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Volumn 51, Issue 6, 2013, Pages 961-974

A nonlocal continuum damage mechanics approach to simulation of creep fracture in ice sheets

Author keywords

Anisotropic damage; Creep fracture; Finite element simulation; Ice mechanics; Nonlocal integral

Indexed keywords

ABAQUS; CONTINUUM DAMAGE MECHANICS; CREEP; FRACTURE; GLACIERS; ICE; MECHANICS; MESH GENERATION; VISCOELASTICITY;

EID: 84878655489     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-012-0778-7     Document Type: Article
Times cited : (73)

References (53)
  • 2
    • 41949130723 scopus 로고    scopus 로고
    • An investigation into the forces that drive ice-shelf rift propagation on the amery ice shelf, East Antarctica
    • 10.3189/002214308784409116
    • Bassis JN, Fricker HA, Coleman R, Minster J (2008) An investigation into the forces that drive ice-shelf rift propagation on the amery ice shelf, East Antarctica. J Glaciol 54(184): 17-27
    • (2008) J Glaciol , vol.54 , Issue.184 , pp. 17-27
    • Bassis, J.N.1    Fricker, H.A.2    Coleman, R.3    Minster, J.4
  • 3
    • 0032004457 scopus 로고    scopus 로고
    • Fracture mechanics approach to penetration of surface crevasses on glaciers
    • 10.1016/S0165-232X(97)00022-0
    • van der Veen CJ (1998) Fracture mechanics approach to penetration of surface crevasses on glaciers. Cold Reg Sci Technol 27: 31-47
    • (1998) Cold Reg Sci Technol , vol.27 , pp. 31-47
    • Van Der Veen, C.J.1
  • 5
    • 30944444346 scopus 로고    scopus 로고
    • Access of surface meltwater to beds of sub-freezing glaciers: Preliminary insights
    • 10.3189/172756405781813483
    • Alley RB, Dupont TK, Parizek BR, Anandakrishnan S (2005) Access of surface meltwater to beds of sub-freezing glaciers: preliminary insights. Ann Glaciol 40(1): 8-14
    • (2005) Ann Glaciol , vol.40 , Issue.1 , pp. 8-14
    • Alley, R.B.1    Dupont, T.K.2    Parizek, B.R.3    Anandakrishnan, S.4
  • 6
    • 34247402574 scopus 로고    scopus 로고
    • Fracture propagation as means of rapidly transferring surface meltwater to the base of glaciers
    • 10.1029/2006GL028385
    • van der Veen CJ (2007) Fracture propagation as means of rapidly transferring surface meltwater to the base of glaciers. Geophys Res Lett 3(1): L01501
    • (2007) Geophys Res Lett , vol.3 , Issue.1 , pp. 01501
    • Van Der Veen, C.J.1
  • 7
    • 79551703914 scopus 로고    scopus 로고
    • A physically based calving model applied to marine outlet glaciers and implications for the glacier dynamics
    • 10.3189/002214310794457344
    • Nick FM, vander Veen CJ, Benn DI (2010) A physically based calving model applied to marine outlet glaciers and implications for the glacier dynamics. J Glaciol 56(199): 781-794
    • (2010) J Glaciol , vol.56 , Issue.199 , pp. 781-794
    • Nick, F.M.1    Vander Veen, C.J.2    Benn, D.I.3
  • 9
  • 10
    • 33749015195 scopus 로고    scopus 로고
    • A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: Part i - Theoretical formulation
    • 10.1177/1056789506058046
    • Al-Rub RKA, Voyiadjis GZ (2006) A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: part I - theoretical formulation. Int J Damage Mech 15(4): 293-334
    • (2006) Int J Damage Mech , vol.15 , Issue.4 , pp. 293-334
    • Al-Rub, R.K.A.1    Voyiadjis, G.Z.2
  • 12
    • 0024715135 scopus 로고
    • A three-dimensional constitutive damage model for polycrystalline ice
    • 10.1016/0167-6636(89)90005-7
    • Karr DG, Choi K (1989) A three-dimensional constitutive damage model for polycrystalline ice. Mech Mater 8(1): 55-66
