Preliminary Time Series Analysis of Serrated Yielding in Al-4%Cu Alloy
Lu Junyong; Jiang Zhenyu; Zhang Qingchuan
中国科大力学与机械工程系
Cite this article:
Lu Junyong; Jiang Zhenyu; Zhang Qingchuan. Preliminary Time Series Analysis of Serrated Yielding in Al-4%Cu Alloy. Acta Metall Sin, 2006, 42(6): 611-618 .
Abstract A systematic statistical analysis of the characteristics of the
Portevin-Le Chartelier (PLC) effect in Al-4%Cu alloy, including the
stress drop amplitude and the reloading time, etc., is carried out.
The drop duration is found to be a constant independent of the strain.
The average stress drop amplitude and the average reloading time of 1
and 2 mm thick samples increase with strain linearly, while the cases of
3 mm thick samples are much more complicated. The evidence of self--organized
criticality is demonstrated, and the nonlinear mechanism in the PLC effect
is also explained by comparing with the classic sand--pile model,
and by combining with the dynamic strain aging (DSA) principle and the
dislocation dynamics.
[1] Portevin A, Le Chatelier F. Compt Rend Academie Sci, 1923; 176: 507 [2] Bian X F. Spec Cast Nonferrous Alloys, 2004; 6: 43 (边秀房．特种铸造及有色合金, 2004;6:43) [3] Cottrell A H. Dislocations and Plastic Flow in Crystals. London: Oxford University Press, 1953: 134 [4] Tian B H, Li H X, Zhang Y G, Chen C Q. Acta Metall Sin, 1997; 33: 577 (田宝辉,李焕喜,张永刚,陈昌麒．金属学报,1997;33:577) [5] Jiang H F, Zhang Q C, Xu Y H, Wu X P. Acta Metall Sin, 2006; 42: 139 (江慧丰,张青川,徐毅豪,伍小平．金属学报,2006;42:139) [6] Pink E, Grinberg A. Acta Metall, 1982; 30: 2153 [7] Hayes R W, Hayes W C. Acta Metall, 1982; 30: 1295 [8] Pink E, Weberning W M. Acta Metall, 1987; 35: 127 [9] Chihab K, Estrin Y, Kubin L P, Vergnol J. Scr Metall, 1987; 21: 203 [10] Lebyodkin M, Brechet Y, Estrin Y, Kubin L P. Phys Rev Lett, 1995; 74: 4758 [11] Lebyodkin M, Brechet Y, Estrin Y Kubin L P. Acta Mater, 1996; 44: 4531 [12] Lebyodkin M, DuninBarskowskii L, Brechet Y, Kubin L P, Estrin Y. Acta Mater, 2000; 48: 2529 [13] Bharathi M S, Lebyodkin M, Ananthakrishna G, Fressen- geas C, Kubin L P. Acta Mater, 2002; 50: 2813 [14] Ananthakrishna G, Noronha S J, Fressengeas C, Kubin L P. Phys Rev, 1999; 60E: 5455 [15] Zhang Q C, Toyooka S, Meng Z B, Suprapedi-. In: Baak-lini G Y, Nove C A, Boltz E S, eds., Nondestructure Evaluation of Aging Materials and Composites III, Vol.3585, Newport Beach, California, SPIE, 1999: 389 [16] Zhang Q C, Wu X P. In: Shen G X, Cha S S, Chiang F P, Mercer C R, eds., Optical Technology and Image Processing for Fluids and Solids Diagnostics 2002, Vol.5058, Washington, SPIE, 2003: 257 [17] Zhang Q C, Jiang Z Y, Jiang H F, Chen Z J, Wu X P. Ait J Plast, 2005; 21: 2150 [18] Jiang Z Y, Zhang Q C, Wu X P. In: Shen G X, Cha S S, Chiang F P, Mercer C R, eds., Optical Technology and Image Processing for Fluids and Solids Diagnostics 2002, Vol.5058, Washington, SPIE, 2003: 283 [19] Jiang H F, Zhang Q C, Jiang Z Y, Wu X P. Acta Metall Sin, 2005; 41: 727 (江慧丰,张青川,蒋震宇,伍小平．