Damage of ductile materials deforming under multiple plastic or viscoplastic mechanisms

International Journal of Plasticity

Volumn 25, Issue 11, 2009, Pages 2204-2221

  Besson, J ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

Deformation mechanisms; Ductile rupture; Kinematic hardening

Indexed keywords

ADDITIVE DECOMPOSITION; CREEP FAILURE; CREEP RESISTANT STEELS; DEFORMATION MECHANISMS; DIFFUSIONAL CREEP; DISLOCATION CREEP; DISSIPATION POTENTIAL; DUCTILE FAILURES; DUCTILE MATERIALS; DUCTILE RUPTURE; FINITE ELEMENT SOFTWARE; GURSON-TVERGAARD-NEEDLEMAN MODEL; HELMHOLTZ FREE ENERGY; IRREVERSIBLE DEFORMATION; KINEMATIC HARDENING; MASS CONSERVATION; PIPELINE STEEL; PLASTIC STRAIN RATE; PRE-COMPRESSION; SINGLE VARIABLE; STANDARD MATERIALS; STATE VARIABLES; STRUCTURAL COMPUTATIONS; VISCOPLASTIC; VISCOPLASTIC DEFORMATION; VISCOPLASTIC FLOWS; VOID GROWTH AND COALESCENCE; VOID NUCLEATION; VOID VOLUME FRACTION; WORK HARDENING; YIELD POTENTIAL;

ALUMINA; COALESCENCE; DUCTILE FRACTURE; FREE ENERGY; GROWTH (MATERIALS); KINEMATICS; NUCLEATION; PLASTICS; STEEL; STRAIN HARDENING; STRAIN RATE; TITRATION; VOID FRACTION;

CREEP;

EID: 70349782023     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2009.03.001     Document Type: Article

References (91)