    • (1989) Mech Mater , vol.8 , Issue.1 , pp. 55-66
    • Karr, D.G.1    Choi, K.2
  • 14
    • 17044383413 scopus 로고    scopus 로고
    • Dynamic damage model of crevasse opening and application to glacier calving
    • 10.1029/2004JB003104
    • Pralong A, Funk M (2005) Dynamic damage model of crevasse opening and application to glacier calving. J Geophys Res Solid Earth 110(B1): B1309
    • (2005) J Geophys Res Solid Earth , vol.110 , Issue.B1 , pp. 1309
    • Pralong, A.1    Funk, M.2
  • 15
    • 0020736604 scopus 로고
    • Notion of continuum damage mechanics and its application to anisotropic creep damage theory
    • 10.1115/1.3225633
    • Murakami S (1983) Notion of continuum damage mechanics and its application to anisotropic creep damage theory. J Eng Mater Technol Trans ASME 105(2): 99-105
    • (1983) J Eng Mater Technol Trans ASME , vol.105 , Issue.2 , pp. 99-105
    • Murakami, S.1
  • 16
    • 0000452992 scopus 로고
    • Finite-element analysis of creep crack-growth by a local approach
    • 10.1016/0020-7403(88)90003-3
    • Murakami S, Kawai M, Rong H (1988) Finite-element analysis of creep crack-growth by a local approach. Int J Mech Sci 30(7): 491-502
    • (1988) Int J Mech Sci , vol.30 , Issue.7 , pp. 491-502
    • Murakami, S.1    Kawai, M.2    Rong, H.3
  • 17
    • 84855185049 scopus 로고    scopus 로고
    • A temperature dependent creep damage model for polycrystalline ice
    • 10.1016/j.mechmat.2011.11.007
    • Duddu R, Waisman H (2012) A temperature dependent creep damage model for polycrystalline ice. Mech Mater 46: 23-41
    • (2012) Mech Mater , vol.46 , pp. 23-41
    • Duddu, R.1    Waisman, H.2
  • 18
    • 24544449862 scopus 로고
    • Mechanics of distributed cracking: Review paper
    • 10.1115/1.3143724
    • Bazant ZP (1986) Mechanics of distributed cracking: review paper. Appl Mech Rev 39: 665-705
    • (1986) Appl Mech Rev , vol.39 , pp. 665-705
    • Bazant, Z.P.1
  • 19
    • 0001260287 scopus 로고
    • Modelling of grain size effects in creep crack growth using a non-local continuum damage
    • 0719.73521 10.1098/rspa.1991.0055
    • Hall FR, Hayhurst DR (1991) Modelling of grain size effects in creep crack growth using a non-local continuum damage. Proc Math Phys Sci 433(1888): 405-421
    • (1991) Proc Math Phys Sci , vol.433 , Issue.1888 , pp. 405-421
    • Hall, F.R.1    Hayhurst, D.R.2
  • 20
    • 70450183359 scopus 로고    scopus 로고
    • Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions
    • 1183.74377 10.1002/nme.2663
    • Zolochevsky Z, Sklepus S, Hyde TH, Becker AA, Peravali S (2009) Numerical modeling of creep and creep damage in thin plates of arbitrary shape from materials with different behavior in tension and compression under plane stress conditions. Int J Numer Methods Eng 80(11): 1406-1436
    • (2009) Int J Numer Methods Eng , vol.80 , Issue.11 , pp. 1406-1436
    • Zolochevsky, Z.1    Sklepus, S.2    Hyde, T.H.3    Becker, A.A.4    Peravali, S.5
  • 21
    • 0034004728 scopus 로고    scopus 로고
    • Computational methods for creep fracture analysis by damage mechanics
    • 1001.74113 10.1016/S0045-7825(99)00209-1
    • Murakami S, Liu Y, Mizuno M (2000) Computational methods for creep fracture analysis by damage mechanics. Comput Methods Appl Mech Eng 183: 15-33
    • (2000) Comput Methods Appl Mech Eng , vol.183 , pp. 15-33
    • Murakami, S.1    Liu, Y.2    Mizuno, M.3
  • 22
    • 80054056615 scopus 로고
    • Nonlocal damage theory
    • 10.1061/(ASCE)0733-9399(1987)113:10(1512)
