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The relationship among dynamic relaxation, deformation and microstructural heterogeneity of amorphous alloy is one of the important research contents in the field of amorphous physics. In this paper, we utilize Zr48(Cu5/6Ag1/6)44Al8 bulk amorphous alloy with excellent glass forming capability and good thermal stability as a research carrier, and investigate the effects of temperature and structural relaxation on dynamic relaxation and deformation behavior through dynamic mechanical analysis and stress relaxation experiments. The results show that the dynamic relaxation spectrum of the model alloy is sensitive to temperature, showing four stages as the temperature increases, namely, iso configuration, aging, glass transition and crystallization. Based on the isothermal measurement of dynamic mechanical parameters under the glass transition temperature, the structural relaxation causes the amorphous alloy to migrate from the non-equilibrium high energy state to the low energy state, and the evolution of internal friction with aging time can be described by Kohlrausch-Williams-Watts (KWW) stretched exponential function. In addition, based on the KWW equation and activation energy spectrum, the activation of heterogeneous structure in the stress relaxation process of model alloy is analyzed, which involves the transformation from elastic deformation to nonelastic deformation. Owing to the microstructural heterogeneity and energy fluctuations in amorphous alloys, the activation of deformation units is not a single characteristic time, but follows a certain distribution. By considering that the characteristic time distribution of activation of deformation units is symmetric Gauss distribution or asymmetric Gumbel distribution on a logarithmic time scale, the heterogeneous activation process in stress relaxation response can be reconstructed.
[1] Suryanarayana C, Inoue A 2017 Bulk Metallic Glasses (Boca Raton: CRC Press) pp465–503
[2] 汪卫华 2013 物理学进展 33 177
Wang W H 2013 Prog. Phys. 33 177
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[4] Inoue A, Takeuchi A 2011 Acta Mater. 59 2243
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[5] Khmich A, Hassani A, Sbiaai K, Hasnaoui A 2021 Int. J. Mech. Sci. 204 106546
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Cao Q P, Lü L B, Wang X D, Z J J 2021 Acta. Metall. Sin. 57 473
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[7] 李宁, 黄信 2021 金属学报 57 529
Google Scholar
Li N, Huang X 2021 Acta. Metall. Sin. 57 529
Google Scholar
[8] 毕甲紫, 刘晓斌, 李然, 张涛 2021 金属学报 57 559
Google Scholar
Bi J Z, Liu X B, Li R, Z T 2021 Acta. Metall. Sin. 57 559
Google Scholar
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图 1 Zr48(Cu5/6Ag1/6)44Al8在3 K/min升温速率下DSC曲线
Figure 1. DSC curve of Zr48(Cu5/6Ag1/6)44Al8 metallic glass with a heating rate of 3 K/min.
图 2 Zr48(Cu5/6Ag1/6)44Al8块体非晶合金归一化储能模量E'/Eμ和损耗模量E''/Eμ温度演化曲线
Figure 2. Temperature evolution curve of the normalized storage modulus of Zr48(Cu5/6Ag1/6)44Al8 metallic glass E'/Eμ and loss modulus E''/Eμ of bulk amorphous alloy.
图 3 Zr48(Cu5/6Ag1/6)44Al8块体非晶合金在658 K温度下归一化储能模量E'/Eμ和损耗模量E''/Eμ随时间演化曲线
Figure 3. Time evolution curves of normalized storage modulus E'/Eμ and loss modulus E''/Eμ of Zr48(Cu5/6Ag1/6)44Al8 bulk amorphous alloy at 658 K.
图 4 Zr48(Cu5/6Ag1/6)44Al8块体非晶合金在一定退火温度下内耗tanδ随时间演化
Figure 4. Evolution of internal friction tanδ with time in bulk amorphous alloys of Zr48(Cu5/6Ag1/6)44Al8 at certain annealing temperatures.
图 5 Zr48(Cu5/6Ag1/6)44Al8块体非晶合金在不同温度下应力松弛响应
Figure 5. Stress relaxation curves of Zr48(Cu5/6Ag1/6)44Al8 metallic glass in different temperatures.
图 6 Zr48(Cu5/6Ag1/6)44Al8非晶合金在不同温度下应力降随时间演化规律
Figure 6. Evolution of stress drop with time for Zr48(Cu5/6Ag1/6)44Al8 metallic glass at different temperatures.
图 8 Zr48(Cu5/6Ag1/6)44Al8非晶合金激活能谱随温度演化规律
Figure 8. Evolution of activation energy spectrum of metallic glass Zr48(Cu5/6Ag1/6)44Al8 with temperature.
图 9 Zr48(Cu5/6Ag1/6)44Al8非晶合金在初始应变为0.4%, 不同温度下(523—643 K)归一化应力随时间演化曲线
Figure 9. Time evolution curve of normalized stress of Zr48 (Cu5/6Ag1/6)44Al8 metallic glass at different temperatures (523–643 K) with initial strain of 0.4%.