1. Arndt S., Svendsen B., and Klingbeil D. Modellierung der Eigenspannungen and der Rißspitze mit einem Schägigungsmodell. Technische Mechanik 17 4 (1997) 323-332
2. Ashby M.F., Gandhi C., and Taplin D.M.R. Fracture mechanism maps and their construction for fcc metals and alloys. Acta Metall. 27 (1979) 699-729
3. Bao Y., and Treitler R. Ductile crack formation on notched al2024-t351 bars under compression tension loading. Mater. Sci. Eng. A 384 (2004) 385-394
4. Barlat F., Lege D.J., and Brem J.C. A six-component yield function for anisotropic materials. Int. J. Plasticity 7 (1991) 693-712
5. Benzerga A., Besson J., and Pineau A. Coalescence-controlled anisotropic ductile fracture. J. Eng. Mater. Technol. 121 (1999) 121-229
6. Berdin C., Besson J., Bugat S., Desmorat R., Feyel F., Forest S., Lorentz E., Maire E., Pardoen T., Pineau A., and Tanguy B. Local Approach to Fracture (2004), Presses de l'Ecole des Mines, Paris
7. Besson J., Cailletaud G., Chaboche J.-L., and Forest S. Mécanique non-linéaire des matériaux (2001), Hermes
8. Besson J., Devillers-Guerville L., and Pineau A. Modeling of scatter and size effect in ductile fracture: application to thermal embrittlement of duplex stainless steels. Eng. Fract. Mech. 67 2 (2000) 169-190
9. Besson J., and Foerch R. Large scale object-oriented finite element code design. Comp. Meth. Appl. Mech. Eng. 142 (1997) 165-187
10. Besson J., and Guillemer-Neel C. An extension of the Green and Gurson models to kinematic hardening. Mech. Mater. 35 (2003) 1-18
11. Besson J., Steglich D., and Brocks W. Modeling of crack growth in round bars and plane strain specimens. Int. J. Solids Struct. 38 46-47 (2001) 8259-8284
12. Besson J., Steglich D., and Brocks W. Modeling of plane strain ductile rupture. Int. J. Plasticity 19 10 (2003) 1517-1541
13. Bordreuil C., Boyer J.C., and Sallé E. On modelling the growth and the orientation changes of ellipsoidal voids in a rigid plastic matrix. Model. Simul. Mater. Sci. Eng. 11 3 (2003) 365-380
14. Brocks W., Sun D.Z., and Hönig A. Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials. Int. J. Plasticity 11 (1995) 971-989
15. Bron F., and Besson J. A yield function for anisotropic materials. Application to aluminium alloys. Int. J. Plasticity 20 (2004) 937-963
16. Bron F., and Besson J. Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets. Eng. Fract. Mech. 73 (2006) 1531-1552
17. Brunet M., Morestin F., and Walter-Leberre H. Failure analysis of anisotropic sheet-metals using a non-local plastic damage model. J. Mater. Process. Technol. 170 (2005) 457-470
18. Brünig M. An anisotropic ductile damage model based on irreversible thermodynamics. Int. J. Plasticity 19 10 (2003) 1679-1713
19. Brünig M., Chyra O., Albrecht D., Driemeier L., and Alves M. A ductile damage criterion at various stress triaxialities. Int. J. Plasticity 24 (2008) 1731-1755
20. Budianski, B., Hutchinson, J.W., Slutsky, S., 1982. Void growth and collapse in viscous solids. In: Hopkins, H.G., Sewell, M.J. (Eds.), Mechanics of Solids - The Rodney Hill 60th Anniversary Volume. Pergamon, pp. 13-45.
21. Celentano D.J., and Chaboche J.L. Experimental and numerical characterization of damage evolution in steels. Int. J. Plasticity 23 (2007) 1739-1762
22. Chaboche J.L. A review of some plasticity and viscoplasticity constitutive theories. Int. J. Plasticity 24 (2008) 1642-1693
23. Chaboche J.L., Boudifa M., and Saanouni K. A CDM approach of ductile damage with plastic compressibility. Int. J. Fracture 137 1-4 (2006) 51-75
24. Challier M., Besson J., Laiarinandrasana L., and Piques R. Damage and fracture of PVDF at 20 °C. Eng. Fract. Mech. 73 (2006) 79-90
25. Chu C.C., and Needleman A. Void nucleation effects in biaxially stretched sheets. J. Eng. Mater. Technol. 102 (1980) 249-256
26. Contesti E., and Cailletaud G. Description of creep-plasticity interaction with non-unified constitutive equations. Nucl. Eng. Des. 116 (1989) 265
27. Dotta F., and Ruggieri C. Structural integrity assessments of high pressure pipelines with axial flaws using a micromechanics model. Int. J. Pressure Vessels Piping 81 (2004) 761-770
28. Eggeler G., Earthman J.C., Nilsvang N., and Ilschner B. Microstructural study of creep rupture in a 12% chromium ferritic steel. Acta Metall. 37 1 (1989) 49-60
29. Enakoutsa K., Leblond J.B., and Perrin G. Numerical implementation and assessment of a phenomenological nonlocal model of ductile rupture. Comp. Meth. Appl. Mech. Eng. 196 13-16 (2007) 1946-1957
