Dynamic thermo-mechanical coupling and size effects in finite shape memory alloy nanostructures

Computational Materials Science

Volumn 63, Issue , 2012, Pages 105-117

  Dhote, R P ^a,b   Melnik, R V N ^b,c   Zu, J ^a  

^a UNIVERSITY OF TORONTO   (Canada)

^b WILFRID LAURIER UNIVERSITY   (Canada)

^c BASQUE FOUNDATION FOR SCIENCE   (Spain)

Author keywords

Finite element method; Microstructures; Nanowires; Phase transformation; Shape memory effects; Thermo mechanical coupling; Twinning

Indexed keywords

COUPLED THERMO-MECHANICAL; CRITICAL SIZE; DEVELOPED MODEL; FE-PD ALLOYS; GINZBURG-LANDAU FREE ENERGY; ISOTHERMAL PHASE TRANSFORMATIONS; LOADING-UNLOADING CYCLES; MECHANICAL DYNAMICS; MODEL DEVELOPMENT; NANO GRAINS; NANO SCALE; NUMERICAL RESULTS; PHASE FIELD MODELS; SEMI-ANALYTICAL MODEL; SIZE EFFECTS; STEEPER SLOPES; TEMPERATURE EVOLUTION; THERMAL PHYSICS; THERMO-MECHANICAL COUPLING;

ANALYTICAL MODELS; DYNAMICS; FINITE ELEMENT METHOD; MARTENSITIC TRANSFORMATIONS; MICROSTRUCTURE; MODELS; NANOWIRES; PHASE INTERFACES; PHASE TRANSITIONS; STRESS-STRAIN CURVES; TWINNING; UNLOADING;

SHAPE MEMORY EFFECT;

EID: 84865070308     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2012.05.060     Document Type: Article

References (65)

