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Crackling noise in plasticity

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Abstract

Plastic deformation is a paradigmatic problem of multiscale materials modelling with relevant processes ranging from the atomistic scale up to macroscopic scales where deformation is treated by continuum mechanics. Recent experiments, investigating deformation fluctuations under conditions where plastic deformation was expected to occur in a smooth and stable manner, demonstrate that deformation is spatially heterogeneous and temporally intermittent, not only on atomic scales, where spatial heterogeneity is expected, but also on mesoscopic scales where plastic fluctuations involve collective events of widely different amplitudes. Evidence for crackling noise in plastic deformation comes from acoustic emission measurements and from deformation of micron-scale samples both in crystalline and amorphous materials. Here we provide a detailed account of our current understanding of crackling noise in crystal and amorphous plasticity stemming from experiments, computational models and scaling theories. We focus our attention on the scaling properties of plastic strain bursts and their interpretation in terms of non-equilibrium critical phenomena.

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References

  1. M.C. Miguel, A. Vespignani, S. Zapperi, J. Weiss, J.R. Grasso, Nature 410, 667 (2001)

    Article  ADS  Google Scholar 

  2. J. Weiss, J.R. Grasso, M. Miguel, A. Vespignani, S. Zapperi, et al., Mater. Sci. Eng. A 309, 360 (2001)

    Article  Google Scholar 

  3. D.M. Dimiduk, C. Woodward, R. LeSar, M.D. Uchic, Science 312, 1188 (2006)

    Article  ADS  Google Scholar 

  4. J. Weiss, D. Marsan, Science 299, 89 (2003)

    Article  ADS  Google Scholar 

  5. J. Weiss, T. Richeton, F. Louchet, F. Chmelik, P. Dobron, D. Entemeyer, M. Lebyodkin, T. Lebedkina, C. Fressengeas, R.J. McDonald, Phys. Rev. B 76, 224110 (2007)

    Article  ADS  Google Scholar 

  6. M.D. Uchic, D.M. Dimiduk, J.N. Florando, W.D. Nix, Science 305, 986 (2004)

    Article  ADS  Google Scholar 

  7. M.D. Uchic, D.M. Dimiduk, Mater. Sci. Eng. A 400, 268 (2005)

    Article  Google Scholar 

  8. D. Dimiduk, M. Uchic, T. Parthasarathy, Acta Mater. 53, 4065 (2005)

    Article  Google Scholar 

  9. S. Brinckmann, J.Y. Kim, J.R. Greer, Phys. Rev. Lett. 100, 155502 (2008)

    Article  ADS  Google Scholar 

  10. N. Friedman, A.T. Jennings, G. Tsekenis, J.Y. Kim, M. Tao, J.T. Uhl, J.R. Greer, K.A. Dahmen, Phys. Rev. Lett. 109, 095507 (2012)

    Article  ADS  Google Scholar 

  11. Z.W. Shan, J. Li, Y.Q. Cheng, A.M. Minor, S.S.A. Asif, O.L. Warren, E. Ma, Phys. Rev. B (Cond. Matter Mater. Phys.) 77 (2008)

  12. G. Wang, K. Chan, L. Xia, P. Yu, J. Shen, W. Wang, Acta Mater. 57, 6146 (2009)

    Article  Google Scholar 

  13. J. Antonaglia, W.J. Wright, X. Gu, R.R. Byer, T.C. Hufnagel, M. LeBlanc, J.T. Uhl, K.A. Dahmen, Phys. Rev. Lett. 112, 155501 (2014)