30. Enami K. Ductile crack initiation behavior in steels with compressive prestrain. J. Mar. Sci. Technol. 10 (2005) 10-41
31. Enami K. The effects of compressive and tensile prestrain on ductile fracture initiation in steels. Eng. Fract. Mech. 72 7 (2005) 1089-1105
32. Faleskog J., Gao X., and Shih C.F. Cell model for nonlinear fracture analysis - I. Micromechanics calibration. Int. J. Fracture 89 (1998) 355-373
33. Foerch R., Besson J., Cailletaud G., and Pilvin P. Polymorphic constitutive equations in finite element codes. Comp. Meth. Appl. Mech. Eng. 141 (1997) 355-372
34. Frost H.J., and Ashby M.F. Deformation-mechanism Maps: the Plasticity and Creep of Metals and Ceramics (1982), Pergamon Press, Oxford
35. Gaffard V., Besson J., and Gourgues-Lorenzon A.F. Creep failure model of a tempered martensitic stainless steel integrating multiple deformation and damage mechanisms. Int. J. Fracture 133 2 (2005) 139-166
36. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities. J. Mech. Phys. Solids 41 11 (1993) 1723-1754
37. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric oblate ellipsoidal cavities. J. Eng. Mater. Technol. 116 (1994) 290-297
38. Gologanu M., Leblond J.B., Perrin G., and Devaux J. Recent extensions of Gurson's model for porous ductile metals. In: Suquet P. (Ed). Continuum Micromechanics. CISM Lectures Series (1997), Springer, New York
39. Grange M., Besson J., and Andrieu E. An anisotropic Gurson model to represent the ductile rupture of hybrided Zircaloy-4 sheets. Int. J. Fracture 105 3 (2000) 273-293
40. Green R.J. A plasticity theory for porous solids. Int. J. Mech. Sci. 14 (1972) 215-224
41. Gullerud A.S., Gao X., Dodds Jr. R.H., and Haj-Ali R. Simulation of ductile crack growth using computational cells: numerical aspects. Eng. Fract. Mech. 66 (2000) 65-92
42. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. Part I - Yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. 99 (1977) 2-15
43. Halphen B., and Nguyen Q.S. Sur les matriaux standards généralisés. J. Mécanique 14 1 (1975) 39-63
44. Hammi Y., and Horstemeyer M.F. A physically motivated anisotropic tensorial representation of damage with separate functions for void nucleation growth and coalescence. Int. J. Plasticity 23 (2007) 1641-1678
45. Hill R. The Mathematical Theory of Plasticity (1950), Clarendon Press, Oxford
46. Kachanov M. Elastic solids with many cracks and related problems. Adv. Appl. Mech. 30 (1994) 259-445
47. Kailasam M., Aravas N., and Ponte Castañeda P. Porous metals with developing anisotropy: constitutive models, computational issues and applications to deformation processing. Comput. Model. Eng. Sci. 1 2 (2000) 105-118
48. Kang G., Liu Y., Ding J., and Gao Q. Uniaxial ratcheting and fatigue failure of tempered 42CrMo steel: damage evolution and damage-coupled visco-plastic constitutive model. Int. J. Plasticity 25 5 (2009) 838-860
49. Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41 (1993) 1859-1886
50. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids Struct. 24 8 (1988) 835-853
51. Kostryzhev A.G., Strangwood M., and Davis C.L. Influence of microalloying precipitates on Bauschinger effect during UOE forming of line pipe steels. Mater. Technol. 22 3 (2007) 166-172
52. Leblond J.B., Perrin G., and Devaux J. An improved Gurson-type model for hardenable ductile metals. Eur. J. Mech. 14A 4 (1995) 499-527
53. Leblond J.B., Perrin G., and Suquet P. Exact results and approximate models for porous viscoplastic solids. Int. J. Plasticity 10 3 (1994) 213-235
54. Lemaitre J. A continuous damage mechanics model for ductile fracture. J. Eng. Mater. Technol. 107 (1985) 83-89
55. Lemaitre J. A Course on Damage Mechanics (1996), Springer Verlag, Berlin
56. Lemaitre J., and Chaboche J.L. Mechanics of Solid Materials (1990), Cambridge University Press, Cambridge, UK
57. Lemaitre J., and Desmorat R. Engineering Damage Mechanics (2005), Springer
58. Lorentz E., and Andrieux S. A variational formulation for nonlocal damage models. Int. J. Plasticity 15 2 (1999) 119-138
59. Lorentz E., Besson J., and Cano V. Numerical simulation of ductile fracture with the Rousselier constitutive law. Comp. Meth. Appl. Mech. Eng. 197 21-24 (2008) 1965-1982
60. Mear M.E., and Hutchinson J.W. Influence of yield surface curvature on flow localization in dilatant plasticity. Mech. Mater. 4 (1985) 395-407
61. Mediavilla J., Peerlings R.H.J., and Geers M.G.D. Discrete crack modelling of ductile fracture driven by non-local softening plasticity. Int. J. Numer. Meth. Eng. 66 4 (2006) 661-688
