Modified method for scaling law based on Cowper-Symonds equation

SU Zixing; HE Jiye

doi:10.11883/bzycj-2016-0308

Volume 38 Issue 3

Feb. 2018

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2018 > 38(3): 654-658

SU Zixing, HE Jiye. Modified method for scaling law based on Cowper-Symonds equation[J]. Explosion And Shock Waves, 2018, 38(3): 654-658. doi: 10.11883/bzycj-2016-0308

Citation:

SU Zixing, HE Jiye. Modified method for scaling law based on Cowper-Symonds equation[J]. Explosion And Shock Waves, 2018, 38(3): 654-658. doi: 10.11883/bzycj-2016-0308

SU Zixing, HE Jiye. Modified method for scaling law based on Cowper-Symonds equation[J]. Explosion And Shock Waves, 2018, 38(3): 654-658. doi: 10.11883/bzycj-2016-0308

Citation:

SU Zixing, HE Jiye. Modified method for scaling law based on Cowper-Symonds equation[J]. Explosion And Shock Waves, 2018, 38(3): 654-658. doi: 10.11883/bzycj-2016-0308

PDF( 1372 KB)

Modified method for scaling law based on Cowper-Symonds equation

doi: 10.11883/bzycj-2016-0308

SU Zixing^1
,,
HE Jiye²

1.
School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, Shaanxi, China
2.
School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, Shaanxi, China

Received Date: 2016-10-17
Rev Recd Date: 2017-01-25
Publish Date: 2018-05-25

Abstract

Abstract

In this paper we proposed a method for modifying classical similarity theories to meet the guidance need in the impact experiment of strain rate sensitive materials. This method, based on recent dynamic similarity theories, took into account the effect of the initial load's similarity coefficients on the strain-rate effect during the impact experiment due to the differences in materials between the prototype and the model. We rebuilt the calculation formulas of the initial load's similarity coefficients using the Cowper-Symonds equation, and discussed the results obtained in the impact experiment on two scaled models, made from two different materials, as to whether they were strain-rate sensitive or not, showing that, compared with the classical similarity theories, our newly proposed method could provide the initial load's accurate similarity coefficients and thus improve the model prediction precision.
- similarity theory,
- Cowper-Symonds equation,
- similarity coefficient,
- impact experiment

FullText(HTML)

References(9)

References

[1]	沈雁鸣, 陈坚强.超高速碰撞相似律的数值模拟验证[J].爆炸与冲击, 2011, 21(4):343-348. http://www.bzycj.cn/CN/abstract/abstract8681.shtml SHEN Yanming, CHEN Jianqiang. Numerically simulating verification of the comparability rule on hypervelocity impact[J]. Explosion and Shock Waves, 2011, 21(4):343-348. http://www.bzycj.cn/CN/abstract/abstract8681.shtml
[2]	BAKER W E, WESTINE P S, DODGE F T. Similarity methods in engineering dynamics:theory and practice of scale modeling[M]. Amsterdam:Elsevier Science Publishers, 1991.
[3]	谈庆明. 高速冲击模型律[M]//王礼立. 冲击动力学进展. 合肥: 中国科学技术大学出版社, 1992: 303-320.
[4]	谈庆明.量纲分析[M].合肥:中国科学技术大学出版社, 2005.
[5]	CALLADINE R C. An investigation of impact scaling theory[M]. London:Structural Crashworthiness, Butterworths & Co Publishers, 1983:169-174.
[6]	OSHIRO R, ALVES M. Scaling of structures subject to impact loads when using a power law constitutive equation[J]. International Journal of Solids Structure, 2009, 46(18/19):3412-3421. https://www.sciencedirect.com/science/article/pii/S0020768309002212
[7]	LEMAITRE J, CHABOCHE J L. Mechanics of solids materials[M]. Paris:Dunod, 1988.
[8]	JONES N. Structural impact[M]. New York:Cambridge University Press, 1997.
[9]	CHEN Liebin, YANG Jialing. Analytical evaluation of permanent deflection of a thin circular plate struck normally at its center by a projectile[J]. Acta Mechanica Solida Sinica, 2007, 20(2):117-122. doi: 10.1007/s10338-007-0714-0