Dynamic stress-strain states of cellular materials and a uniformly approximated relation

WANG Peng; ZHU Changfeng; ZHENG Zhijun; YU Jilin

doi:10.11883/bzycj-2017-0280

Volume 39 Issue 1

Oct. 2018

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WANG Peng, ZHU Changfeng, ZHENG Zhijun, YU Jilin. Dynamic stress-strain states of cellular materials and a uniformly approximated relation[J]. Explosion And Shock Waves, 2019, 39(1): 013102. doi: 10.11883/bzycj-2017-0280

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WANG Peng, ZHU Changfeng, ZHENG Zhijun, YU Jilin. Dynamic stress-strain states of cellular materials and a uniformly approximated relation[J]. Explosion And Shock Waves, 2019, 39(1): 013102. doi: 10.11883/bzycj-2017-0280

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Dynamic stress-strain states of cellular materials and a uniformly approximated relation

doi: 10.11883/bzycj-2017-0280

WANG Peng^{1, 2},
ZHU Changfeng¹,
ZHENG Zhijun^{1
,
,},
YU Jilin¹

1.
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China

Received Date: 2017-08-09
Rev Recd Date: 2018-03-06
Publish Date: 2019-01-05

Abstract

Abstract

Cellular material under high-speed impact is deformed in a mode of layer-wise propagation of crushing bands, which can be characterized by the plastic shock models. In this paper, we obtained the one-dimensional stress distribution of a random honeycomb under constant-velocity compression using the cross-sectional stress calculation method, analyzed the shockwave propagation, and examined the relation between the shockwave velocity and the impact velocity obtained by different methods under high-velocity impact. The results show that the shockwave speed is overestimated by the R-PP-L (rate-independent, rigid-perfect plastic-locking) model, but the shockwave speeds obtained by the R-PH (rate-independent, rigid-plastic hardening) model and the one-dimensional shock theory are close to that of finite element simulation. The relation between the shockwave velocity and the impact velocity tends to be linear at high impact velocities, and the shockwave speed reduces to a constant with the decrease of the impact velocity. In light of these characteristics and based on the plastic shockwave model, we developed a uniformly approximated model is developed to characterize the relation between the shockwave velocity and the impact velocity and the dynamic stress-strain relation of cellular material.
- cellular material,
- stress distribution,
- shock theory,
- shock wave speed,
- constitutive relation

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References(17)

References

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