A micromechanical model for inelastic ductile damage prediction in polycrystalline metals for metal forming

International Journal of Mechanical Sciences

Volumn 51, Issue 6, 2009, Pages 453-464

  Boudifa, M ^a   Saanouni, K ^a   Chaboche, J L ^a,b  

^a UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

^b ONERA   (France)

Author keywords

Constitutive equations; Continuum damage mechanics; Crystal plasticity; Finite element analysis; Micro macro approach; Self consistent models

Indexed keywords

COUPLED MODELS; CRYSTAL PLASTICITY; CRYSTALLOGRAPHIC SLIP; CYLINDRICAL CUPS; DAMAGE VARIABLES; DUCTILE DAMAGE; FINITE ELEMENT ANALYSIS; FRACTURE PREDICTION; FULLY-COUPLED; MATERIAL DEGRADATION; MICRO-DEFECTS; MICRO-MACRO APPROACH; MICRO-MECHANICAL; MICRO-MECHANICAL MODELING; MICROMECHANICAL MODEL; PLASTIC BEHAVIOR; PLASTIC STRAIN LOCALIZATION; POLYCRYSTALLINE METALLIC MATERIALS; POLYCRYSTALLINE METALS; POLYCRYSTALLINE PLASTICITY; SELF-CONSISTENT MODELS; TENSILE TESTS; THIN SHEET;

AGGLOMERATION; COALESCENCE; COMPOSITE MICROMECHANICS; CONSTITUTIVE EQUATIONS; CONTINUUM DAMAGE MECHANICS; DEEP DRAWING; DRAWING (FORMING); FRACTURE MECHANICS; METAL FORMING; PLASTICITY; POLYCRYSTALLINE MATERIALS; TENSILE TESTING;

FINITE ELEMENT METHOD;

EID: 66049151267     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2009.03.014     Document Type: Article

References (58)