1. D. Lagoudas Shape Memory Alloys: Modeling and Engineering Applications 2008 Springer London
2. K. Bhattacharya Microstructure of Martensite: Why it Forms and How it Gives Rise to the Shape-Memory Effect 2003 Oxford University Press
3. E. Patoor, D. Lagoudas, P. Entchev, L. Brinson, and X. Gao Mech. Mater. 38 2006 391 429
4. A. Khandelwal, and V. Buravalla Int. J. Struct. Changes Solids - Mech. Appl. 1 2009 111 148
5. L. Chen Annu. Rev. Mater. Res. 32 2002 113 140
6. L. Chen J. Am. Ceram. Soc. 91 2008 1835 1844
7. D. Seol, S. Hu, Y. Li, L. Chen, and K. Oh Mater. Sci. Forum 408 2002 1645 1650
8. J. Zhang, Y. Li, D. Schlom, L. Chen, F. Zavaliche, R. Ramesh, and Q. Jia Appl. Phys. Lett. 90 2007 052909
9. J. Slutsker, A. Antermev, and A. Roytburd Phys. Rev. Lett. 100 2008 087602
10. A. Khachaturian Theory of Structural Transformations in Solids 1983 John Wiley and Sons New York, NY
11. A. Artemev, Y. Jin, and A. Khachaturyan Acta Mater. 49 2001 1165 1177
12. R. Melnik, A. Roberts, and K. Thomas Proc. SPIE 3667 1999 290 301
13. R. Melnik, A. Roberts, and K.A. Thomas Comput. Mater. Sci. 18 2002 255 268
14. R. Ahluwalia, T. Lookman, and A. Saxena MRS Bull. 54 2006 2109 2120
15. M. Bouville, and R. Ahluwalia Acta Mater. 56 2008 3558 3567
16. A. Idesman, J. Cho, and V. Levitas Appl. Phys. Lett. 93 2008 043102
17. V. Levitas, and D. Preston Phys. Rev. B 66 2002 134206
18. S. Gadaj, W. Nowacki, and E. Pieczyska Infrared Phys. Technol. 43 2002 151 155
19. E. Pieczyska, H. Tobushi, in: 10'th International Conference on Quantitative InfraRed Thermography, 2010, pp. 5-10.
20. E. Pieczyska, S. Gadaj, W. Nowacki, and H. Tobushi Exp. Mech. 46 2006 531 542
21. R. Melnik, and R. Mahapatra Comput. Struct. 85 2007 698 711
22. L. Wang, and R. Melnik Lect. Notes Comput. Sci. 3029 2004 645 652
23. L. Wang, and R. Melnik Mater. Sci. Eng. A Struct. Mater. 438-440 2006 427 430
24. T. Waitz, T. Antretter, F. Fischer, N. Simha, and H. Karnthaler Acta Mater. 55 2007 419 444
25. A. Thompson, and A. Strachan Phys. Rev. B 81 2009 085429
26. T. Waitz, K. Tsuchiya, T. Antretter, and F. Fischer MRS Bull. 34 2009 814 821
27. M. Porta, T. Castan, P. Lloveras, T. Lookman, A. Saxena, and S. Shenoy Phys. Rev. B 79 2009 214117
28. E. Eliseev, and A. Morozovska J. Mater. Sci. 44 2009 5149 5160
29. C. Carstensen Acta Numer. 5 1996 191 256
30. C. Carstensen Comput. Method Appl. Mech. Eng. 194 2005 169 193
31. S. Müller Variational Models for Microstructure and Phase Transitions: Calculus of Variations and Geometric Evolution Problems 1999 Springer pp. 85-210
32. T. Lookman, S.R. Shenoy, K. Rasmussen, A. Saxena, and A.R. Bishop Phys. Rev. B Condens. Matter. Mater. Phys. 67 2003 24114
33. L. Wang, and R. Melnik Appl. Numer. Math. 58 2008 511 524
34. T. Lookman, and P. Littlewood MRS Bull. 34 2009 822 831
35. R. Melnik, L. Wang, and O. Tsviliuk Proc. of SPIE, Behavior and Mechanics of Multifunctional Materials and Composites 7644 2010 1 10
36. K. Rabe, C. Ahn, and J. Triscone Physics of Ferroelectrics: A Modern Perspective 2007 Springer-Verlag
37. J. Massad, and R. Smith J. Intell. Mater. Syst. Struct. 14 2003 455 471
38. F. Falk Acta Metallurgica 28 1980 1773 1780
39. V. Levitas Proc. 4th European Conference on Computational Mechanics 2010 1 2
40. V. Levitas, and M. Javanbakht Phys. Rev. Lett. 105 2010 105701
41. M. Bouville, and R. Ahluwalia Phys. Rev. B 79 2009 094110
42. A. Planes, P. Lloveras, T. Castán, A. Saxena, and M. Porta Continuum Mech. Thermodyn. 2011 1 9
43. R. Melnik, L. Wang, Int. Conf. on Computational Methods for Coupled Problems in Science and Engineering Coupled Problems, 2009, pp. 1-4.
44. L. Wang, and R. Melnik Mech. Adv. Mater. Struct. 14 2007 665 676
45. L. Wang, and R. Melnik Mater. Sci. Eng. A Struct. Mater. 481-482 2008 190 193
46. Y. Wang, and J. Li Acta Mater. 58 2010 1212 1235
47. R. Melnik, A. Roberts, and K.A. Thomas Comput. Mech. 29 2002 16 26
48. T. Bruce Energy methods Advanced Dynamics for Engineers HRW Series in Mechanical Engineering 1984 CBS College Publishing
49. R.E. Miller, and V.B. Shenoy Nanotechnology 11 2000 139
50. A. Ricci, and A. Ricciardi Sens. Actuat. A Phys. 159 2010 141 148
51. P. Matus, R. Melnik, L. Wang, and I. Rybak Math. Comput. Simulat. 65 2004 489 509
52. T. Waitz, V. Kazykhanov, and H.P. Karnthaler Acta Mater. 52 2004 137 147
53. R. Kretschmer, and K. Binder Phys. Rev. B 20 1979 1065 1076
54. Y. Wang, W. Zhong, and P. Zhang Solid State Commun. 90 1994 329 332
55. Y. Zheng, C. Woo, and B. Wang J. Phys.: Condens. Matter 20 2008 135 216
56. S. Li, J. Eastman, Z. Li, C. Foster, R. Newnham, and L. Cross Phys. Lett. A 212 1996 341 346
57. J. Reddy Energy Principles and Variational Methods in Applied Mechanics 2002 Wiley Publications
58. S. Curnoe, and A. Jacobs Phys. Rev. B 64 2001 064101
59. L. Chen, and J. Shen Comput. Phys. Commun. 108 1998 147 158
60. N. Bubner Continuum Mech. Thermodyn. 8 1996 293 308
61. N. Bubner, G. Mackin, and R. Rogers Comput. Mater. Sci. 18 2000 245 254
62. M. Ben Jaber, H. Smaoui, and P. Terriault Smart Mater. Struct. 17 2008 045005
63. D. Mahapatra, and R. Melnik Math. Comput. Simulat. 76 2007 141 148
64. S. Kartha, J.A. Krumhansl, J.P. Sethna, and L.K. Wickham Phys. Rev. B Condens. Matter. 52 1995 803 822
65. C.J. Austin, T. Hughes, and Y. Bazilevs Isogeometric Analysis: Toward Integration of CAD and FEA 2009 John Wiley & Sons