A CDM approach of ductile damage with plastic compressibility

International Journal of Fracture

Volumn 137, Issue 1-4, 2006, Pages 51-75

  Chaboche, Jean Louise ^a   Boudifa, M ^b   Saanouni, K ^b  

^a ONERA   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

Author keywords

Constitutive equations; Damage mechanics; Ductile damage; Porous materials

Indexed keywords

COMPOSITE MICROMECHANICS; COMPRESSIBILITY; DUCTILE FRACTURE; MATHEMATICAL MODELS; PLASTICITY; POROUS MATERIALS; STRAIN;

CONSTITUTIVE EQUATIONS; DAMAGE MECHANICS; DUCTILE DAMAGE; PLASTIC COMPRESSIBILITY;

FRACTURE MECHANICS;

EID: 33644842100     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-005-3061-5     Document Type: Article

References (48)

1. Z.P. Bažant T. Belytschko 1987 Localization and size effect C.S. Desai Proceedings of the International Conference on Constitutive Laws for Engineering Materials: Theory and Applications Elsevier Tucson
2. A.A. Benzerga 2002 Micromechanics of coalescence in ductile fracture Journal of Mechanics and Physics of Solids 50 1331-1362 10.1016/ S0022-5096(01)00125-9 1026.74064
3. A.A. Benzerga J. Besson A. Pineau 1999 Coalescence-controlled anisotropic ductile fracture Journal of Engineering Materials and Technology 121 221-229
4. J. Besson R. Foersch 1997 Large scale object-oriented finite element code design Computer Methods in Applied Mechanics and Engineering 142 165-187 10.1016/S0045-7825(96)01124-3
5. J. Besson C. Guillemer-Neel 2003 An extension of the Green and Gurson models to kinematic hardening Mechanics of Materials 35 1-18 10.1016/ S0167-6636(02)00169-2
6. J. Besson D. Steglich W. Brocks 2001 Modeling of crack growth in round bars and plane strain specimens International Journal of Solids and Structures 38 46-47 8259-8284
7. W. Brocks A. Cornec I. Scheider 2003 Computational aspects of nonlinear fracture mechanics I. Milne R.O. Ritchie B. Karihaloo Comprehensive Structural Integrity, vol 3 Elsevier-Pergamon Amsterdam 127-209
8. M. Brünig 2002 Numerical analysis and elastic-plastic deformation behavior of anisotropically damaged solids International Journal of Plasticity 18 1237-1270 10.1016/S0749-6419(01)00076-6 1062.74045
9. Chaboche, J.L. (1977). Sur l'utilisation des variables d'état interne pour la description de la viscoplasticité cyclique avec endommagement. In Problèmes Non Linéaires de Mécanique. Symposium Franco-Polonais de Rhéologie et Mécanique, Cracovie, pp. 137-159.
10. J.L. Chaboche 1984 Anisotropic creep damage in the framework of continuum damage mechanics Nuclear Engineering an Design 79 309-319
11. Chaboche, J.L. (2003). Damage mechanics. In: Milne, I., Ritchie, R.O. and B. Karihaloo (eds.) Comprehensive Structural Integrity, vol. 2. Elsevier-Pergamon, pp. 213-284.
12. C.L. Chow J. Wang 1987 An anisotropic theory of Continuum Damage Mechanics for ductile fracture Engineering Fracture Mechanics 27 5 547-558 10.1016/0013-7944(87)90108-1
13. Cordebois, J.P. and Sidoroff, F. (1982). Anisotropie élastique induite par endommagement. In: Boehler J.P. (ed.) Comportement Mécanique des Solides Anisotropes. Number 295 in Colloques internationaux du CNRS, Grenoble, Editions du CNRS, Col. Euromech 115, 1979.
14. K. Decamp L. Bauvineau J. Besson A. Pineau 1996 Size and geometry effects on ductile rupture of notched bars in a C-Mn steel: Experiments and modelling International Journal of Fracture 88 1 1-18
15. J. Devaux M. Gologanu J. Leblond 1993 Approximate models for ductile metals containing non-spherical voids case of axisymmetric oblate ellipsoidal cavities Journal of Mechanics and Physics of Solids 41 11 1723-1754
16. Devaux, J., Gologanu, M. and Leblond, J. (1997). Recent extensions of Gurson's model for porous ductile metals. In: Suquet, P.(ed.) Continuum Micromechanics, vol. 377 of CISM Lecture Series. Springer Verlag, Berlin, pp. 197-264.
17. S. Forest E. Lorentz 2004 Locamlization phenomena and regularization methods J. Besson Local Approach to Fracture Les Presses de l'Ecole des Mines Paris 311-371
18. P. Germain Q.S. Nguyen P. Suquet 1983 Continuum thermodynamics Journal of Applied Mechanics 50 1010-1020 1983ATJAM..50.1010G
19. R. Green 1972 A plasticity theory for porous solids International Journal of Mechanical Science 14 215-224 10.1016/0020-7403(72)90063-X 0247.73038
20. A.L. Gurson 1977 Continuum theory of ductile rupture by void nucleation and growth: Part I - yield criteria and flow rules for porous ductile media Journal of Engineering Materials and Technology 44 1-15