1. Abdul-Latif A., Dingli J.P., and Saanouni K. Modeling of complex cyclic inelasticity in heterogeneous polycrystalline microstructure. Mechanics of Materials 30 4 (1998) 287-305
2. Abdul-Latif A., and Saanouni K. Damaged anelastic behavior of FCC polycrystalline metals with micromechanical approach. International Journal of Damage Mechanics (USA) 3 3 (1994) 237-259
3. Abdul-Latif A., and Saanouni K. Effect of some parameters on the plastic fatigue behaviour with micromechanical approach. International Journal of Damage Mechanics (USA) 6 4 (1997) 433-452
4. Anand L. Single-crystal elasto-viscoplasticity: application to texture evolution in polycrystalline metals at large strains. Computer Methods in Applied Mechanics and Engineering 193 48-51 (2004) 5359-5383
5. Asaro R.J. Crystal plasticity. Journal of Applied Mechanics 50 (1983) 921
6. Barbe F., Decker L., Jeulin D., and Cailletaud G. Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model. International Journal of Plasticity 17 4 (2001) 513-536
7. Berveiller M., and Zaoui A. An extension of the self-consistent scheme to plasticity flowing polycrystals. Journal of the Mechanics and Physics of Solids 26 (1979) 325-344
8. Besson J., and Foerch R. Large scale object-oriented finite element code design. Computer Methods in Applied Mechanics and Engineering 142 1-2 (1997) 165-187
9. Boudifa M. Multi-scale modeling of damaged polycrystalline materials. PhD Thesis, University of Technologie of Troyes, France, 2006. 223p [in French].
10. Boudifa M, Saanouni K, Chaboche JL. A Micromechanical Model For Inelastic Ductile Damage Prediction In Polycrystalline Metals. In: The seventh international conference on Computation Structures Technology (CST2004), Lisbon, Portugal, 7-9 September 2004.
11. Brünig M., and Obrecht H. Finite elasto-plastic deformation behavior of crystalline solids based on a non-associated macroscopic flow rule. International Journal of Plasticity 14 12 (1998) 1189-1208
12. Budiansky B, Wu TT. In: Rosenberg RM, editor. Proceedings of the fourth US national congress of applied mechanics. Berkeley, CA. 18-21 June 1962. New York: American Society of Mechanical Engineers; 1962. p. 1175.
13. Bugat S. Comportement et endommagement des aciers austeno-ferritiques vieillis: une approche micromécanique. Doctorat Sciences et génie des matériaux, ENSMP-Centre des Matériaux P.M. Fourt, ENSMP, 2000. p. 290.
14. Cailletaud G. A micromechanical approach to inelastic behavior of metals. International Journal of Plasticity 8 1 (1991) 55-74
15. Cailletaud G. A micromechanical approach to inelastic behaviour of metals. International Journal of Plasticity 8 1 (1992) 55-73
16. Cailletaud G., Forest S., Jeulin D., Feyel F., Galliet I., Mounoury V., et al. Some elements of microstructural mechanics. Computational Materials Science 27 3 (2003) 351-374
17. Cailletaud G., and Pilvin P. Utilisation de modèles polycristallins pour le calcul par éléments finis. Revue Européenne des Éléments finis 3 4 (1994) 515-541
18. Chaboche J.L. Continuous Damage Mechanics: a tool to describe phenomena before crack initiation. Nuclear Engineering and Design 64 (1981) 233-247
19. Chaboche J.L. Continuum damage mechanics. I-General concepts. II-Damage growth, crack initiation, and crack growth. ASME, Transactions, Journal of Applied Mechanics 55 (1988) 59-72
20. Chaboche J.L. Damage mechanics. In: Milne I., Ritchie R.O., and Karihaloo B. (Eds). Comprehensive structural integrity vol. 2 (2003), Elsevier-Pergamon, Amsterdam, Oxford 213-284
21. Chaboche J.L., Boudifa M., and Saanouni K. A CDM approach of ductile damage with plastic compressibility. International Journal of Fracture 137 1 (2006) 51-75
22. Chaboche J.L., and Cailletaud G. Integration methods for complex plastic constitutive equations. Computer Methods in Applied Mechanics and Engineering 133 1-2 (1996) 125-155
23. Chaboche JL, Saanouni K, Boudifa M. A CDM approach of ductile damage with plastic volume changes. ICTAM04, Krakov (Invited paper); 2004.
24. Dao M., and Asaro R.J. Non-Schmid effects and localized plastic flow intermetallic alloys. Material Science and Engineering A170 (1993) 143-160
25. Diard O., Leclercq S., Rousselier G., and Cailletaud G. Distribution of normal stress at grain boundaries in multicrystals: application to an intergranular damage modeling. Computational Materials Science 25 1-2 (2002) 73-84
26. Dingli J.P., Abdul-Latif A., and Saanouni K. Predictions of the complex cyclic behavior of polycrystals using a self-consistent modeling. International Journal of Plasticity 16 3-4 (2000) 411-437
27. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proceedings of the Royal Society A 241 (1957) 376-396
28. Feyel F., and Chaboche J.-L. FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Computer Methods in Applied Mechanics and Engineering 183 3-4 (2000) 309-330