    • Pijaudier-Cabot G, Bazant Z (1987) Nonlocal damage theory. J Eng Mech 113: 1512-1533
    • (1987) J Eng Mech , vol.113 , pp. 1512-1533
    • Pijaudier-Cabot, G.1    Bazant, Z.2
  • 23
    • 0024029187 scopus 로고
    • Non-local continuum damage localisation instability and convergence
    • 0663.73075 10.1115/1.3173674
    • Bazant ZP, Pijaudier-Cabot G (1988) Non-local continuum damage localisation instability and convergence. J Appl Mech 55: 287-293
    • (1988) J Appl Mech , vol.55 , pp. 287-293
    • Bazant, Z.P.1    Pijaudier-Cabot, G.2
  • 24
    • 0030267284 scopus 로고    scopus 로고
    • Gradient-enhanced damage model for quasi-brittle materials
    • 10.1002/(SICI)1097-0207(19961015)39:19<3391: AID-NME7>3.0.CO;2-D
    • Peerlings RHJ, DeBorst R, Brekelmans WAM, DeVree JHP (1996) Gradient-enhanced damage model for quasi-brittle materials. Int J Numer Methods Eng 39(19): 391-403
    • (1996) Int J Numer Methods Eng , vol.39 , Issue.19 , pp. 391-403
    • Peerlings, R.H.J.1    Deborst, R.2    Brekelmans, W.A.M.3    Devree, J.H.P.4
  • 25
    • 0035850780 scopus 로고    scopus 로고
    • A critical comparison of nonlocal and gradient-enhanced softening continua
    • 1032.74008 10.1016/S0020-7683(01)00087-7
    • Peerlings RHJ, Geers MGD, De Borst R, Brekelmans WAM (2001) A critical comparison of nonlocal and gradient-enhanced softening continua. Int J Solids Struct 38: 7723-7746
    • (2001) Int J Solids Struct , vol.38 , pp. 7723-7746
    • Peerlings, R.H.J.1    Geers, M.G.D.2    De Borst, R.3    Brekelmans, W.A.M.4
  • 27
    • 84865392128 scopus 로고    scopus 로고
    • A straightforward numerical technique for finite element implementation of nonlocal gradient-dependent continuum damage mechanics theories
    • 10.1504/IJTAMM.2010.038281
    • Al-Rub RKA, Darabi MK, Masad EA (2010) A straightforward numerical technique for finite element implementation of nonlocal gradient-dependent continuum damage mechanics theories. Int J Theor Appl Multiscale Mech 1(4): 352-385
    • (2010) Int J Theor Appl Multiscale Mech , vol.1 , Issue.4 , pp. 352-385
    • Al-Rub, R.K.A.1    Darabi, M.K.2    Masad, E.A.3
  • 28
    • 0026119653 scopus 로고
    • Modeling of creep damage evolution around blunt notches and sharp cracks
    • 10.1016/0167-6636(91)90037-Z
    • Hsia KJ, Argon AS, Parks DM (1991) Modeling of creep damage evolution around blunt notches and sharp cracks. Mech Mater 11(1): 19-42
    • (1991) Mech Mater , vol.11 , Issue.1 , pp. 19-42
    • Hsia, K.J.1    Argon, A.S.2    Parks, D.M.3
  • 29
    • 0030190922 scopus 로고    scopus 로고
    • Finite element analysis on creep damage
    • 0918.73211 10.1016/0045-7949(95)00435-1
    • Wang XN, Wang XC (1996) Finite element analysis on creep damage. Comput Struct 60(5): 781-786
    • (1996) Comput Struct , vol.60 , Issue.5 , pp. 781-786
    • Wang, X.N.1    Wang, X.C.2
  • 30
    • 0036712977 scopus 로고    scopus 로고
    • Benchmarks for finite element analysis of creep continuum damage mechanics
    • 10.1016/S0927-0256(02)00247-1
    • Becker AA, Hyde TH, Sun W, Andersson P (2002) Benchmarks for finite element analysis of creep continuum damage mechanics. Comput Mater Sci 25(1-2): 34-41
    • (2002) Comput Mater Sci , vol.25 , Issue.1-2 , pp. 34-41
    • Becker, A.A.1    Hyde, T.H.2    Sun, W.3    Andersson, P.4
  • 31
    • 33847755005 scopus 로고    scopus 로고
    • Nonlocal anisotropic damage model and related computational aspects for quasi-brittle materials
    • 10.1016/j.engfracmech.2006.09.012