    Article  ADS  Google Scholar 

  14. A.N.B. Poliakov, H.J. Herrmann, Geophys. Res. Lett. 21, 2143 (1994)

    Article  ADS  Google Scholar 

  15. A.N.B. Poliakov, H.J. Herrmann, Y.Y. Podladchikov, S. Roux, Fractals 2, 567 (1994)

    Article  MATH  Google Scholar 

  16. H.J. Tillemans, H.J. Herrmann, Phys. A: Stat. Mech. Appl. 217, 261 (1995)

    Article  Google Scholar 

  17. J.P. Sethna, K.A. Dahmen, C.R. Myers, Nature 410, 242 (2001)

    Article  ADS  Google Scholar 

  18. L. Laurson, M. Alava, Phys. Rev. E 74, 066106 (2006)

    Article  ADS  Google Scholar 

  19. L. Laurson, M.J. Alava, S. Zapperi, J. Stat. Mech.: Theory Exper. 2005, L11001 (2005)

    Article  MathSciNet  Google Scholar 

  20. M.C. Kuntz, J.P. Sethna, Phys. Rev. B 62, 11699 (2000)

    Article  ADS  Google Scholar 

  21. D.S. Fisher, Phys. Reports 301, 113 (1998)

    Article  ADS  Google Scholar 

  22. M. Zaiser, Adv. Phys. 55, 185 (2006)

    Article  ADS  Google Scholar 

  23. J. Weiss, W. Ben Rhouma, T. Richeton, S. Dechanel, F. Louchet, L. Truskinovsky (preprint) (2014)

  24. J. Weiss, M. Miguel, Mater. Sci. Eng. A 387-389, 292 (2004)

    Article  Google Scholar 

  25. T. Richeton, P. Dobron, F. Chmelik, J. Weiss, F. Louchet, Mater. Sci. Eng. A 424, 190 (2006)

    Article  Google Scholar 

  26. M. Lebyodkin, V. Shashkov, T. Lebedkina, K. Mathis, P. Dobron, F. Chmelik, Phys. Rev. E 88, 042402 (2013)

    Article  ADS  Google Scholar 

  27. A. Vinogradov, I.S. Yasnikov, Acta Mater. 70, 8 (2014)

    Article  Google Scholar 

  28. T. Richeton, J. Weiss, F. Louchet, Acta Mater. 53(16), 4463 (2005)

    Article  Google Scholar 

  29. V. Taupin, R.T.J. Chevy, C. Fressengeas, J. Weiss, F. Louchet, M. Miguel, Acta Mater. 58, 1555 (2008)

    Article  Google Scholar 

  30. T. Richeton, J. Weiss, F. Louchet, Nat. Mater. 4, 465 (2005)

    Article  ADS  Google Scholar 

  31. J. Kumar, G. Ananthakrishna, Phys. Rev. Lett. 106, 106001 (2011)

    Article  ADS  Google Scholar 

  32. M. Zaiser, J. Schwerdtfeger, A. Schneider, C. Frick, B.G. Clark, P. Gruber, E. Arzt, Philosoph. Mag. 88, 3861 (2008)

    Article  ADS  Google Scholar 

  33. F.F. Csikor, C. Motz, D. Weygand, M. Zaiser, S. Zapperi, Science 318, 251 (2007)

    Article  ADS  Google Scholar 

  34. X. Zhang, B. Pan, F. Shang, Europhys. Lett. 100, 16005 (2012)

    Article  Google Scholar 

  35. G. Durin, S. Zapperi, J. Stat. Mech.: Theory Exper. 2006, P01002 (2006)

    Article  Google Scholar 

  36. P. Bak, C. Tang, K. Wiesenfeld, et al., Phys. Rev. Lett. 59, 381 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  37. S. Papanikolaou, D.M. Dimiduk, W. Choi, J.P. Sethna, M.D. Uchic, C.F. Woodward, S. Zapperi, Nature 490, 517 (2012)

    Article  ADS  Google Scholar 

  38. M. Koslowski, R. LeSar, R. Thomson, Phys. Rev. Lett. 93, 125502 (2004)

    Article  ADS  Google Scholar 

  39. M. Zaiser, P. Moretti, J. Stat. Mech.: Theory Exper. 2005, P08004 (2005)

    Article  Google Scholar 

  40. M. Miguel, A. Vespignani, S. Zapperi, J. Weiss, J.R. Grasso, et al., Mater. Sci. Eng. A 309, 324 (2001)

    Article  Google Scholar 

  41. P.D. Ispánovity, I. Groma, G. Györgyi, P. Szabó, W. Hoffelner, Phys. Rev. Lett. 107, 085506 (2011)

    Article  ADS  Google Scholar 

  42. M. Zaiser, B. Marmo, P. Moretti, The “yielding transition” in crystal plasticity–discrete dislocations and continuum models, in Proceedings of the International Conference on Statistical Mechanics of Plasticity and Related Instabilities (2005)

