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金属学报  2018, Vol. 54 Issue (6): 950-958    DOI: 10.11900/0412.1961.2017.00398
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Schmid因子的理论计算及其在镁合金高速变形过程中的应用
刘晏宇, 毛萍莉(), 刘正, 王峰, 王志
沈阳工业大学材料科学与工程学院 沈阳 110870
Theoretical Calculation of Schmid Factor and Its Application Under High Strain Rate Deformation in Magnesium Alloys
Yanyu LIU, Pingli MAO(), Zheng LIU, Feng WANG, Zhi WANG
School of Materials Science and Engineering, Shenyang University of Technology, Shenyang 110870, China
引用本文:

刘晏宇, 毛萍莉, 刘正, 王峰, 王志. Schmid因子的理论计算及其在镁合金高速变形过程中的应用[J]. 金属学报, 2018, 54(6): 950-958.
Yanyu LIU, Pingli MAO, Zheng LIU, Feng WANG, Zhi WANG. Theoretical Calculation of Schmid Factor and Its Application Under High Strain Rate Deformation in Magnesium Alloys[J]. Acta Metall Sin, 2018, 54(6): 950-958.

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摘要: 

为了便于分析镁合金在高速变形过程中的变形机制,计算了4种滑移方式(基面滑移、柱面滑移、锥面<a>滑移和锥面<c+a>滑移)和2种孪晶方式({101?2}拉伸孪晶和 <\({10 \bar{1} 1}\)>压缩孪晶)的Schmid因子。结合电子背散射衍射(EBSD)技术,获得了轧制态AZ31镁合金原始样品的Schmid因子实验值,并将理论计算值与实验值进行了比较。采用Hopkinson压杆对AZ31镁合金轧制板材在1600 s-1的应变速率下进行了高速冲击实验,对所获得的样品进行了金相组织观察。结合Schmid因子计算结果,讨论了不同方向样品在不同加载方向下的主要变形机制。结果表明,Schmid因子的理论计算值与实验值可以很好吻合。Schmid因子计算简单、表达方便,可以有效分析镁合金中主要的变形方式和解释应力-应变曲线特征。镁合金中不同变形方式的Schmid因子值及其变化规律均不相同,其计算结果可为镁合金中织构所引起的各向异性现象的分析提供理论依据。

关键词 Schmid因子镁合金变形机制EBSD    
Abstract

As an important parameter, the Schmid factor has been widely applied to analyze the deformation modes in metals. In order to analyze the deformation mechanisms of magnesium alloys under high strain rate, the Schmid factors of four slip modes (basal, prismatic, pyramidal <a> and pyramidal <c+a> slips) and two twinning systems ({101?2} tension and {101?1} contraction twinnings) were systematically calculated in this work. The experimental values of Schmid factor of as-received AZ31 rolling magnesium alloy sheets were obtained by electron backscatter diffraction (EBSD) technique, and then the theoretical calculated values were compared with those values. The high strain rate compression test of AZ31 rolling magnesium sheets was conducted by using split Hopkinson pressure bar at the strain rate of 1600 s-1, and the microstructures after compression were observed by optical microscopy. The Schmid factors and microstructures are combined to discuss the predominant deformation mechanisms for different orientation samples under different loading directions. The results showed that the theoretical calculated values of Schmid factors are in good agreement with their experimental values. Therefore, the Schmid factor, owing to its simplicity and conveniene, could be used to analyze the predominant deformation mechanism and interpret the unique characteristics of "true stress-true strain" curves in magnesium alloys. Furthermore, since the Schmid factor and its variation trend associated with deformation behavior in magnesium alloys are related, the calculation result of Schmid factor can provide a theoretical analytic approach to understand anisotropic phenomena caused by strong texture in magnesium alloys.

Key wordsSchmid factor    magnesium alloy    deformation mechanism    EBSD
收稿日期: 2017-09-22     
ZTFLH:  TG146.2  
基金资助:2017年沈阳市科技计划项目No.17-9-6-00
作者简介:

作者简介 刘晏宇,男,1993年生,硕士

图1  加载方向与c轴、a轴、滑移面(或孪晶)法向和滑移(或孪晶)方向的相对关系
图2  基面滑移的Schmid因子(SF)等高线图
图3  柱面滑移的SF等高线图
图4  锥面<a>滑移的SF等高线图
图5  锥面<c+a>滑移的SF等高线图
图6  {1012}拉伸孪晶的SF等高线图
θ / (°) Basal <a> Prismatic slip Pyramidal Pyramidal {1012} {1011}
slip <a> slip <c+a> slip twinning twinning
0 0 0 0 0.446 0.499* -
15 0.218 0.025 0.110 0.499* 0.475 -
47 0.499* 0.238 0.390 0.292 0.260 0.259
70 0.354 0.425 0.498* 0.474 0.073 0.490
80 0.201 0.478 0.490 0.499* 0.021 0.492*
90 0 0.499* 0.441 0.446 - 0.470
表1  各变形方式在不同受力方向的最大SF
图7  {1011}压缩孪晶的SF等高线图
图8  AZ31镁合金轧板ND方向样品的显微组织和微观极图
图9  镁合金各变形方式的SF图
图10  不同方向AZ31镁合金轧板样品在1600 s-1应变速率的应力-应变曲线
图11  应变为0.05时,TD、RD和ND样品的显微组织
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