图 11 643 K应力松弛曲线计算 (a) Gauss正态分布; (b) Gumbel分布
Figure 11. Calculated curves of stress relaxation at 643 K: (a) Gauss distribution; (b) Gumbel distribution.
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[1] Suryanarayana C, Inoue A 2017 Bulk Metallic Glasses (Boca Raton: CRC Press) pp465–503
[2] 汪卫华 2013 物理学进展 33 177
Wang W H 2013 Prog. Phys. 33 177
[3] Wang W H 2012 Prog. Mater. Sci. 57 487
Google Scholar
[4] Inoue A, Takeuchi A 2011 Acta Mater. 59 2243
Google Scholar
[5] Khmich A, Hassani A, Sbiaai K, Hasnaoui A 2021 Int. J. Mech. Sci. 204 106546
Google Scholar
[6] 曹庆平, 吕林波, 王晓东, 蒋建中 2021 金属学报 57 473
Google Scholar
Cao Q P, Lü L B, Wang X D, Z J J 2021 Acta. Metall. Sin. 57 473
Google Scholar
[7] 李宁, 黄信 2021 金属学报 57 529
Google Scholar
Li N, Huang X 2021 Acta. Metall. Sin. 57 529
Google Scholar
[8] 毕甲紫, 刘晓斌, 李然, 张涛 2021 金属学报 57 559
Google Scholar
Bi J Z, Liu X B, Li R, Z T 2021 Acta. Metall. Sin. 57 559
Google Scholar
[9] Sun Q, Hu L, Zhou C, Zheng H, Yue Y 2015 J. Chem. Phys. 143 164504
Google Scholar
[10] Qiao J C, Pelletier J M 2014 J. Mater. Sci. Technol. 30 523
Google Scholar
[11] Qiao J C, Wang Q, Crespo D, Yang Y, Pelletier J M 2017 Chin. Phys. B 26 16402
Google Scholar
[12] Schuh C A, Hufnagel T C, Ramamurty U 2007 Acta Mater. 55 4067
Google Scholar
[13] Hao Q, Lyu G J, Pineda E, Pelletier J M, Wang Y J, Yang Y, Qiao J C 2022 Int. J. Plast. 154 103288
Google Scholar
[14] Zhang L T, Duan Y J, Crespo D, Pineda E, Wang Y J, Pelletier J M, Qiao J C 2021 Sci. China-Phys. Mech. Astron. 64 296111
Google Scholar
[15] Zhang L T, Wang Y J, Pineda E, Yang Y, Qiao J C 2022 Int. J. Plast. 157 103402
Google Scholar
[16] Wang Q, Pelletier J M, Blandin J J, Suéry M 2005 J. Non-Cryst. Solids. 351 2224
Google Scholar
[17] Perez J 1998 Physics and Mechanics of Amorphous Polymers (London: Routledge) p5
[18] Qiao J C, Pelletier J M, Yao Y 2019 Mater. Sci. Eng. A-Struct. Mater. Prop. Microstruct. Process. 743 185
Google Scholar
[19] Harmon J S, Demetriou M D, Johnson W L, Samwer K 2007 Phys. Rev. Lett. 99 135502
Google Scholar
[20] Wang W H. 2019 Prog. Mater. Sci. 106 100561
Google Scholar
[21] 乔吉超, 张浪渟, 童钰, 吕国建, 郝奇, 陶凯 2022 力学进展 52 117
Google Scholar
Qiao J C, Zhang L T, Tong Y, Lyu G J, Hao Q, T K 2022 Adv. Mech. 52 117
Google Scholar
[22] Zhu F, Hirata A, Liu P, Song S, Tian Y, Han J, Fujita T, Chen M 2017 Phys. Rev. Lett. 119 215501
Google Scholar
[23] Kubin P L 1974 Philos. Mag. 30 705
Google Scholar
[24] Jiao W, Wen P, Peng H L, Bai H Y, Sun B A, Wang W H 2013 Appl. Phys. Lett. 102 101903
Google Scholar
[25] Argon A S, Kuo H Y 1979 Mater. Sci. Eng. 39 101
Google Scholar
[26] Ruta B, Pineda E, Evenson Z 2017 J. Phys. Condens. Matter 29 503002
Google Scholar
[27] Duan Y J, Zhang L T, Qiao J C, Wang, Yun Jiang, Yang Y, Wada T, Kato H, Pelletier J M, Pineda E, Crespo D 2022 Phys. Rev. Lett. 129 175501
Google Scholar
[28] Ferry J D 1980 Viscoelastics Properties of Polymers (New York: Wiley) pp183–200
[29] Rinaldi R, Gaertner R, Chazeau L, Gauthier C 2011 Int. Non-Linear Mech. 46 496
Google Scholar
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