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室温下多晶铍宏观非弹性回复的数学特征
作者:
作者单位:

1.宁夏大学宁夏光伏材料重点实验室 银川;2.西北稀有金属材料研究院特种材料国家重点实验室 石嘴山

基金项目:

西北稀有金属材料研究院稀有金属特种材料国家重点实验室开放课题基金(SKL2017K001), 宁夏自然科学(NX17037)


Mathematical characteristics of macroscopic inelastic recovery of polycrystalline beryllium at room temperature
Author:
Affiliation:

1.Ningxia Key Laboratory of Photovoltaic Materials,Ningxia University;2.China State Key Laboratory of Special Rare Metal Materials,Northwest Metal Materials Research Institute

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    摘要:

    采用循环加卸载的单轴拉伸试验,得到室温下不同延伸率的多晶铍试样的塑性变形、弹性回复变形、非弹性回复变形数据。对非弹性回复变形的数学特征进行了分析,建立相应的表达函数。结果表明:完全卸载条件下,铍非弹性回复变形与塑性变形间呈幂函数关联;非完全卸载条件下,二者关系也可用幂函数描述;幂函数所有两个参数与卸载应力水平呈二次函数关系,两个参数间也线性相关;在同一卸载周期内,非弹性回复变形与塑性变形间呈二次函数关系,其中至少两个函数参数表现出超越具体试样的普适性数学特征;弹性模量(或可能延伸率)与各数学模型参数变化趋势的关联明显。

    Abstract:

    With the uniaxial cyclic loading/unloading test at room temperature, data of the plastic deformation, elastic recovery deformation and inelastic recovery deformation of polycrystalline beryllium samples with different elongation was obtained. Investigation on mathematical characteristics of the inelastic recovery was carried out, and corresponding expression functions were obtained. The result indicates that: after completely unloading, the relationship between inelastic recovery strain and plastic strain of beryllium can be described by the power function; even being incomplete unloading, their relationship can also be described by the power function; all the two function parameters are related to the unloading stress level in analytic form with the square polynomials,and the linear correlativity is presented between the two parameters;in the same unloading cycle, the relationship between inelastic recovery strain and plastic strain can be described by the square polynomials, at least two function parameters show the universal mathematical characteristics beyond specific samples; the modulus of elasticity (also maybe the elongation) is closely relevant to trends of change of all mathematical model parameters..

    参考文献
    [1] Marder J M. Production of beryllium powder [M], Metal Handbook, vol 7: Powder Metallurgy [M], American Society for Metals, Park, Ohio, 1984,7: 169
    [2] Stonehouse A J. Physics and chemistry of beryllium [J]. Journal of Vacuum Science Technology A Vacuum Surfaces Films, 1986, 4(3): 1163~1170
    [3] Wang Yongyue(王永跃). Application development of beryllium in high technology [J]. Rare Metal Materials and Engineering, 1995(6): 29~31
    [4] Tikhinskij G F, Stoev P I, Papirov I I, etal. New beryllium materials [J]. Journal of Nuclear Materials, 1996, 233/237(2): 828~831
    [5] Zhang Youshou(张友寿), Qin Youjun(秦有钧), Wu Dongzhou(吴东周),et al. Properties and applications of beryllium and beryllium containing materials [J]. Transactions of The China Welding Institution , 2001, 22(6): 92~96
    [6] Boland M A. Beryllium--important for national defense [J]. Center for Integrated Data Analytics Wisconsin Science Center, 2012: 3056
    [7] Xu Demei(许德美), Qin Gaowu(秦高梧), Li Feng(李峰),et al. Advances in beryllium and beryllium-containing materials [J]. The Chinese Journal of Nonferrous Metals, 2014(5): 1212~1223
    [8] Brown N, Jr K F L. Microstrain in polycrystalline metals [J]. ACTA Metallurgica, 1961, 9(2):106~111
    [9] Bonfield W, Li C H. Dislocation configurations and the microstrain of polycrystalline beryllium [J]. ACTA Metallurgica, 1963, 11: 585~590
    [10] Bonfield W, Li C H. A transition in the microstrain characteristics of beryllium [J]. ACTA Metallurgica, 1964, 12: 577~583
    [11] Walters GP, Walt C M V D , Makin M J. The observation and analysis of slip dislocations and prismatic loops in beryllium [J]. Journal of Nuclear Materials 11, 1964, 3: 335~340
    [12] Bonfield W, Li C H. The friction stress and initial micro-yielding of beryllium [J]. Acta Metallurgica, 1965, 13(3):317~323
    [13] Lawley A, Breedis J F, Meakin J D. The microstrain behavior of beryllium single crystals [J]. Acta Metallurgica, 1966, 14(10):1339~1347
    [14] Plane D C, Bonfield W. Microplasticity in hot-pressed beryllium [A]. Beryllium 1977: 4th Inter. Conf., on Beryllium[C]. London, the Royal Society, 1977: 14
    [15] Zhong Jingming(钟景明). Research on behavior and mechanism of microplasticity of metal beryllium(金属铍的微屈服行为及机理研究) [D]. Central South University, Changsha, 2001
    [16] Granato A, Lücke K. Theory of mechanical damping due to dislocations [J], Journal of applied physics, 1956, 27(6): 583~593
    [17] Feng Duan(冯端). Metal physics (Vol. 3)( 金属物理学 第三卷) [M]. Beijing: Science Press, 1999: 107
    [18] Yu Haiyan(余海燕), Chen Siji(陈思吉), He Zezhen(何泽珍). Study on inelastic recovery behavior of magnesium alloy sheets [J]. Journal of Plasticity Engineering, 2017,24(4): 1~5
    [19] Yu Haiyan(余海燕), Bao Li. Flow stress model considering the transformation-induced plasticity effect and the inelastic strain recovery behavior [J]. International Journal of Minerals, Metallurgy and Materials, 2011, 18(2): 185
    [20] Zhuang Jingbiao(庄京彪), Liu Dihui(刘迪辉), Li Guangyao(李光耀). Analysis of springback simulation based on bauschinger effect [J]. Journal of Mechanical Engineering, 2013, 49(22): 84~90
    [21] Xu Hong(徐虹), Liu Yanan(刘亚楠), Yu Ting(于婷), et al. Inelastic recovery behavior and microscopic mechanism of high strength DP780 steel during cyclic loading-unloading [J]. Journal of Jilin University (Engineering and Technology Edition), 2017, 47(1): 191~198
    [22] Cleveland R M, Ghosh A K. Inelastic effects on springback in metals. International Journal of Plasticity, 2002, 18: 769
    [23] Lemaitre J, Desmorat R. Engineering damage mechanics [M]. Springer-Verlag, Berlin Heidelberg, 2005: 1
    [24] Yu Shouwen(余寿文). Damage mechanics(损伤力学) [M]. Beijing: Tsinghua university press, 1997: 1
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何力军,房辉,李美岁,马宏昌,陈磊,张健康,许德美,钟景明.室温下多晶铍宏观非弹性回复的数学特征[J].稀有金属材料与工程,2019,48(12):3954~3960.[He Lijun, Fang Hui, Li Meisui, MaHongchang, Chen Lei, Zhang Jiankang, Xu Demei, Zhong Jingming. Mathematical characteristics of macroscopic inelastic recovery of polycrystalline beryllium at room temperature[J]. Rare Metal Materials and Engineering,2019,48(12):3954~3960.]
DOI:10.12442/j. issn.1002-185X.20180929

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  • 收稿日期:2018-09-06
  • 最后修改日期:2018-10-20
  • 录用日期:2018-11-08
  • 在线发布日期: 2020-01-07