CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Strain Avalanches in Microsized Single Crystals: Avalanche Size Predicted by a Continuum Crystal Plasticity Model |
Xu Zhang1,2**, Xiang-Cheng Zhang1, Qian Li1, Fu-Lin Shang2 |
1National Center for International Joint Research of Micro-nano Moulding Technology, School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001 2State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049
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Cite this article: |
Xu Zhang, Xiang-Cheng Zhang, Qian Li et al 2016 Chin. Phys. Lett. 33 106401 |
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Abstract Plastic deformation of small crystals occurs by power-law distributed strain avalanches whose universality is still debated. In this work we introduce a continuum crystal plasticity model for the deformation of microsized single crystals, which is able to reproduce the main experimental observations such as flow intermittency and statistics of strain avalanches. We report exact predictions for scaling exponents and scaling functions associated with random distribution of avalanche sizes. In this way, the developed model provides a routine for a quantitative characterization of the statistical aspects of strain avalanches in microsized single crystals.
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Received: 04 July 2016
Published: 27 October 2016
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PACS: |
64.60.av
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(Cracks, sandpiles, avalanches, and earthquakes)
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62.20.fq
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(Plasticity and superplasticity)
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62.20.F-
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(Deformation and plasticity)
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Fund: Supported by the China Postdoctoral Science Foundation under Grant No 2015M572118, the Outstanding Young Talent Research Fund of Zhengzhou University under Grant No 1521327001, and the National Natural Science Foundation of China under Grant No 51405452. |
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[1] | Friedman N, Jennings A T, Tsekenis G, Kim J K, Tao M, Uhl J T, Greer J R and Dahmen K A 2012 Phys. Rev. Lett. 109 095507 | [2] | Uchic M D and Dimiduk D M 2005 Mater. Sci. Eng. A 400 268 | [3] | Maa? R, Derlet P M and Greer J R 2015 Small 11 341 | [4] | Wang Z J, Li Q J, Shan Z W, Li J, Sun J and Ma E 2012 Appl. Phys. Lett. 100 071906 | [5] | Maa? R, Derlet P M and Greer J R 2015 Phys. Rev. E 91 042403 | [6] | Dahmen K A, Ben-Zion Y and Uhl J T 2009 Phys. Rev. Lett. 102 175501 | [7] | Ispánovity P D, Laurson L, Zaiser M, Groma I, Zapperi S and Alava M J 2014 Phys. Rev. Lett. 112 235501 | [8] | Weiss J, Rhouma W B, Richeton T, Dechanel S, Louchet F and Truskinovsky L 2015 Phys. Rev. Lett. 114 105504 | [9] | Papanikolaou S, Dimiduk D M, Choi W, Sethna J P, Uchic M D, Woodward C and Stefano Z 2012 Nature 490 517 | [10] | Budrikis Z, Fernandez-Castellanos D, Sandfeld S, Zaiser M and Zapperi S 2015 arXiv:1511.06229 | [11] | Salman O U and Truskinovsky L 2011 Phys. Rev. Lett. 106 175503 | [12] | Koslowski M, LeSar R and Thomson R 2004 Phys. Rev. Lett. 93 125502 | [13] | Csikor F F, Motz C, Weygand D, Zaiser M and Zapperi S 2007 Science 318 251 | [14] | Cui Y N, Liu Z L and Zhuang Z 2013 Chin. Phys. Lett. 30 046103 | [15] | Husser E, Lilleodden E and Bargmann S 2014 Acta Mater. 71 206 | [16] | Zhang X and Shang F L 2014 Int. J. Solids Struct. 51 1859 | [17] | Liu Z L, Liu X M, Zhuang Z and You X C 2009 Int. J. Plast. 25 1436 | [18] | Zhang X and Shang F L 2014 Chin. Phys. Lett. 31 026401 | [19] | Lin P, Liu Z L, Cui Y N and Zhuang Z 2015 Int. J. Solids Struct. 69 267 | [20] | Ispánovity P D, Groma I, Gy?rgyi G, Csikor F F and Weygand D 2010 Phys. Rev. Lett. 105 085503 | [21] | Zhang X, Shang F L, Yu Y, Yan Y B and Yan S P 2014 Int. J. Solids Struct. 51 4519 | [22] | Cui Y N, Lin P, Liu Z L and Zhuang Z 2014 Int. J. Plast. 55 279 | [23] | Norfleet D M, Dimiduk D M, Polasik S J, Uchic M D and Mills M J 2008 Acta Mater. 56 2988 | [24] | Peirce D, Asaro R J and Needleman A 1983 Acta Mater. 31 1951 | [25] | Dimiduk D M, Woodward C, LeSar R and Uchic M D 2006 Science 312 1188 | [26] | Brinckmann S, Kim J Y and Greer J R 2008 Phys. Rev. Lett. 100 155502 | [27] | Zhang X, Pan B and Shang F L 2012 Europhys. Lett. 100 16005 | [28] | Shade P A, Uchic M D, Dimiduk D M, Viswanathan G B, Wheeler R and Fraser H L 2012 Mater. Sci. Eng. A 535 53 |
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