闭孔泡沫金属变形模式的有限元分析

李妍妍; 郑志军; 虞吉林; 王长峰

doi:10.11883/1001-1455(2014)04-0464-07

闭孔泡沫金属变形模式的有限元分析

doi: 10.11883/1001-1455(2014)04-0464-07

中国科学技术大学中国科学院材料力学行为和设计重点实验室，安徽合肥 230026

基金项目: 国家自然科学基金项目(11002140, 90916026)

详细信息

作者简介:
李妍妍(1989—), 女, 硕士研究生

中图分类号: O347.1
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- 被引次数: 20
出版历程
- 收稿日期: 2012-12-14
- 修回日期: 2013-03-21
- 刊出日期: 2014-07-25

Finite element analysis on deformation modes of closed-cell metallic foam

CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, Anhui 230026, Hefei, China

Funds: Supported bythe National Natural Science Foundation of China (11002140, 90916026)

More Information

Corresponding author: Zheng Zhi-jun, zjzheng@ustc.edu.cn

摘要

摘要: 运用有限元软件ABAQUS/Explicit模拟了三维Voronoi闭孔泡沫金属在不同的冲击速度下的变形行为。随着冲击速度的提高，得到了3种变形模式：准静态均匀模式、过渡模式和冲击模式，并以相对密度和冲击速度为坐标建立了变形模式图。引入应力均匀性指标和变形局部化指标，确定了模式转化的临界速度，并与已有的冲击速度预测公式进行了比较。根据临界速度的数值和理论结果，提出了一种确定锁定应变的方案，结果介于压实应变和完全密实应变之间。
- 固体力学 /
- 变形模式 /
- 有限元方法 /
- Voronoi模型 /
- 临界速度 /
- 锁定应变
Abstract: Deformation behavior of closed-cell metallic foam under uniaxial dynamic compression was investigated using the finite element method of ABAQUS/Explicit code. The random 3D Voronoi technique was employed to construct foam specimens. Three deformation modes, namely the quasi-static homogeneous mode, the transitional mode and the shock mode, had been observed in the foam specimens with increasing of impact velocity. A deformation mode map with coordinates of relative density and impact velocity was presented for the foam considered. Two parameters, namely the stress uniformity index and the deformation localization index, were introduced to identify two critical impact velocities of mode transitions. The numerical results of critical impact velocities were compared with the predictions using the theoretical formulas from the literature. Based on the numerical and theoretical results of critical impact velocities, a scheme is suggested to determine the locking strain. It is found that the locking strain obtained from this scheme is between the densification strain and the complete densification strain.
- solid mechanics /
- deformation mode /
- finite element method /
- Voronoi model /
- critical velocity /
- locking strain

HTML全文

图 1 三维随机Voronoi模型

Figure 1. A random 3D Voronoi model

下载: 全尺寸图片幻灯片

图 2 准静态应力-应变曲线

Figure 2. Quasi-static compression strain-stress curves

下载: 全尺寸图片幻灯片

图 3 变形模式

Figure 3. Deformation modes

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图 4 冲击端和支撑端的名义应力-应变曲线

Figure 4. Nominal strain-stress curves at the impact and support ends

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图 5 应力均匀性指标随冲击速度的变化

Figure 5. Stress uniformity index versus impact velocity

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图 6 R与ε的关系曲线

Figure 6. Curves of R varying with ε

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图 7 变形局部化指标随冲击速度的变化

Figure 7. Deformation localization index versus impact velocity

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图 8 变形模式图

Figure 8. Deformation mode map

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图 9 锁定应变、压实应变和完全密实应变

Figure 9. Locking strain, densification strain and full densification strain

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表 1 屈服应变和应力、压实应变和应力、平台应力

Table 1. The yield strain and stress, densification strain and stress, and plateau stress

ρ	ε_y	σ_y/MPa	ε_D	σ_D/MPa	σ_pl/MPa
0.05	0.005	2.6±0.03	0.620±0.021	3.1±0.2	2.79±0.03
0.10	0.005	5.5±0.10	0.624±0.017	9.1±0.4	7.30±0.10
0.15	0.010	11.2±0.10	0.620±0.010	16.3±0.5	12.90±0.20
0.20	0.020	16.2±0.20	0.610±0.012	23.8±0.8	19.10±0.20

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施引文献

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