    • Desmorat R, Gatuingt F, Ragueneau F (2007) Nonlocal anisotropic damage model and related computational aspects for quasi-brittle materials. Eng Fract Mech 74: 1539-1560
    • (2007) Eng Fract Mech , vol.74 , pp. 1539-1560
    • Desmorat, R.1    Gatuingt, F.2    Ragueneau, F.3
  • 32
    • 39149135859 scopus 로고    scopus 로고
    • Evaluation of directional mesh bias in concrete fracture simulations using continuum damage models
    • 10.1016/j.engfracmech.2007.11.010
    • Jirasek M, Grassl P (2008) Evaluation of directional mesh bias in concrete fracture simulations using continuum damage models. Eng Fract Mech 75: 1921-1943
    • (2008) Eng Fract Mech , vol.75 , pp. 1921-1943
    • Jirasek, M.1    Grassl, P.2
  • 33
    • 0029102512 scopus 로고
    • Reproducing kernel particle methods
    • 1333917 0881.76072 10.1002/fld.1650200824
    • Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Methods Fluids 20: 1081-1106
    • (1995) Int J Numer Methods Fluids , vol.20 , pp. 1081-1106
    • Liu, W.K.1    Jun, S.2    Zhang, Y.F.3
  • 34
    • 0000070496 scopus 로고
    • Multiple scale meshfree methods for damage fracture and localization
    • 10.1016/S0927-0256(99)00062-2
    • Liu WK, Hao S, Belytschko T, Li S-F, Chang CT (1995) Multiple scale meshfree methods for damage fracture and localization. Comput Mater Sci 16: 197-205
    • (1995) Comput Mater Sci , vol.16 , pp. 197-205
    • Liu, W.K.1    Hao, S.2    Belytschko, T.3    Li, S.-F.4    Chang, C.T.5
  • 35
    • 0023531043 scopus 로고
    • Strain-based and stress-based continuum damage models 1 formulation
    • 0634.73106 10.1016/0020-7683(87)90083-7
    • Simo JC, Ju JW (1987) Strain-based and stress-based continuum damage models 1 formulation. Int J Solids Struct 23(7): 821-840
    • (1987) Int J Solids Struct , vol.23 , Issue.7 , pp. 821-840
    • Simo, J.C.1    Ju, J.W.2
  • 37
    • 0029346752 scopus 로고
    • On damage strain energy release rate y
    • 10.1177/105678959500400304
    • Chen XF, Chow CL (1995) On damage strain energy release rate Y. Int J Damage Mech 4(1): 251-263
    • (1995) Int J Damage Mech , vol.4 , Issue.1 , pp. 251-263
    • Chen, X.F.1    Chow, C.L.2
  • 38
    • 0033319117 scopus 로고    scopus 로고
    • Anisotropic continuum damage modeling for single crystals at high temperatures
    • 0995.74006 10.1016/S0749-6419(99)00035-2
    • Qi W, Bertram A (1999) Anisotropic continuum damage modeling for single crystals at high temperatures. Int J Plast 15(11): 1197-1215
    • (1999) Int J Plast , vol.15 , Issue.11 , pp. 1197-1215
    • Qi, W.1    Bertram, A.2
  • 41
    • 0001195289 scopus 로고
    • The creep of polycrystalline ice
    • 10.1098/rspa.1955.0066
    • Glen JW (1955) The creep of polycrystalline ice. Proc R Soc Lond A Math Phys Sci 228(1175): 519-538
    • (1955) Proc R Soc Lond A Math Phys Sci , vol.228 , Issue.1175 , pp. 519-538
    • Glen, J.W.1
  • 42
    • 0031558369 scopus 로고    scopus 로고
    • The brittle failure of ice under compression
    • 10.1021/jp9632192
    • Schulson EM (1997) The brittle failure of ice under compression. J Phys Chem B 101(32): 6254-6258
    • (1997) J Phys Chem B , vol.101 , Issue.32 , pp. 6254-6258
    • Schulson, E.M.1
  • 43
    • 0024470939 scopus 로고
    • A review of ice rheology for ice-sheet modeling
    • 10.1016/0165-232X(89)90014-1
    • Budd WF, Jacka TH (1989) A review of ice rheology for ice-sheet modeling. Cold Reg Sci Technol 16(2): 107-144
    • (1989) Cold Reg Sci Technol , vol.16 , Issue.2 , pp. 107-144
    • Budd, W.F.1    Jacka, T.H.2
