Mechanical property of metallic foams under dynamic tension with constant high strain rate
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摘要: 为了探究泡沫金属恒定应变率动态拉伸力学行为，基于3D Voronoi模型，采用双向拉伸加载方式和1.55倍等效胞孔直径高度的试件，实现了5000 s−1恒定高应变率动态拉伸条件下泡沫金属力学性能测试数值模拟实验，模拟结果显示：动态拉伸过程满足应力均匀性和变形均匀性要求，且试件破坏位置合理；在恒定应变率（0.5～5000 s−1）动态拉伸时，泡沫金属的破坏应变基本不受应变率的影响；当应变率不超过500 s−1 时，破坏应力受应变率影响很小，当应变率在 500～5000 s−1 时，破坏应力随着加载速率的增大而线性增大。Abstract: In order to explore the dynamic behavior of metallic foams under the stretch of constant high strian rate, a few numerical simulations were conducted to explore the effects of both the height of specimen and the tensile velocity on the stress uniformity and deformation uniformity as well as the failure position of the specimen under dynamic tensile loading. And then, a feasible numerical simulation scheme was proposed to obtain dynamic tensile properties of metallic foams under dynamic tension loading with constant strain rates. According to this scheme, the max strain rate reaches 5000 s−1 by means of both decreasing the height of specimen to 1.55 times of the cells’ equivalent diameter and stretching the specimen in two opposite directions with the same velocity. The scheme was verified to be rational by these four main requirements: the stress uniformity and deformation uniformity of the specimen, the acceptable failure position of the specimen and good repeatability. Employing this scheme, a series of dynamic tensile simulations were carried out to investigate the effect of the strain rate on the dynamic tensile mechanical properties of metallic foams. Results show that the failure strain of metallic foams is almost independent of the strain rate in the range from 0.5 s−1 to 5000 s−1, and the failure stress of metallic foams is slightly affected by strain rate in the range from 0.5 s−1 to 500 s−1, but increases linearly with the strain rate in the range from 500 s−1 to 5000 s−1.
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Key words:
- constant high strain rate /
- dynamic tension /
- metallic foam /
- failure behavior
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图 4 模型A和B拉伸向均分示意图
Figure 4. Schematic of drawing direction equalization of model A and B
图 5 各组模型伪应变能与内能比值（
$ \eta ={E}_{\mathrm{a}\mathrm{s}}/U $ ）Figure 5. Ratio of the artificial strain energy to internal energy (
$ \eta ={E}_{\mathrm{a}\mathrm{s}}/U $ ) for dynamic tension simulations
图 6 300 s−1拉伸时模型z=0截面变形过程
Figure 6. Deformations of foams at z=0 section under dynamic tension loading with strain rate of 300 s−1
图 8 拉伸模型应力-应变曲线及其应力不均匀性指标
Figure 8. Stress-strain curves and stress inhomogeneity of models
图 11 模型B高应变率拉伸破坏
Figure 11. Failure of the model B under high strain rate tensile loading
图 12 模型B动态拉伸应力-应变曲线及不均匀性指标（5000 s−1）
Figure 12. Dynamic tensile stress-strain curves and non-uniformity of the model B (5000 s−1)
图 13 模型B不同应变率动态拉伸应力−应变曲线
Figure 13. Stress-strain curves of model B under dynamic tension loading with different strain rates