62. Monchiet V., Cazacu O., Charkaluk E., and Kondo D. Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids. Int. J. Plasticity 24 (2008) 1158-1189
63. Nègre P., Steglich D., and Brocks W. Crack extension in aluminium welds: a numerical approach using the Gurson-Tvergaard-Needleman model. Eng. Fract. Mech. 71 (2004) 2365-2383
64. Othman A.M., Dyson B.F., Hayhurst D.R., and Lin J. Continuum damage mechanics modelling of circumferentially notched tension bars undergoing tertiary creep with physically based constitutive equations. Acta Metall. Mater. 42 3 (1994) 597-611
65. Pardoen T., Doghri I., and Delannay F. Experimental and numerical comparison of void growth models and void coalescence criteria for the prediction of ductile fracture in copper bars. Acta Mater. 46 2 (1998) 541-552
66. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. J. Mech. Phys. Solids 48 12 (2000) 2467-2512
67. Pardoen T., and Hutchinson J.W. Micromechanics-based model for trends in toughness of ductile metals. Acta Mater. 51 (2003) 133-148
68. Perrin I.J., and Hayhurst D.R. Continuum damage mechanics analyses of type IV creep failure in ferritic steel crossweld specimens. Int. J. Pressure Vessels Piping 76 9 (1999) 599-617
69. Pineau A. Development of the local approach to fracture over the past 25 years: theory and applications. Int. J. Fracture 138 1-4 (2006) 139-166
70. Pirondi A., and Bonora N. Modeling ductile damage under fully reversed cycling. Comput. Mat. Sci. 26 (2003) 129-141
71. Pirondi A., Bonora N., Steglich D., Brocks W., and Hellmann D. Simulation of failure under cyclic plastic loading by damage models. Int. J. Plasticity 22 (2006) 2146-2170
72. Rivalin F., Besson J., Di Fant M., and Pineau A. Ductile tearing of pipeline-steel wide plates - II. Modeling of in-plane crack propagation. Eng. Fract. Mech. 68 3 (2000) 347-364
73. Rousselier G. Ductile fracture models and their potential in local approach of fracture. Nucl. Eng. Des. 105 (1987) 97-111
74. Rousselier G. Application de l'analyse de stabilité d'une perturbation à la localisation de la déformation dans un matériau dilatable adoucissant. C. R. Acad. Sci. Paris 313 Série II (1991) 1367-1373
75. Ruggieri C., and Dodds R.H. A transferability model for brittle fracture including constraint and ductile tearing effects: a probabilistic approach. Int. J. Fracture 79 (1996) 309-340
76. Shima S., and Oyane M. Plasticity theory for porous metals. Int. J. Mech. Sci. 18 (1976) 285-291
77. Sidoroff F., and Dogui A. Some issues about anisotropic elastic-plastic models at finite strain. Int. J. Solids Struct. 38 (2001) 9569-9578
78. Siegmund T., and Brocks W. Prediction of the work of separation and implications to modelling. Int. J. Fracture 99 (1999) 97-116
79. Steenbrink A.C., and Van der Giessen E. Void growth in glassy polymers: effect of yield properties on hydrostatic expansion. Int. J. Damage Mech. 7 7 (1997) 317-330
80. Steenbrink A.C., Van der Giessen E., and Wu P.D. Void growth in glassy polymers. J. Mech. Phys. Solids 45 3 (1997) 405-437
81. Tanguy B., and Besson J. An extension of the Rousselier model to viscoplastic temperature dependent materials. Int. J. Fracture 116 1 (2002) 81-101
82. Thomason P.F. Ductile Fracture of Metals (1990), Pergamon Press, Oxford
83. Thomason P.F. A theory for ductile fracture by internal necking of cavities. J. Inst. Metals 96 (1968) 360-365
84. Thomason P.F. A three-dimensional model for ductile fracture by the growth and coalescence of microvoids. Acta Metall. 33 6 (1985) 1087-1095
85. Thomason P.F. Three-dimensional models for the plastic limit - loads at incipient failure of the intervoid matrix in ductile porous solids. Acta Metall. 33 6 (1985) 1079-1085
86. Tvergaard V. Material failure by void growth to coalescence. Adv. Appl. Mech. 27 (1990) 83-151
87. Tvergaard V., and Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 32 (1984) 157-169
88. Tvergaard V., and Needleman A. Effect of material rate sensitivity on failure modes in the Charpy V-notch test. J. Mech. Phys. Solids 34 3 (1986) 213-241
89. Wilshire B., and Scharning P.J. Creep ductilities of 9-12% chromium steels. Scripta Mater. 56 (2007) 1023-1026
90. Zaïri F., Naït-Abdelaziz M., Gloaguen J.M., and Lefebvre J.M. Modelling of the elasto-viscopastic damage behaviour of glassy polymers. Int. J. Plasticity 24 (2008) 945-965
91. Zhang Z.L., and Niemi E. A new failure criterion for the Gurson-Tvergaard dilational constitutive model. Int. J. Fracture 70 (1995) 321-334