  • 44
    • 1142300599 scopus 로고    scopus 로고
    • Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory
    • 1178.74029 10.1016/j.ijplas.2003.10.002
    • Voyiadjis GZ, Al-Rub RKA, Palazotto AN (2004) Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory. Int J Plast 20(6): 981-1038
    • (2004) Int J Plast , vol.20 , Issue.6 , pp. 981-1038
    • Voyiadjis, G.Z.1    Al-Rub, R.K.A.2    Palazotto, A.N.3
  • 45
    • 0027573936 scopus 로고
    • Fundamental issues in finite element analysis of localization of deformation
    • 10.1108/eb023897
    • de Borst R, Sluys LJ, Mühlhaus H-B, Pamin J (1993) Fundamental issues in finite element analysis of localization of deformation. Eng Comput 10: 99-121
    • (1993) Eng Comput , vol.10 , pp. 99-121
    • De Borst, R.1    Sluys, L.J.2    Mühlhaus, H.-B.3    Pamin, J.4
  • 46
    • 0003673118 scopus 로고    scopus 로고
    • Hibbitt, Karlsson, Sorensen, Inc. Pawtucket, Rhode Island
    • Hibbitt, Karlsson, Sorensen, Inc. (2011) Abaqus/standard user's manual v. 6.9. Pawtucket, Rhode Island
    • (2011) Abaqus/standard User's Manual V. 6.9
  • 47
    • 80051585071 scopus 로고    scopus 로고
    • Nonlocal damage gradient model for fracture characterization of aluminum alloy
    • 10.1177/1056789510395364
    • Chow CL, Mao J, Shen J (2011) Nonlocal damage gradient model for fracture characterization of aluminum alloy. Int J Damage Mech 20(7): 1073-1093
    • (2011) Int J Damage Mech , vol.20 , Issue.7 , pp. 1073-1093
    • Chow, C.L.1    Mao, J.2    Shen, J.3
  • 48
    • 0036612412 scopus 로고    scopus 로고
    • Consistent tangent stiffness for nonlocal damage models
    • 10.1016/S0045-7949(02)00078-0
    • Jirasek M, Patzák B (2002) Consistent tangent stiffness for nonlocal damage models. Comput Struct 80(14-15): 1279-1293
    • (2002) Comput Struct , vol.80 , Issue.14-15 , pp. 1279-1293
    • Jirasek, M.1    Patzák, B.2
  • 49
    • 84878659620 scopus 로고
    • The creep of ice in bending
    • 10.1139/p63-016
    • Krausz AS (1963) The creep of ice in bending. Can J Phys 41(1): 167-177
    • (1963) Can J Phys , vol.41 , Issue.1 , pp. 167-177
    • Krausz, A.S.1
  • 50
    • 0026253993 scopus 로고
    • Statistical size effect in quasi-brittle structures: II nonlocal theory
    • 10.1061/(ASCE)0733-9399(1991)117:11(2623)
    • Bazant Z, Xi Y, Reid S (1991) Statistical size effect in quasi-brittle structures: II nonlocal theory. J Eng Mech 117(11): 2623-2640
    • (1991) J Eng Mech , vol.117 , Issue.11 , pp. 2623-2640
    • Bazant, Z.1    Xi, Y.2    Reid, S.3
  • 51
    • 0345867394 scopus 로고    scopus 로고
    • Size effect on structural strength: A review
    • 0970.74065
    • Bazant ZP (1999) Size effect on structural strength: a review. Arch Appl Mech 69(9-10): 703-725
    • (1999) Arch Appl Mech , vol.69 , Issue.9-10 , pp. 703-725
    • Bazant, Z.P.1
  • 52
    • 34147112265 scopus 로고    scopus 로고
    • Application of the modified Murakami's anisotropic creep damage model to 3D rotationally-symmetric problem
    • Ganczarski A, Skrzypek J (2001) Application of the modified Murakami's anisotropic creep damage model to 3D rotationally-symmetric problem. Tech Mech 21(4): 251-260
    • (2001) Tech Mech , vol.21 , Issue.4 , pp. 251-260
    • Ganczarski, A.1    Skrzypek, J.2
  • 53
    • 0002572402 scopus 로고
    • On the sliding of glaciers
    • Weertman J (1957) On the sliding of glaciers. J Glaciol 3(21): 33-38
    • (1957) J Glaciol , vol.3 , Issue.21 , pp. 33-38
    • Weertman, J.1


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