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[1] GIBSON L J, ASHBY M F, ZHANG J, et al. Failure surfaces for cellular materials under multiaxial loads—I. Modelling [J]. International Journal of Mechanical Sciences, 1989, 31(9): 635–663. DOI: 10.1016/S0020-7403(89)80001-3. [2] YUAN H, ZHANG J X. Dynamic response of slender multilayer sandwich beams with fiber-metal laminate face-sheets subjected to low-velocity impact [J]. Thin-Walled Structures, 2022, 172: 108932. DOI: 10.1016/j.tws.2022.108932. [3] BABAKHANI A, GOLESTANIPOUR M, ZEBARJAD S M. Modelling of aluminium foam core sandwich panels under impact perforation [J]. Materials Science and Technology, 2016, 32(13): 1330–1337. DOI: 10.1080/02670836.2015.1122297. [4] 朱凌, 郭开岭, 余同希, 等. 泡沫金属夹芯梁在重复冲击下的动态响应 [J]. 爆炸与冲击, 2021, 41(7): 073101. DOI: 10.11883/bzycj-2020-0198.ZHU L, GUO K L, YU T X, et al. Dynamic responses of metal foam sandwich beams to repeated impacts [J]. Explosion and Shock Waves, 2021, 41(7): 073101. DOI: 10.11883/bzycj-2020-0198. [5] 张元瑞, 汪高飞, 张永亮, 等. 基于泡沫铝复合结构的汽车座椅横梁填充设计与优化 [J]. 机械强度, 2022, 44(1): 140–147. DOI: 10.16579/j.issn.1001.9669.2022.01.019.ZHANG Y R, WANG G F, ZHANG Y L, et al. Filling design and optimization of automobile seat crossbeam based on aluminum foam composite structure [J]. Journal of Mechanical Strength, 2022, 44(1): 140–147. DOI: 10.16579/j.issn.1001.9669.2022.01.019. [6] 刘伟明, 程和法, 黄笑梅, 等. 开孔泡沫铝填充圆管的准静态压缩行为 [J]. 爆炸与冲击, 2009, 29(6): 654–658. DOI: 10.11883/1001-1455(2009)06-0654-05.LIU W M, CHENG H F, HUANG X M, et al. Quasi-static compression behaviors of cylindrical tubes filled with open-cell aluminum foam [J]. Explosion and Shock Waves, 2009, 29(6): 654–658. DOI: 10.11883/1001-1455(2009)06-0654-05. [7] NAMMI S K, MYLER P, EDWARDS G. Finite element analysis of closed-cell aluminium foam under quasi-static loading [J]. Materials & Design, 2010, 31(2): 712–722. DOI: 10.1016/j.matdes.2009.08.010. [8] 庄蔚敏, 王恩铭. 胞孔孔径对泡沫铝压缩力学性能影响的仿真研究 [J]. 机械工程学报, 2022, 58(12): 75–82,92. DOI: 10.3901/JME.2022.12.075.ZHUANG W M, WANG E M. Simulation study on the influence of pore size on the compression mechanical properties of aluminum foam [J]. Chinese Journal of Mechanical Engineering, 2022, 58(12): 75–82,92. DOI: 10.3901/JME.2022.12.075. [9] 王二恒, 虞吉林, 王飞, 等. 泡沫铝材料准静态本构关系的理论和实验研究 [J]. 力学学报, 2004, 36(6): 673–679. DOI: 10.3321/j.issn:0459-1879.2004.06.005.WANG E H, YU J L, WANG F, et al. A theoretical and experimental study on the quasi-static constitutive model of aluminum foams [J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(6): 673–679. DOI: 10.3321/j.issn:0459-1879.2004.06.005. [10] BALCH D K, O’DWYER J G, DAVIS G R, et al. Plasticity and damage in aluminum syntactic foams deformed under dynamic and quasi-static conditions [J]. Materials Science and Engineering: A, 2005, 391(1/2): 408–417. DOI: 10.1016/j.msea.2004.09.012. [11] AN Y K, YANG S Y, ZHAO E T, et al. Characterization of metal grid-structure reinforced aluminum foam under quasi-static bending loads [J]. Composite Structures, 2017, 178: 288–296. DOI: 10.1016/j.compstruct.2017.07.031. [12] YANG B, TANG L Q, LIU Y P, et al. Localized deformation in aluminium foam during middle speed Hopkinson bar impact tests [J]. Materials Science and Engineering:A, 2013, 560: 734–743. DOI: 10.1016/j.msea.2012.10.027. [13] 李忠献, 张茂轩, 师燕超. 闭孔泡沫铝的动态压缩性能试验研究 [J]. 振动与冲击, 2017, 36(5): 1–6. DOI: 10.13465/j.cnki.jvs.2017.05.001.LI Z X, ZHANG M X, SHI Y C. Tests for dynamic compressive performance of closed-cell aluminum foams [J]. Journal of Vibration and Shock, 2017, 36(5): 1–6. DOI: 10.13465/j.cnki.jvs.2017.05.001. [14] 常白雪, 郑志军, 赵凯, 等. 具有恒定冲击载荷的梯度泡沫金属材料设计 [J]. 