Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact

YANG Leifeng; CHANG Xinzhe; XU Fei; WANG Shuai; LIU Xiaochuan; XI Xulong; LI Xiaocheng

doi:10.11883/bzycj-2021-0452

Volume 42 Issue 5

May 2022

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YANG Leifeng, CHANG Xinzhe, XU Fei, WANG Shuai, LIU Xiaochuan, XI Xulong, LI Xiaocheng. Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact[J]. Explosion And Shock Waves, 2022, 42(5): 053205. doi: 10.11883/bzycj-2021-0452

Citation:

YANG Leifeng, CHANG Xinzhe, XU Fei, WANG Shuai, LIU Xiaochuan, XI Xulong, LI Xiaocheng. Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact[J]. Explosion And Shock Waves, 2022, 42(5): 053205. doi: 10.11883/bzycj-2021-0452

Citation:

YANG Leifeng, CHANG Xinzhe, XU Fei, WANG Shuai, LIU Xiaochuan, XI Xulong, LI Xiaocheng. Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact[J]. Explosion And Shock Waves, 2022, 42(5): 053205. doi: 10.11883/bzycj-2021-0452

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Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact

doi: 10.11883/bzycj-2021-0452

1.
Institute for Computational Mechanics and Its Applications, School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
2.
Aviation Key Laboratory of Science and Technology on Structures Impact Dynamics, Aircraft Strength Research Institute of China, Xi’an 710065, Shaanxi, China

Received Date: 2021-11-02
Rev Recd Date: 2022-01-04

Available Online: 2022-04-24

Publish Date: 2022-05-27

Abstract

Abstract

In scaling the dynamic responses of thin-walled cylindrical shells subjected to axial impact loading, the thickness cannot be adjusted according to the same scale as the radius and height due to the thin wall characteristics. Hence, geometrically-distorted models would be used, and the traditional scaling law cannot describe the relationship between the dynamic responses of the prototype and the geometrically-distorted model. In this paper, the scaling law for this case was derived for elastic-ideal plastic thin-walled cylindrical shells under axial impact loading. For strain hardening and strain-rate hardening material, based on the average load, deformation energy, and displacement of the shell in the axisymmetric deformation mode, the dimensionless numbers of three key design parameters, namely the stress, mass, and displacement, were obtained through the law of energy conservation. Then, the optimal approximation of the flow stress predicted by the distorted scaled model to the flow stress of the prototype was established on a given strain and strain rate interval. In this way, the derived scaling law can be applied to the case considering the coupling effects of geometric distortion, strain-rate sensitivity, and strain hardening. Finally, several finite element models of thin-walled cylindrical shell models subject to axial mass impact were established. These models use the elastic-ideal plastic material model and the general material model with strain-rate hardening and strain hardening effects. The modified impact velocity and impact mass were obtained by the present method using the geometrically-distorted model, which verified the effectiveness and correctness of the proposed scaling law. The results show that the geometrically distorted model corrected by the method proposed in this article can quite accurately predict the dynamic responses of the prototype, and significantly reduce the errors in the dynamic responses of the thin-walled cylindrical shell subjected to axial impact loading, especially the average load and deformation energy.
- thin-walled cylindrical shell,
- strain-rate sensitivity,
- strain hardening,
- geometric distortion,
- scaling law

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References(24)

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