Constitutive equation of expanding cylindrical shell at constant strain rate

Guo Zhaoliang; Ren Guowu; Zhang Shiwen; Tang Tiegang; Liu Cangli

doi:10.11883/1001-1455(2016)05-0583-07

Volume 36 Issue 5

Oct. 2018

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2016 > 36(5): 583-589

Guo Zhaoliang, Ren Guowu, Zhang Shiwen, Tang Tiegang, Liu Cangli. Constitutive equation of expanding cylindrical shell at constant strain rate[J]. Explosion And Shock Waves, 2016, 36(5): 583-589. doi: 10.11883/1001-1455(2016)05-0583-07

Citation:

Guo Zhaoliang, Ren Guowu, Zhang Shiwen, Tang Tiegang, Liu Cangli. Constitutive equation of expanding cylindrical shell at constant strain rate[J]. Explosion And Shock Waves, 2016, 36(5): 583-589. doi: 10.11883/1001-1455(2016)05-0583-07

Citation:

PDF( 2615 KB)

Constitutive equation of expanding cylindrical shell at constant strain rate

doi: 10.11883/1001-1455(2016)05-0583-07

1.
Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China
2.
China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

Received Date: 2015-01-12
Rev Recd Date: 2015-05-06
Publish Date: 2016-09-25

Abstract

Abstract

In this work, taking into account of the interference of random cracks in the expansion process, we designed a cylindrical sample made with a preset hole. Then, using the Doppler pins system (DPS), we obtained some better curves for the cylinder's radial speed histories. Based on the non-constant strain rate phenomena in the expanding ring and expanding cylinder experiments, we conducted experiments and studied a method for obtaining constitutive equation at constant strain rate. The improved constitutive equation method was used to obtain the modified constitutive equation at constant strain rate for 20 steel.
- solid mechanics,
- constitutive equation,
- Doppler pins system(DPS),
- expanding cylindrical shell,
- constant strain rate

FullText(HTML)

References(13)

References

[1]	Johnson P C, Stein B A, Davis R S. Measurement of dynamic plastic flow properties under uniform stress[C]//Symposium on the Dynamic Behavior of Materials. ASTM Special Publication, 1963: 195-198.
[2]	Hiroe T, Matsuo H, Fujiwara K, et al. Dynamic behavior of materials induced by explosive loadings initiated using wire explosion techniques[J]. Journal of Materials Processing Technology, 1999, 85(1/3):56-59. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=7ae983244d308a749001df971576f3a9
[3]	Hiroe T, Fujiwara K, Hata H, et al. Deformation and fragmentation behavior of exploded metal cylinders and the effects of wall materials, configuration, explosive energy and initiated locations[J]. International Journal of Impact Engineering, 2008, 35(12):1578-1586. doi: 10.1016/j.ijimpeng.2008.07.002
[4]	汤铁钢, 李庆忠, 陈永涛, 等.实现材料高应变率拉伸加载的爆炸膨胀环技术[J].爆炸与冲击, 2009, 29(5):546-549. doi: 10.3321/j.issn:1001-1455.2009.05.017 Tang Tiegang, Li Qingzhong, Chen Yongtao, et al. An improved technique for dynamic tension of metal ring by explosive loading[J]. Explosion and Shock Waves, 2009, 29(5):546-549. doi: 10.3321/j.issn:1001-1455.2009.05.017
[5]	汤铁钢, 桂毓林, 李庆忠, 等.爆炸膨胀环实验数据处理方法讨论[J].爆炸与冲击, 2010, 30(5):505-510. doi: 10.11883/1001-1455(2010)05-0505-06 Tang Tiegang, Gui Yulin, Li Qingzhong, et al. A discussion of data processing techniques for expanding ring tests[J]. Explosion and Shock Waves, 2010, 30(5):505-510. doi: 10.11883/1001-1455(2010)05-0505-06
[6]	汤铁钢, 李庆忠, 刘仓理, 等.爆炸膨胀环的截面尺寸效应[J].爆炸与冲击, 2010, 30(1):39-44. http://www.bzycj.cn/cn/search Tang Tiegang, Li Qingzhong, Liu Cangli, et al. Size effects of expanding ring by explosive loading[J]. Explosion and Shock Waves, 2010, 30(1):39-44. http://www.bzycj.cn/cn/search
[7]	汤铁钢, 李庆忠, 陈永涛, 等.爆炸膨胀环一维应力假定的分析与讨论[J].爆炸与冲击, 2010, 30(6):577-582. doi: 10.11883/1001-1455(2010)06-0577-06 Tang Tiegang, Li Qingzhong, Chen Yongtao, et al. Discussion about one-dimensional stress presume for explosion expanding ring test[J]. Explosion and Shock Waves, 2010, 30(6):577-582. doi: 10.11883/1001-1455(2010)06-0577-06
[8]	Warnes R H, Karpp R R, Follansbee P S. The freely expanding ring test-A test to determine material strength at high strain rates[J]. Journal De Physiques IV, 1985, 46(C5):583-590. http://cn.bing.com/academic/profile?id=17e2684ddf908a2d6fe6bbf5f23b543b&encoded=0&v=paper_preview&mkt=zh-cn
[9]	宋力, 胡时胜.SHPB测试中的均匀性问题及恒应变率[J].爆炸与冲击, 2005, 25(3):207-216. doi: 10.3321/j.issn:1001-1455.2005.03.003 Song Li, Hu Shisheng. Stress uniformity and constant strain rate in SHPB test[J]. Explosion and Shock Waves, 2005, 25(3):207-216. doi: 10.3321/j.issn:1001-1455.2005.03.003
[10]	奥尔连科.爆炸物理学[M].孙承纬, 译.北京: 科学出版社, 2011: 822-825.
[11]	Grady D E, Kipp M E. The growth of unstable thermoplastic shear with application to steady-wave shock compression in solids[J]. Journal of the Mechanics and Physics of Solids, 1987, 35(1):95-119. doi: 10.1016/0022-5096(87)90030-5
[12]	Grady D E. Fragmentation of Rings and Shells: The Legacy of N. F. Mott[M]. New York: Springer, 2006.
[13]	刘旭红, 黄西成, 陈裕泽, 等.强动载荷下金属材料塑性变形本构模型评述[J].力学进展, 2007, 37(3):361-374. doi: 10.3321/j.issn:1000-0992.2007.03.004 Liu Xuhong, Huang Xicheng, Cheng Yuze, et al. A review on constitutive models for plastic deformation of metal materials under dynamic loadings[J]. Advances in Mechanics, 2007, 37(3):361-374. doi: 10.3321/j.issn:1000-0992.2007.03.004