1
  • 23
    • 0037218278 scopus 로고    scopus 로고
    • An irreversible cohesive zone model for interface fatigue crack growth simulation
    • Roe KL, Siegmund T (2003) An irreversible cohesive zone model for interface fatigue crack growth simulation. Eng Fract Mech 70: 209-232
    • (2003) Eng Fract Mech , vol.70 , pp. 209-232
    • Roe, K.L.1    Siegmund, T.2
  • 24
    • 30844443748 scopus 로고    scopus 로고
    • Experimental and numerical investigations on the influence of the loading direction on the fatigue crack growth
    • Sander M, Richard HA (2006) Experimental and numerical investigations on the influence of the loading direction on the fatigue crack growth. Int J Fatigue 28: 583-591
    • (2006) Int J Fatigue , vol.28 , pp. 583-591
    • Sander, M.1    Richard, H.A.2
  • 25
    • 27644513405 scopus 로고    scopus 로고
    • Crack propagation analyses with CTOA and cohesive model: Comparison and experimental validation
    • Scheider I, Schödel M, Brocks W, Schönfeld W (2006) Crack propagation analyses with CTOA and cohesive model: Comparison and experimental validation. Eng Fract Mech 73: 252-263
    • (2006) Eng Fract Mech , vol.73 , pp. 252-263
    • Scheider, I.1    Schödel, M.2    Brocks, W.3    Schönfeld, W.4
  • 26
    • 2942708223 scopus 로고    scopus 로고
    • A numerical study of transient fatigue crack growth by use of an irreversible cohesive zone model
    • Siegmund T (2004) A numerical study of transient fatigue crack growth by use of an irreversible cohesive zone model. Int J Fatigue 9: 929-939
    • (2004) Int J Fatigue , vol.9 , pp. 929-939
    • Siegmund, T.1
  • 27
    • 0141792679 scopus 로고    scopus 로고
    • From continuous to discontinuous failure in a gradient-enhanced continuum damage model
    • Simone A, Wells GN, Sluys LJ (2003) From continuous to discontinuous failure in a gradient-enhanced continuum damage model. Comp Meth Appl Mech Eng 192: 4581-4607
    • (2003) Comp Meth Appl Mech Eng , vol.192 , pp. 4581-4607
    • Simone, A.1    Wells, G.N.2    Sluys, L.J.3
  • 29
    • 20444448506 scopus 로고    scopus 로고
    • The cohesive law for the particle/matrix inter-faces in high explosives
    • Tan H, Liu C, Huang Y, Geubelle PH (2005) The cohesive law for the particle/matrix inter-faces in high explosives. J Mech Phy Solids 53: 1892-1917
    • (2005) J Mech Phy Solids , vol.53 , pp. 1892-1917
    • Tan, H.1    Liu, C.2    Huang, Y.3    Geubelle, P.H.4
  • 30
    • 0035972097 scopus 로고    scopus 로고
    • A new method for modelling cohesive cracks using finite elements
    • Wells GN, Sluys LJ (2001) A new method for modelling cohesive cracks using finite elements. Int J Num Meth Eng 50: 2667-2682
    • (2001) Int J Num Meth Eng , vol.50 , pp. 2667-2682
    • Wells, G.N.1    Sluys, L.J.2
  • 31
    • 0028497372 scopus 로고
    • Numerical simulations of fast crack growth in brittle solids
    • Xu XP, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phy Solids 42: 1397-1434
    • (1994) J Mech Phy Solids , vol.42 , pp. 1397-1434
    • Xu, X.P.1    Needleman, A.2
  • 32
    • 58049115042 scopus 로고    scopus 로고
    • Computational analysis of mixed-mode fatigue crack growth in quasi-brittle materials using extended finite element methods
    • Xu YJ, Yuan H (2009a) Computational analysis of mixed-mode fatigue crack growth in quasi-brittle materials using extended finite element methods. Eng Fract Mech 76: 165-181
    • (2009) Eng Fract Mech , vol.76 , pp. 165-181
    • Xu, Y.J.1    Yuan, H.2
  • 33
    • 69249221480 scopus 로고    scopus 로고
    • On damage accumulations in the cyclic cohesive zone model for XFEM analysis of mixed-mode fatigue crack growth
    • (in print)
    • Xu YJ, Yuan H (2009b) On damage accumulations in the cyclic cohesive zone model for XFEM analysis of mixed-mode fatigue crack growth. Comp Mat Sci. (in print)
    • (2009) Comp Mat Sci
    • Xu, Y.J.1    Yuan, H.2
  • 35
    • 70350232333 scopus 로고
    • Application of cohesive zone model in investigation of elastic-plastic crack growth
    • In: Zarka J (eds) IITT International, Gournay
    • Yuan H, Cornec A et al (1990) Application of cohesive zone model in investigation of elastic-plastic crack growth. In: Zarka J (eds) STRUCENG & FEMCAD: Structural engineering and optimization. IITT International, Gournay, pp 317-323
    • (1990) STRUCENG & FEMCAD: Structural Engineering and Optimization , pp. 317-323
    • Yuan, H.1    Cornec, A.2
  • 36
    • 0030125982 scopus 로고    scopus 로고
    • Applications of cohesive zone model for assessment of ductile fracture processes
    • Yuan H, Lin G, Cornec A (1996) Applications of cohesive zone model for assessment of ductile fracture processes. Trans ASME: J Eng Mat Tech 118: 192-200
    • (1996) Trans ASME: J Eng Mat Tech , vol.118 , pp. 192-200
    • Yuan, H.1    Lin, G.2    Cornec, A.3
  • 37
    • 0035832305 scopus 로고    scopus 로고
    • A cohesive zone model for fatigue crack growth in quasibrittle materials
    • Yang B, Mall S, Ravi-Chandar K (2001) A cohesive zone model for fatigue crack growth in quasibrittle materials. Int J Solids Struct 38: 3927-3944
    • (2001) Int J Solids Struct , vol.38 , pp. 3927-3944
    • Yang, B.1    Mall, S.2    Ravi-Chandar, K.3
  • 38
    • 12344299450 scopus 로고    scopus 로고
    • Micromechanical simulation of dynamic fracture using the cohesive finite element method
    • Zhai J, Tomar V, Zhou M (2004) Micromechanical simulation of dynamic fracture using the cohesive finite element method. J Eng Mater Tech 126: 179-191
    • (2004) J Eng Mater Tech , vol.126 , pp. 179-191
    • Zhai, J.1    Tomar, V.2    Zhou, M.3
  • 39
    • 0041422334 scopus 로고    scopus 로고
    • New crack-tip elements for XFEM and applications to cohesive cracks
    • Zi G, Belytschko T (2003) New crack-tip elements for XFEM and applications to cohesive cracks. Int J Numer Methods Eng 57: 2221-2240
    • (2003) Int J Numer Methods Eng , vol.57 , pp. 2221-2240
    • Zi, G.1    Belytschko, T.2
  • 40
    • 17044428035 scopus 로고    scopus 로고
    • The extended finite element method for dynamic fractures
    • Zi G, Chen H, Xu J, Belytschko T (2005) The extended finite element method for dynamic fractures. Shock Vibr 12: 9-23
    • (2005) Shock Vibr , vol.12 , pp. 9-23
    • Zi, G.1    Chen, H.2    Xu, J.3    Belytschko, T.4


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