  43. K.A. Dahmen, Y. Ben-Zion, J.T. Uhl, Phys. Rev. Lett. 102, 175501 (2009)

    Article  ADS  Google Scholar 

  44. G. Tsekenis, J.T. Uhl, N. Goldenfeld, K.A. Dahmen, EPL (Europhys. Lett.) 101, 36003 (2013)

    Article  ADS  Google Scholar 

  45. P.D. Ispánovity, L. Laurson, M. Zaiser, I. Groma, S. Zapperi, M.J. Alava, Phys. Rev. Lett. 112, 235501 (2014)

    Article  ADS  Google Scholar 

  46. L. Laurson, M.J. Alava, Phys. Rev. Lett. 109, 155504 (2012)

    Article  ADS  Google Scholar 

  47. M.C. Miguel, A. Vespignani, M. Zaiser, S. Zapperi, Phys. Rev. Lett. 89, 165501 (2002)

    Article  ADS  Google Scholar 

  48. J. Rosti, J. Koivisto, L. Laurson, M.J. Alava, Phys. Rev. Lett. 105, 100601 (2010)

    Article  ADS  Google Scholar 

  49. L. Laurson, J. Rosti, J. Koivisto, A. Miksic, M.J. Alava, J. Stat. Mech.: Theory Exper. 2011, P07002 (2011)

    Article  Google Scholar 

  50. A.J. Liu, S.R. Nagel, Nature 396, 21 (1998)

    Article  ADS  Google Scholar 

  51. L. Laurson, M.C. Miguel, M.J. Alava, Phys. Rev. Lett. 105, 015501 (2010)

    Article  ADS  Google Scholar 

  52. M. Ovaska, L. Laurson, M.J. Alava, arXiv preprint [arXiv:1401.6315] (2014)

  53. C. Maloney, A. Lemaître, Phys. Rev. Lett. 93, 016001 (2004)

    Article  ADS  Google Scholar 

  54. M.J. Demkowicz, A.S. Argon, Phys. Rev. B 72, 245206 (2005)

    Article  ADS  Google Scholar 

  55. C.E. Maloney, A. Lemaître, Phys. Rev. E 74, 016118 (2006)

    Article  ADS  Google Scholar 

  56. N.P. Bailey, J. Schiøtz, A. Lemaître, K.W. Jacobsen, Phys. Rev. Lett. 98, 095501 (2007)

    Article  ADS  Google Scholar 

  57. C.E. Maloney, M.O. Robbins, Phys. Rev. Lett. 102, 225502 (2009)

    Article  ADS  Google Scholar 

  58. K.M. Salerno, C.E. Maloney, M.O. Robbins, Phys. Rev. Lett. 109, 105703 (2012)

    Article  ADS  Google Scholar 

  59. M.L. Falk, J.S. Langer, Phys. Rev. E 57, 7192 (1998)

    Article  ADS  Google Scholar 

  60. J.C. Baret, D. Vandembroucq, S. Roux, Phys. Rev. Lett. 89, 195506 (2002)

    Article  ADS  Google Scholar 

  61. M. Talamali, V. Petäjä, D. Vandembroucq, S. Roux, Phys. Rev. E 84, 016115 (2011)

    Article  ADS  Google Scholar 

  62. Z. Budrikis, S. Zapperi, Phys. Rev. E 88, 062403 (2013)

    Article  ADS  Google Scholar 

  63. J. Lin, A. Saade, E. Lerner, A. Rosso, M. Wyart, EPL (Europhys. Lett.) 105, 26003 (2014)

    Article  ADS  Google Scholar 

  64. S. Roux, A. Hansen, J. Phys. II (France) 2(5), 1007 (1992)

    Article  Google Scholar 

  65. C.B. Picallo, J.M. López, S. Zapperi, M.J. Alava, Phys. Rev. Lett. 103, 225502 (2009)

    Article  ADS  Google Scholar 

  66. C.B. Picallo, J.M. López, S. Zapperi, M.J. Alava, Phys. Rev. Lett. 105, 155502 (2010)

    Article  ADS  Google Scholar 

  67. S. Kale, M. Ostoja-Starzewski, Phys. Rev. Lett. 112, 045503 (2014)

    Article  ADS  Google Scholar 

  68. S. Sandfeld, M. Zaiser, J. Stat. Mech.: Theory Exper., P03014 (2014)

  69. H. Ait-Amokhtar, S. Boudrahem, C. Fressengeas, Scr. Mater. 54, 2113 (2006)

    Article  Google Scholar 

  70. A. Chatterjee, A. Sarkar, P. Barat, P. Mukherjee, N. Gayathri, Mater. Sci. Eng. A 508, 156 (2009)

    Article  Google Scholar 