21. P. Ladevèze 1980 Sur la théorie de la plasticité en grandes déformations LMT ENS Cachan Technical Report No. 9
22. Ladevèze, P. and Lemaítre, J. (1984). Damage effective stress in quasi-unilateral condition. In: 16th IUTAM Congress. Lyngby, Denmark.
23. Leblond J.B. and Perrin G. (1995). Rupture ductile des métaux. Cours, Ecole Polytechnique, Palaiseau, France.
24. J. Lemaître 1985 A Continuum Damage Mechanics model for ductile fracture Journal of Engineering Materials and Technology 107 83-89
25. J. Lemaître 1986 Local approach of fracture Engng. Fracture Mechanics 25 5/6 523-537
26. J. Lemaître 1992 A course on Damage Mechanics Springer Berlin
27. J. Lemaître J.L. Chaboche 1990 Mechanics of Solid Materials Cambridge University Press Cambridge, U.K
28. J. Lemaître R. Desmorat M. Sauzay 2000 Anisotropic damage law of evolution European Journal of Mechanics, A/Solids 19 46-47 187-208
29. F. Mudry 1982 Etude de la rupture ductile et de la rupture par clivage d'aciers faiblement alliés UTC Compiègne Ph.d. thesis
30. Murakami, S. and Ohno, N. (1980). A continuum theory of creep and creep damage. In: Ponter, A.R.S. and Hayhurst, D.R. (eds.) Creep in Structures. Leicester, Springer-Verlag 3rd IUTAM Symp., pp. 422-443.
31. Nesnas, K. and Saanouni, K. (2000). A cycle jumping scheme for numerical integration of a damage viscoplastic model under cyclic loading. Revue Européenne des Éléments Finis.
32. T. Pardoen J. Besson 2004 Micromechanics-based constitutive models of ductile fracture J. Besson Local Approach to Fracture Les Presses de l'Ecole des Mines Paris 221-264
33. T. Pardoen J.W. Hutchinson 2000 An extended model for void growth and coalescence Journal of Mechanics and Physics of Solids 48 2467-2512 10.1016/S0022-5096(00)00019-3
34. Pineau, A. (1981). Review of fracture mechanisms and local approaches to predicting crack resistance in low strength steels. In: François, D. et al. (ed.) Advances in Fracture Researches. New-York, Pergamon Press, ICF5. Cannes.
35. J.R. Rice D.M. Tracey 1969 On the ductile enlargement of voids in triaxial stress fields Journal of Mechanics and Physics of Solids 17 20110.1016/0022-5096(69)90033-7
36. Rousselier's, G. (1980). Finite deformation constitutive relations including ductile fracture damage. In: Nemat-Nasser (ed.) Three-Dimensional Constitutive Relations and Ductile Fracture. North-Holland Publ. Comp., 1981 pp. 331-355.
37. G. Rousselier's 1987 Ductile fracture models and their potential in local approach of fracture Nuclear Engineering and Design 105 97-111
38. G. Rousselier's 2001 The Rousselier model for porous metal plasticity and ductile fracture J. Lemaître Handbook of Materials Behavior Models, vol 2 Academic Press New York 436-445 chapter 6.6
39. Saanouni, K. and Chaboche, J.L. (2003). Computational aspects of nonlinear fracture mechanics. In: Milne, I., Ritchie, R.O. and Karihaloo, B. (eds.) Comprehensive Structural Integrity, vol. 3. Elsevier-Pergamon, pp. 321-376.
40. K. Saanouni A. Cherouat Y. Hammi 2001 Amsterdam, Numerical aspects of finite elastoplasticity with isotropic ductile damage for metal forming Revue Européenne des Éléments Finis 10 2-4 327-351
41. K. Siruguet J.B. Leblond 2004 Effect of void locking by inclusions upon the plastic behavior of porous ductile solids - parts i and ii International Journal of Plasticity 20 225-268
42. D. Steglich W. Brocks 1997 Micromechanical modelling of the behaviour of ductile materials including particles Computational Materials Science 9 7-17 10.1016/S0927-0256(97)00053-0
43. D. Steglich W. Brocks 1998 Micromechanical modelling of damage and fracture of ductile materials Fatigue and Fracture of Engineering Materials and Structures 21 1175-1188
44. B. Tanguy J. Besson 2002 An extension of the Rousselier's model to viscoplastic temperature dependent materials International Journal of Fracture 116 1 81-101 10.1023/A:1020192527733
45. V. Tvergaard A. Needleman 1984 Analysis of the cup-cone fracture in a round tensile bar Acta Met. 32 157-169
46. V. Tvergaard A. Needleman 2001 The modified Gurson model J. Lemaître Handbook of Materials Behavior Models, vol 2 Academic Press New York 430-435 chapter 6.5
47. G.Z. Voyiadjis P.I. Kattan 1999 Advances in Damage Mechanics: Metals and Metal Matrix Composites Elsevier Amsterdam
48. ZéBuLoN. (2002). User's Manual. Technical report, Ecole Nationale Supérieure des Mines de Paris. Available from "".