| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Strain Avalanches in Microsized Single Crystals: A Theoretical Study of the Relation between the Avalanche Size and Duration |
| Xu Zhang1,2, Zhi Wang1, 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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Xu Zhang, Zhi Wang, Qian Li et al 2016 Chin. Phys. Lett. 33 096401 |
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Abstract Single crystal micropillars deform via a sequence of discrete strain avalanches, observed as displacement jumps or stress drops. Here we develop a simple crystal plasticity model to provide a quantitative expression of the relation between avalanche duration and avalanche size. It is found that the avalanche durations in scale with the averaged avalanche sizes only hold for those larger magnitudes. We show that the theoretical predictions are capable of capturing the essential aspects of scaling behaviors from micro-compression tests.
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Received: 04 May 2016
Published: 30 September 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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| [1] | Dimiduk D M, Woodward C, LeSar R and Uchic M D 2006 Science 312 1188 | | [2] | Maa? R, Derlet P M and Greer J R 2015 Small 11 341 | | [3] | Maa? R Derlet P M and Greer J R 2015 Phys. Rev. E 91 042403 | | [4] | Csikor F F, Motz C, Weygand D, Zaiser M and Zapperi S 2007 Science 318 251 | | [5] | Papanikolaou S, Dimiduk D M, Choi W, Sethna J P, Uchic M D, Woodward C and Stefano Z 2012 Nature 490 517 | | [6] | Dahmen K A, Ben-Zion Y and Uhl J T 2009 Phys. Rev. Lett. 102 175501 | | [7] | Zhang X and Shang F L 2014 Chin. Phys. Lett. 31 026401 | | [8] | Ispánovity P D, Groma I, Gy?rgyi G, Csikor F F and Weygand D 2010 Phys. Rev. Lett. 105 085503 | | [9] | Brinckmann S, Kim J Y and Greer J R 2008 Phys. Rev. Lett. 100 155502 | | [10] | 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 | | [11] | Dimiduk D M, Nadgorny E M, Woodward C, Uchic M D and Shade P A 2010 Philos. Mag. 90 3621 | | [12] | Ispánovity P D, Laurson L, Zaiser M, Groma I, Zapperi S and Alava M J 2014 Phys. Rev. Lett. 112 235501 | | [13] | Zhang X, Shang F L, Yu Y, Yan Y B and Yan S P 2014 Int. J. Solids Struct. 51 4519 | | [14] | Ovaska M L, Laurson L and Alava M J 2015 Sci. Rep-UK 5 10580 | | [15] | Uchic M D and Dimiduk D M 2005 Mater. Sci. Eng. A 400 268 | | [16] | Peirce D, Asaro R J and Needleman A 1983 Acta Met. 31 1951 | | [17] | Zhang X and Shang F L 2014 Int. J. Solids Struct. 51 1859 | | [18] | Cui Y N, Lin P, Liu Z L and Zhuang Z 2014 Int. J. Plast. 55 279 | | [19] | Norfleet D M, Dimiduk D M, Polasik S J Uchic M D and Mills M J 2008 Acta Mater. 56 2988 | | [20] | Zhang X, Pan B and Shang F L 2012 Europhys. Lett. 100 16005 | | [21] | Lin P, Liu Z L, Cui Y N and Zhuang Z 2015 Int. J. Solids Struct. 69 267 | | [22] | Ng K S and Ngan N H W 2008 Acta Mater. 56 1712 | | [23] | Papanikolaou S, Bohn F, Sommer R L, Durin G, Zapperi S and Sethna J P 2011 Nat. Phys. 7 316 | | [24] | Ispánovity P D, Groma I, Gy?rgyi G, Szabóet P and Hoffelner W 2011 Phys. Rev. Lett. 107 085506 |
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