  71. H. Ait-Amokhtar, C. Fressengeas, Acta Mater. 58, 1342 (2012)

    Article  Google Scholar 

  72. G. Ananthakrishna, Phys. Reports 440, 1139 (2007)

    Article  MathSciNet  Google Scholar 

  73. A. Yilmaz, Sci. Technol. Adv. Mater. 12, 063001 (2011)

    Article  Google Scholar 

  74. E. Rizzi, P. Hähner, Int. J. Plast. 20, 121 (2004)

    Article  MATH  Google Scholar 

  75. M. Bharath, M. Lebyodkina, G. Ananthakrishna, C. Fressengeas, L. Kubin, Acta Mater. 50, 2813 (2002)

    Article  Google Scholar 

  76. M. Lebyodkin, Y. Estrin, Acta Mater. 53, 3403 (2005)

    Article  Google Scholar 

  77. T. Lebedkina, M. Lebyodkin, Acta Mater. 56, 5567 (2008)

    Article  Google Scholar 

  78. R.N. Mudrock, M.A. Lebyodkin, P. Kurath, A.J. Beaudoin, T.A. Lebedkina, Scr. Mater. 65(12), 1093 (2011)

    Article  Google Scholar 

  79. S. Zhang, P. McCormick, Y. Estrin, Acta Mater. 49, 1087 (2001)

    Article  Google Scholar 

  80. H. Jiang, Q. Zhang, X. Chen, Z. Chen, Z. Jiang, X. Wu, J. Fan, Acta Mater. 55, 2219 (2007)

    Article  Google Scholar 

  81. L. Casarotto, H. Dierkeb, R. Tutscha, H. Neuhäuser, Mater. Sci. Eng. A 527, 132 (2009)

    Article  Google Scholar 

  82. H. Wang, C. Berdin, M. Maziere, S. Forest, C. Prioul, A. Parrot, P. Le-Delliou, Mater. Sci. Eng. A 547, 19 (2012)

    Article  Google Scholar 

  83. P. Manach, S. Thuillier, J. Yoon, J. Coër, H. Laurent, Int. J. Plast. (2014)

  84. N. Ranc, D. Wagner, Mater. Sci. Eng. A 394, 87 (2005)

    Article  Google Scholar 

  85. F. Chmelika, A. Ziegenbein, H. Neuhäuser, P. Lukac, Mater. Sci. Eng. A 324, 200 (2002)

    Article  Google Scholar 

  86. M. Lebyodkin, T. Lebedkina, F. Chmelik, T. Lamark, Y. Estrin, C. Fressengeas, J. Weiss, Phys. Rev. E 79, 174114 (2009)

    Article  ADS  Google Scholar 

  87. M. Lebyodkin, N. Kobelev, Y. Bougherira, D. Entemeyer, C. Fressengeas, V. Gornakov, T. Lebedkina, I. Shashkov, Acta Mater. 60, 3729 (2012)

    Article  Google Scholar 

  88. I. Shashkov, M. Lebyodkin, T. Lebedkina, Acta Mater. 60, 6842 (2012)

    Article  Google Scholar 

  89. A. Vinogradov, A. Lazareva, Scr. Mater. 66, 745 (2012)

    Article  Google Scholar 

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Authors and Affiliations

  1. COMP Centre of Excellence, Department of Applied Physics, Aalto University, PO Box 11100, 00076, Aalto, Espoo, Finland

    Mikko J. Alava & Lasse Laurson

  2. CNR – Consiglio Nazionale delle Ricerche, IENI, via R. Cozzi 53, 20125, Milano, Italy

    Stefano Zapperi

  3. ISI Foundation, via Alassio 11/c, 10126, Torino, Italy

    Stefano Zapperi

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  1. Mikko J. Alava
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  2. Lasse Laurson
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  3. Stefano Zapperi
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Correspondence to Stefano Zapperi.

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Alava, M., Laurson, L. & Zapperi, S. Crackling noise in plasticity. Eur. Phys. J. Spec. Top. 223, 2353–2367 (2014). https://doi.org/10.1140/epjst/e2014-02269-8

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