金属学报,2005;41:727) [20] Jiang Z Y, Zhang Q C, Wu X P. J Exp Mech, 2003; 18: 289 (蒋震宇,张青川,伍小平．实验力学,2003;18:289) [21] Jiang Z Y, Zhang Q C, Jiang H F, Chen Z J, Wu X P. Mater Set Eng, 2005; A403: 154 [22] Jiang H F, Zhang Q C, Jiang Z Y, Zhao S M, Chen Z J, Wu X P. J Exp Mech, 2004; 19: 430 (江慧丰,张青川,蒋震宇,赵思敏,陈忠家,伍小平．实验力 学,2004;19:430) [23] Chen Z J, Zhang Q C, Jiang Z Y, Jiang H F, Wu X P. J Mater Sci Technol, 2004; 20: 535 [24] Chen Z J, Zhang Q C, Wu X P. Europhys Lett, 2005; 71: 235 [25] Zhang Q C, Wu X P. In: Wu X P, Qin Y W, Fang J, Ke J T, eds., 3rd Int Conf on Experimental Mechanics, Vol.4537, Beijing, SPIE, 2002: 69 [26] Bharathi M S, Lebyodkin M, Ananthakrishna G, Fressen- geas C, Kubin L P. Phys Rev Lett, 2001; 87: 165508 [27] Ranc N, Wagner D. Mater Sci Eng, 2005; A394: 87 [28] McCormick P G, Venkadesan S, Ling C P. Scr Metall Mater, 1993; 29: 1159 van den Brink S H, van den Beukel A, McCormick P G. Phys Status Solidi, 1977; 41a: 513 [29] Bak P, Tang C, Wiesenfeld K. Phys Rev Lett, 1987; 59: 364 [30] Jensen H J, Goddard P, Yeomans J. Self-Organized Crit-icality: Emergent Complex Behavior in Physical and Biological Systems (Cambridge Lecture Notes in Physics) Cambridge, UK: Cambridge University Press, 1998: 13 [31] Diodata P, Marchesoni F. Phys Rev Lett, 1991; 67: 2239 [32] Babcock L, Westervelt R M. Phys Rev Lett, 1990; 64: 2168 [33] Yuan J, Ren Y, Shan X M. Phys Rev, 2000; 61E: 1067 [34] Per Bak, Kan Chen, Creutz M. Nature, 1989; 342: 780 [35] Elmer F-J. Phys Rev, 1997; 56E: R6225 [36] Boettcher S, Percus A G. Phys Rev Lett, 2001; 86: 5211 [37] Aegerter C M. Phys Rev, 1998; 58E: 1438 [38] Zhou T, Wang B H. Chin Phys Lett, 2005; 22: 1072 [39] Bianconi G, Marsili M. arxiv.org/abs/cond-mat 103125- 37, 2003 [40] Tong P Q. J Nanjing Normal Univ (Nat Sci), 1994; 17: 26 (童培庆．南京师范大学学报(自然科学版),1994;17:26) [41] Lu J H, Lu J A, Chen S H. Chaotic Time Series Analysis and Its Applications. Wuhan: Wuhan University Press, 2002: 46 (吕金虎,陆君安,陈士华．混沌时间序列分析及其应用．武汉: 武汉大学出版社,2002:46)
GE Yunlong;YANG Yuansheng;JIAO Yuning;HU Zhuangqi;GAO Yunyan;JIA Guanglin Institute of Metal Research; Academia Sinica; Shenyang Northeast University of Technology; Shenyang associate professor;Institute of Metal Research;Academia Sinica;Shenyang 110015. NEW TECHNIQUE-ELECTROMAGNETIC CENTRIFUGAL CASTING PROCESS[J]. 金属学报, 1993, 29(3): 88-89.
