Training-induced criticality in martensites

Physical Review Letters

Volumn 99, Issue 7, 2007, Pages

  Pérez Reche, Francisco José ^a,b   Truskinovsky, Lev ^b   Zanzotto, Giovanni ^a  

^a UNIVERSITY OF PADOVA   (Italy)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; CORRELATION METHODS; DYNAMICAL SYSTEMS; HYSTERESIS; PHASE TRANSITIONS; THERMAL EFFECTS;

CONTINUOUS DYNAMICAL SYSTEMS; CYCLIC PROCESS; SANDPILE AUTOMATON; SCALE-FREE BEHAVIOR;

MARTENSITE;

EID: 34547933314     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.075501     Document Type: Article

References (34)

1. E. Vives, Phys. Rev. Lett. 72, 1694 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.1694
2. L. Carrillo, Phys. Rev. Lett. 81, 1889 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.1889
3. F.J. Pérez-Reche, Phys. Rev. B PRBMDO 0163-1829 69, 064101 (2004). 10.1103/PhysRevB.69.064101
4. F.J. Pérez-Reche, E. Vives, L. Mañosa, and A. Planes, Mater. Sci. Eng. A MSAPE3 0921-5093 378, 353 (2004). 10.1016/j.msea.2003.10.360
5. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); PRLTAO 0031-9007 10.1103/PhysRevLett.59.381
6. K. Chen, P. Bak, and S.P. Obukhov, Phys. Rev. A PLRAAN 1050-2947 43, 625 (1991). 10.1103/PhysRevA.43.625
7. D. Sornette, Critical Phenomena in Natural Sciences (Springer, New York, 2000).
8. M.J. Alava, P. Nukala, and S. Zapperi, Adv. Phys. 55, 349 (2006); ADPHAH 0001-8732 10.1080/00018730300741518
9. M. Zaiser, Adv. Phys. 55, 185 (2006). ADPHAH 0001-8732 10.1080/00018730600583514
10. Martensite, edited by, G.B. Olson, and, W. Owen, (ASM International, Metals Park, OH, 1992).
11. F.J. Pérez-Reche, Phys. Rev. Lett. 93, 195701 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.195701
12. S. Miyazaki and A. Ishida, Mater. Sci. Eng. A MSAPE3 0921-5093 273-275, 106 (1999). 10.1016/S0921-5093(99)00292-0
13. J. Goicoechea and J. Ortín, Phys. Rev. Lett. 72, 2203 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.2203
14. J.P. Sethna, K.A. Dahmen, and O. Perković, The Science of Hysteresis (Elsevier, New York, 2006).
15. F.J. Pérez-Reche, E. Vives, L. Mañosa, and A. Planes, Universitat de Barcelona Technical Report No. 15, 2004.
16. S. Sreekala, R. Ahluwalia, and G. Ananthakrishna, Phys. Rev. B PRBMDO 0163-1829 70, 224105 (2004). 10.1103/PhysRevB.70.224105
17. D. Ríos-Jara and G. Guénin, Acta Metall. 35, 109 (1987). AMETAR 0001-6160 10.1016/0001-6160(87)90218-5
18. J. Pons, F.C. Lovey, and E. Cesari, Acta Metall. Mater. 38, 2733 (1990). AMATEB 0956-7151 10.1016/0956-7151(90)90287-Q
19. F.C. Lovey and V. Torra, Prog. Mater. Sci. 44, 189 (1999). PRMSAQ 0079-6425 10.1016/S0079-6425(99)00004-3
20. A. Cuniberti and R. Romero, Scr. Mater. 51, 315 (2004). SCMAF7 1359-6462 10.1016/j.scriptamat.2004.04.024
21. S. Conti and G. Zanzotto, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 173, 69 (2004). 10.1007/s00205-004-0311-z
22. J.L. Ericksen, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 73, 99 (1980); 10.1007/BF00258233
23. M. Pitteri and G. Zanzotto, Continuum Models for Phase Transitions and Twinning in Crystals (Chapman and Hall, London, 2003).
24. S.R. Shenoy, T. Lookman, and A. Saxena, in Interplay of Magnetism and Structure in Functional Materials (Springer, New York, 2006).
25. K. Bhattacharya, S. Conti, G. Zanzotto, and J. Zimmer, Nature (London) 428, 55 (2004). NATUAS 0028-0836 10.1038/nature02378
26. X. Balandraud and G. Zanzotto, J. Mech. Phys. Solids 55, 194 (2007). JMPSA8 0022-5096 10.1016/j.jmps.2006.03.009
27. G. Puglisi and L. Truskinovsky, J. Mech. Phys. Solids 53, 655 (2005). JMPSA8 0022-5096 10.1016/j.jmps.2004.08.004
28. L. Truskinovsky and A. Vainchtein, J. Mech. Phys. Solids 52, 1421 (2004). JMPSA8 0022-5096 10.1016/j.jmps.2003.09.034
29. X. Ren and L. Truskinovsky, J. Elast. JELSAY 0374-3535 59, 319 (2000). 10.1023/A:1011003321453
30. S. Zapperi, C. Castellano, F. Colaiori, and G. Durin, Nature Phys. 1, 46 (2005). 1745-2481 10.1038/nphys101
31. D.M. Dimiduk, C. Woodward, R. LeSar, and M.D. Uchic, Science 312, 1188 (2006). SCIEAS 0036-8075 10.1126/science.1123889
32. M. Koslowski, A.M. Coutiño, and M. Ortiz, J. Mech. Phys. Solids 50, 2597 (2002). JMPSA8 0022-5096 10.1016/S0022-5096(02)00037-6
33. M.C. Miguel, Nature (London) NATUAS 0028-0836 410, 667 (2001). 10.1038/35070524
34. A.C.C. Coolen, R.W. Penney, and D. Sherrington, Phys. Rev. B 48, PRBMDO 0163-1829 16116 (1993). 10.1103/PhysRevB.48.16116