爆炸与冲击, 2019, 39(4): 041101. DOI: 10.11883/bzycj-2018-0431.CHANG B X, ZHENG Z J, ZHAO K, et al. Design of gradient foam metal materials with a constant impact load [J]. Explosion and Shock Waves, 2019, 39(4): 041101. DOI: 10.11883/bzycj-2018-0431. [15] 习会峰, 姚一鸣, 刘逸平, 等. 泡沫金属中高速拉伸的试验数据处理与材料力学性能测量 [J]. 实验力学, 2020, 35(6): 978–984. DOI: 10.7520/1001-4888-19-043.XI H F, YAO Y M, LIU Y P, et al. Data processing and mechanical properties measurement of foamed metal in medium to high-speed tensile test [J]. Journal of Experimental Mechanics, 2020, 35(6): 978–984. DOI: 10.7520/1001-4888-19-043. [16] HE M C, LI C, GONG W L, et al. Dynamic tests for a constant-resistance-large-deformation bolt using a modified SHTB system [J]. Tunnelling and Underground Space Technology, 2017, 64: 103–116. DOI: 10.1016/j.tust.2016.12.007. [17] LEDFORD N, PAUL H, GANZENMÜLLER G, et al. Investigations on specimen design and mounting for Split Hopkinson Tension Bar (SHTB) experiments [J]. EPJ Web of Conferences, 2015, 94: 01049. DOI: 10.1051/epjconf/20159401049. [18] 邹广平, 谌赫, 唱忠良. 一种基于SHTB的Ⅱ型动态断裂实验技术 [J]. 力学学报, 2017, 49(1): 117–125. DOI: 10.6052/0459-1879-16-239.ZOU G P, CHEN H, CHANG Z L. A modified mode II dynamic fracture test technique based on SHTB [J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 117–125. DOI: 10.6052/0459-1879-16-239. [19] MIRONE G, BARBAGALLO R, CADONI E. Tensile test of a HSLA steel at high strain rates with two different SHTB Facilities [J]. Procedia Engineering, 2017, 197: 89–98. DOI: 10.1016/j.proeng.2017.08.085. [20] 李尚昆, 胡文军, 徐伟芳, 等. 高温霍普金森拉杆实验技术研究进展 [J]. 中国测试, 2018, 44(10): 35–42. DOI: 10.11857/j.issn.1674-5124.2018.10.006.LI S K, HU W J, XU W F, et al. Research progress on SHTB experiment technique at elevated temperature [J]. China Measurement & Test, 2018, 44(10): 35–42. DOI: 10.11857/j.issn.1674-5124.2018.10.006. [21] 康建功, 刘芳, 马惠香. 泡沫铝衰减一维应力波特性研究 [J]. 爆破, 2018, 35(1): 180–185. DOI: 10.3963/j.issn.1001-487X.2018.01.029.KANG J G, LIU F, MA H X. Study on attenuation characteristic of one-dimensional stress wave in foam aluminum [J]. Blasting, 2018, 35(1): 180–185. DOI: 10.3963/j.issn.1001-487X.2018.01.029. [22] XIE B X, TANG L Q, LIU Y P, et al. Numerical analysis on usability of SHPB to characterize dynamic stress–strain relation of metal foam [J]. International Journal of Applied Mechanics, 2017, 9(5): 1750075. DOI: 10.1142/s1758825117500752. [23] ZHANG X Y, WU Y D, TANG L Q, et al. Modeling and computing parameters of three-dimensional Voronoi models in nonlinear finite element simulation of closed-cell metallic foams [J]. Mechanics of Advanced Materials and Structures, 2018, 25(15/16): 1265–1275. DOI: 10.1080/15376494.2016.1190426. [24] WU Y D, QIAO D, TANG L Q, et al. Global topology of failure surfaces of metallic foams in principal-stress space and principal-strain space studied by numerical simulations [J]. International Journal of Mechanical Sciences, 2019, 151: 551–562. DOI: 10.1016/j.ijmecsci.2018.12.003. [25] ZHANG X Y, TANG L Q, LIU Z J, et al. Yield properties of closed-cell aluminum foam under triaxial loadings by a 3D Voronoi model [J]. Mechanics of Materials, 2017, 104: 73–84. DOI: 10.1016/j.mechmat.2016.10.007. [26] ZHANG X Y, TANG L Q, JIANG Z Y, et al. Effects of Meso shape irregularity of metal foam on yield features under triaxial loading [J]. International Journal of Structural Stability and Dynamics, 2015, 15(7): 1540014. DOI: 10.1142/S0219455415400143. -
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