Generalization of the polycrystalline β-model: Finite element assessment and application to softening material behavior

Computational Materials Science

Volumn 45, Issue 4, 2009, Pages 1104-1112

  Hlilou, A ^a   Naceur, I Ben ^a   Sai K ^a   Gerard C ^b   Forest, S ^b   Cailletaud, G ^b  

^a UNIVERSITY OF SFAX   (Tunisia)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

Finite element; Mean field models; Microstructures; Polycrystalline model; Softening behavior

Indexed keywords

FINITE ELEMENT; FINITE ELEMENT COMPUTATIONS; FINITE ELEMENT TECHNIQUES; GAUSS POINTS; LOCAL STRESS; MACROSCOPIC LEVELS; MATERIAL BEHAVIORS; MATERIAL PARAMETERS; MEAN FIELD MODELS; MEAN STRAINS; MECHANICAL BEHAVIORS; PHASE STRAINS; POLY-CRYSTALLINE; POLYCRYSTALLINE AGGREGATES; POLYCRYSTALLINE MODEL; SCALE TRANSITIONS; SOFTENING BEHAVIOR; STRESS-STRAIN BEHAVIORS; STRESS-STRAIN RESPONSE; SUB-MODELS;

ALUMINUM; MEAN FIELD THEORY; MECHANICAL ENGINEERING; MICROSTRUCTURE; POLYCRYSTALLINE MATERIALS; STRAIN; THERMOELECTRICITY;

FINITE ELEMENT METHOD;

EID: 67349090636     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2009.01.015     Document Type: Article

References (47)

1. Cailletaud G., and Pilvin P. Rev. Eur. EF 3 (1994) 515-541
2. Schurig M., and Bertram A. Comput. Mater. Sci. 25 (2002) 193-199
3. Acharya A., and Beaudoin A.J. J. Mech. Phys. Solids 48 (2000) 2213-2230
4. Beaudoin A.J., Acharya A., Chen S.R., Korzekwa D.A., and Stout M.G. Acta Mater. 48 (2000) 3409-3423
5. Forest S., Barbe F., and Cailletaud G. Int. J. Solids Struct. 37 (2000) 7105-7126
6. Geers M.G.D., Brekelmans W.A.M., and Janssen P.J.M. Int. J. Solids Struct. 43 (2006) 7304-7321
7. Melchior M.A., and Delannay L. Comput. Mater. Sci. 37 (2006) 557-564
8. Ohno N., and Okumura D. J. Mech. Phys. Solids 55 (2007) 1879-1898
9. Evers L.P., Parks D.M., Brekelmans W.A.M., and Geers M.G.D. J. Mech. Phys. Solids 50 (2002) 2403-2424
10. Franciosi P., and Berbenni S. Int. J. Plast. 24 (2008) 1549-1580
11. F. Barbe, Ph.D. thesis, Ecole Nationale Supérieure des Mines de Paris, France, 2000.
12. Staroselsky A., and Anand L. Int. J. Plast. 19 (2003) 1843-1864
13. Ahzi S., and M'Gguil S. Acta Mater. 56 (2008) 5359-5369
14. Cailletaud G., and Saï K. Mater. Sci. Eng. A 480 (2008) 24-39
15. Krishna S., Hassan T., Naceur I.B., Saï K., and Cailletaud G. Int. J. Plast. (2008) 10.1016/j.ijplas.2008.12.00
16. Berveiller M., Muller D., and Kratochvil J. Int. J. Plast. 9 (1993) 633-652
17. Cailletaud G., Forest S., Jeulin D., Feyel F., Galliet I., Mounoury V., and Quilici S. Comput. Mater. Sci. 27 (2003) 351-374
18. Sai K., Cailletaud G., and Forest S. Mech. Mater. 38 (2006) 203-217
19. Raabe D., Sachtleber M., Zhao Z., Roters F., and Zaefferer S. Acta Mater. 49 (2001) 3433-3441
20. Buchheit T.E., Wellman G.W., and Battaile C.C. Int. J. Plast. 21 (2005) 221-249
21. Evrard P., Aubin V., Pilvin Ph., Degallaix S., and Kondo D. Mech. Res. Commun. 35 (2008) 336-343
22. Dick T., and Cailletaud G. Comput. Mater. Sci. 38 (2006) 113-125
23. Méric L., Poubanne P., and Cailletaud G. J. Eng. Mater. Technol. 113 (1991) 162-170
24. Molinari A., Ahzi S., and Kouddane R. Mech. Mater. 26 (1997) 43-62
25. Hill R. J. Mech. Phys. Solids 13 (1965) 89-101
26. Berveiller M., and Zaoui A. J. Mech. Phys. Solids 26 (1978) 325-344
27. Besson J., Leriche R., Foerch R., and Cailletaud G. Rev. Eur. EF 7 (1998) 567-588
28. Besson J., and Foerch R. Comput. Meth. Appl. Mech. Eng. 142 (1997) 165-187
29. K. Le Biavant Guerrier, Ph.D. thesis, Ecole Centrale de Paris, France, 2000.
30. S.R. Kalidindi, B.R. Donohue, S. Li, Int. J. Plast., in press, doi:10.1016/j.ijplas.2008.06.008.
31. Delaire F., Raphanel J.L., and Rey C. Acta Mater. 48 (2000) 1075-1087
32. Barbe F., Decker L., Jeulin D., and Cailletaud G. Int. J. Plast. 17 (2001) 513-536
33. Barbe F., Forest S., and Cailletaud G. Int. J. Plast. 17 (2001) 537-563
34. Watanabe O., Zbib H., and Takenouchi E. Int. J. Plast. 14 (1998) 771-788
35. Weyer S., Fröhlich A., Riesch-Oppermann H., Cizelj L., and Kovac M. Eng. Fract. Mech. 69 (2002) 945-958
36. Lebensohn R.A., Castelnau O., Brenner R., and Gilormini P. Int. J. Solids Struct. 42 (2005) 5441-5459
37. Kuprat A., George D., Straub G., and Demirel M.C. Comput. Mater. Sci. 28 (2003) 199-208
38. Diard O., Leclercq S., Rousselier G., and Cailletaud G. Int. J. Plast. 21 (2005) 691-722
39. Schmauder S., Weber U., and Soppa E. Comput. Mater. Sci. 26 (2003) 142-153
40. Héripré E., Dexet M., Crépin J., Gélébart L., Roos A., Bornert M., and Caldemaison D. Int. J. Plast. 23 (2007) 1512-1539
41. Bhandari Y., Sarkar S., Groeber M., Uchic M.D., Dimiduk D.M., and Ghosh S. Comput. Mater. Sci. 41 (2007) 222-235
42. Musienko A., Tatschl A., Schmidegg K., Kolednik O., Pippan R., and Cailletaud G. Acta Mater. 55 (2007) 4121-4136
43. Zhang M., Zhang J., and McDowell D.L. Int. J. Plast. 23 (2007) 1328-1348
44. Zeghadi A., Forest S., Gourgues A.F., and Bouaziz O. Philos. Mag. 87 (2007) 1425-1446
45. Gérard C., Bacroix B., Bornert M., Cailletaud G., Crépin J., and Leclercq S. Comput. Mater. Sci. (2008) 10.1016/j.commatsci.2008.08.027
46. Abdeljaoued D., Ben Naceur I., Saï K., and Cailletaud G. Mech. Res. Commun. (2009) 10.1016/j.mechrescom.2008.09.012
47. D. Marquis, Ph.D. thesis, Paris IV, France, 1979.