29. Forest S., Cailletaud G., Jeulin D., Feyel F., Galliet I., Mounoury V., et al. Introduction au calcul de microstructuresElements of microstructural mechanics. Mecanique & Industries 3 5 (2002) 439-456
30. Forest S., and Pilvin P. Modelling finite deformation of polycrystals using local objectives frames. Zeitschrift für angewandte Mathematik und Mechanik 79 (1999) S199-S202
31. Franciosi P. The concept of latent hardening and strain hardening in metallic single crystals. Acta Metallurgica 33 (1985) 1601-1985
32. 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 Courses and Lectures 377 (1997), Springer, Berlin 61-130
33. Gurson AL. Porous rigid-plastic materials containing rigid inclusions-yield function, plastic potential and void nucleation. In: Proceedings of the conference on fracture, vol. 2, 1977. p. 357-64.
34. Habraken A.M., and Duchene L. Anisotropic elasto-plastic finite element analysis using a stress-strain interpolation method based on a polycrystalline model. International Journal of Plasticity 20 8-9 (2004) 1525-1560
35. Hill R. Continuum micro-mechanics of elastoplastic polycrystals. Journal of the Mechanics and Physics of Solids 13 (1965) 89-101
36. Hutchinson J.W. Elastic-plastic behaviour of polycrystalline metals and composites (stress-strain curves of polycrystalline metals and composites using single crystal elastoplastic model). Royal Society/London/Proceedings, Series A 319 1537 (1970) 247-272
37. Kalidindi S.R., and Schoenfeld S.E. On the prediction of yield surfaces by the crystal plasticity models for fcc polycrystals. Materials Science and Engineering A 293 1-2 (2000) 120-129
38. Kröner E. Zur plastischen verformung des vielkristalls. Acta Metallurgica 9 (1961) 155-161
39. Kurouda M., and Kwabar T. Shear-band development in polycristalline metal with strength-differential effect and plastic volume expansion. Proceedings of the Royal Society of London A458 (2002) 2243-2259
40. Lemaître J. A continuum damage mechanics model for ductile fracture. Journal of Engineering Materials and Technology 107 (1985) 83-89
41. Lemaitre J., and Chaboche J.L. Mechanics of solid materials (1990), Cambridge University Press, Cambridge, UK
42. Lin T.H. Analysis of elastic and plastic strains of face centered cubic crystal. Journal of the Mechanics and Physics of Solids 5 (1957) 143-149
43. Miehe C., and Schotte J. Anisotropic finite elastoplastic analysis of shells: simulation of earing in deep-drawing of single- and polycrystalline sheets by Taylor-type micro-to-macro transitions. Computer Methods in Applied Mechanics and Engineering 193 1-2 (2004) 25-57
44. Molinari A., Canova G.R., and Ahzi S. A self consistent approach of the large deformation polycrystal viscoplasticity. Acta Metallurgica 35 12 (1987) 2983-2994
45. Montillet F., and Moussy F. Physique et mécanique de l'endommagement (1986), Edn. Les éditions de physique, Les Ulis, France
46. Mura T. Micromechanics of defects in solids. Second, Revised ed (1987), Martinus Nijhoff Publishers, Dordrecht, The Netherlands 587pp
47. Pilvin P. The contribution of micromechanical approaches to the modelling of inelastic behaviour of polycrystals. In: Société Francaise de Métallurgie et de matériaux, vol. I, May 1994. p. 31-45.
48. Raabe D., and Roters F. Using texture components in crystal plasticity finite element simulations. International Journal of Plasticity 20 3 (2004) 339-361
49. Rousselier G. Ductile fracture models and their potential in local approach of fracture. Nuclear Engineering and Design 105 1 (1987) 97-111
50. Saanouni K., and Abdul-Latif A. Micromechanical modeling of low cycle fatigue under complex loadings-Part I. Theoretical formulation. International Journal of Plasticity 12 9 (1996) 1111-1121
51. Saanouni K, Chaboche JL. Computational damage mechanics. Application to Metal Forming; 2003.
52. Saanouni K, Cherouat A, Mariage JF, Nesnas K. On the numerical simulation of 3D forging of some complex parts considering the damage occurrence. In: 4th international ESAFORM conference on material forming; Liege; Belgium, 23-25 April 2001. p. 593-6.
53. Sachs G. Zur Ableitung einer Fliessbedingung. Zeitschrift des Vereins deutscher Ingenieure 72 (1928) 734
54. Schmid E., and Boas W. Kristallplastizität mit besonderer Berücksichtigung der Metalle (1935), Springer, Berlin
55. Taylor G.I. Plastic strain in metals. Journal of the Institute of Metals 62 (1938) 307
56. Tvergaard V. On localization in ductile materials containing spherical voids. International Journal of Fracture 18 4 (1982) 237-252
57. Tvergaard V., and Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica 32 1 (1984) 157-169
58. ZéBuLoN. Zset/Zébulon: Developer Manual, 2005.