Simulation of asymmetric effects for shape memory alloys by decomposition of transformation strains

Computational Materials Science

Volumn 42, Issue 2, 2008, Pages 295-305

  Mahnken, Rolf ^a   Wilmanns, Stefan ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

Asymmetric effects; Finite elements; Parameter identification; Shape memory alloys

Indexed keywords

MARTENSITE; NICKEL COMPOUNDS; PLASTICITY; SHAPE MEMORY EFFECT; STRAIN CONTROL; THERMODYNAMICS;

ASYMMETRIC EFFECTS; TRANSFORMATION STRAINS;

MICROSTRUCTURE;

EID: 40249105928     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2007.07.042     Document Type: Article

References (44)

1. Abaqus-Version 6.5, Users Manual, Hibbett, Karlsson and Sorensen, Inc., 2002.
2. Altenbach H., Altenbach J., and Zolochevsky A. Erweiterte Deformations modelle und Versagenskriterien der Werkstoffmechanik (1995), Deutscher Verlag für Grundstoffindustrie, Stuttgart
3. Auricchio F. Int. J. Plasticity 17 (2001) 971-990
4. Auricchio F., and Petrini L. Int. J. Numer. Methods Eng. 55 (2002) 1255-1284
5. Ball J.M. Mater. Sci. Eng. A 378 (2004) 61-69
6. Bhattacharya K. Microstructure of Martensite Why it forms and how it gives rise to the shape-memory effect (2003), Oxford University Press
7. Betten J., Sklepus S., and Zolochevsky A. Eng. Fract. Mech. 59 5 (1998) 623-641
8. Betten J., Sklepus S., and Zolochevsky A. Int. J. Damage Mech. 8 (1999) 197-232
9. Bouvet C., Calloch S., and Lexcellent C. Eur. J. Mech. - A/Solids 23 (2004) 37-61
10. Boyd J., and Lagoudas D. In: Brinson L.C., and Moran B. (Eds). Mechanics of Phase Transformations and Shape Memory Alloys (1994), The American Society of Mechanical Engineers
11. Ehlers W. Arch. Appl. Mech. 65 (1995) 246-259
12. Falk F. Arch. Mech. 35 (1983) 63-84
13. Fremond M. In: Fremond M., and Miyazaki S. (Eds). Shape Memory Alloys (1996), Springer-Verlag 3-68
14. Gall K., Sethitoglu H., Chumlyakov Y.I., and Kireeva I.V. Acta Mater. 47 4 (1999) 1203-1217
15. Gall K., and Sethitoglu H. Int. J. Plasticity 15 (1999) 69-92
16. Hamilton R.F., Sehitoglu H., Chumlyakov Y., and Maier H.J. Acta Mater. 52 (2004) 3383-3402
17. Hackl K., Zhang W., Schmidt-Baldassari M., and Hoppe U. Mat.-wiss. u. Werkstofftech. 35 5 (2004)
18. D. Helm, Ph.D. thesis, Institute of Mechanics, Department of Mechanical Engineering, University of Kassel, 2001 (in German).
19. Helm D., and Haupt P. Int. J. Solids Struct. 40 (2003) 825-849
20. Lexcellent C., and Rejzner J. Smart Mater. Struct. 9 (2000) 613-621
21. Lexcellent C., Vivet A., Bouvet C., Calloch S., and Blanc P. J. Mech. Phys. Solids 50 (2002) 2717-2735
22. Liu Y., Xie Z., van Humbeeck J., and Delaey L. Acta Mater. 46 12 (1998) 4325-4338
23. Lubliner J., and Auricchio F. Int. J. Solids Struct. 33 (1996) 991-1003
24. Mahnken R. Comp. Meth. Appl. Mech. Eng. 190 (2001) 5057-5080
25. Mahnken R. Int. J. Solids Struct. 40 (2003) 6189-6209
26. Mahnken R. In: Stein E., and deBorst (Eds). Encyclopedia of Computational Mechanics (2004), Wiley, Hughes
27. Müller I. In: Carlson D.E., and Shield R.T. (Eds). Finite Elasticity (1982), IUTAM Symposium Lehigh University, PA, USA
28. Okamoto K., Ichinose S., Morii K., Otsuka K., and Shimizu K. Acta Metall. 34 10 (1986) 2065-2073
29. Orgéas L., and Favier D. Acta Mater. 46 15 (1998) 5579-5591
30. Paiva A., Savi M.A., Braga A.M.B., and Pacheco P.M.C.L. Int. J. Solids Struct. 42 11-12 (2005) 3439-3457
31. Patoor E., El Amrani M., Eberhardt A., and Berveiller M. J. Phys. IV, Col. C2 5 (1994) 495-501
32. Qidwai M.A., and Lagoudas D.C. Int. J. Plasticity 16 (2000) 1309-1343
33. Raniecki B., and Lexcellent C. Eur. J. Mech. - A/Solids 17 2 (1998) 185-205
34. Roubicek T. Models of Microstructure Evolution in Shape Memory Alloys vol. 170 (2005), Springer, Netherlands pp. 269-304
35. Saburi T., Yoshida M., and Nenno S. Scripta Metall. 18 (1984) 363-366
36. Sehitoglu H., Karaman I., Anderson R., Zhang X., Gall K., Maier H.J., and Chumlyakov Y. Acta Mater. 48 (2000) 3311-3326
37. Sehitoglu H., Karaman I., Zhang X., Viswanath A., Chumlyakov Y., and Maier H.J. Acta Mater. 49 (2001) 3621-3634
38. Souza A.C., Mamiya E.N., and Zouain N. Eur. J. Mech. - A/Solids 17 (1998) 789-806
39. Spitzig W.A., Sober R.J., and Richmond O. Acta Metall. 23 (1975) 885-893
40. Trusdell C., and Noll W. In: Flügge S. (Ed). Encyclopedia of Physics vol. III/3 (1960), Springer-Verlag
41. Voyiadjis G.Z., and Zolochevsky A. Int. J. Plasticity 14 10-11 (1998) 388-399
42. Zolochevskii A.A. Soviet Appl. Mech. (Transl. Prikladnaya Mekhanika) 24 12 (1989) 1212-1217
43. Zolochevskii A.A. Strength Mater. (Transl. Problemy Prochnosti) 22 3 (1990) 422-428
44. Zolochevsky A.A. In: Zyczkovski M. (Ed). Creep in Structures (1991), Springer-Verlag, Berlin 217-220