Dual Pulse Wave Structure of Elastic Stress Waves and Plate Impact Verification

LIU Zhanfang; GUO Yuan; TANG Shaoqiang; HUANG Xinjia; ZHUANG Zhuo

doi:10.21656/1000-0887.380324

Volume 39 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(3): 249-265

GUO Ding-he, WU Xue-mou, FENG Xiang-jun, LI Yong-li. Pansystems Analysis:Mathematics, Methodology, Relativity and Dialectical Thinking[J]. Applied Mathematics and Mechanics, 2001, 22(2): 206-220.

Citation:

LIU Zhanfang, GUO Yuan, TANG Shaoqiang, HUANG Xinjia, ZHUANG Zhuo. Dual Pulse Wave Structure of Elastic Stress Waves and Plate Impact Verification[J]. Applied Mathematics and Mechanics, 2018, 39(3): 249-265. doi: 10.21656/1000-0887.380324

GUO Ding-he, WU Xue-mou, FENG Xiang-jun, LI Yong-li. Pansystems Analysis:Mathematics, Methodology, Relativity and Dialectical Thinking[J]. Applied Mathematics and Mechanics, 2001, 22(2): 206-220.

Citation:

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Dual Pulse Wave Structure of Elastic Stress Waves and Plate Impact Verification

doi: 10.21656/1000-0887.380324

¹College of Aerospace Engineering, Chongqing University, Chongqing 400044, P.R.China;²College of Engineering, Peking University, Beijing 100871, P.R.China;³School of Aerospace Engineering, Tsinghua University, Beijing 100084, P.R.China

Funds: The National Natural Science Foundation of China（11372365；11072276；11176035）

Received Date: 2017-12-15
Rev Recd Date: 2018-01-09
Publish Date: 2018-03-15

Abstract

Abstract

A revised elastic stress wave theory was proposed. The existent theory of elastic stress waves has some deficiencies in aspects of rotational deformation as well as its corresponding internal force, and wave equations, etc. It was revealed that there exist both volumetric waves and deviatoric waves in elastic solids, the volumetric wave travels independently but the deviatoric wave is influenced by the volumetric wave, and them 2 form a weakly coupled wave system. An impacted plate should be treated as a 3D strain system other than a 1D one. In plate impact tests, the 2 wave variables remained 2ndorder tensors but the independent variable was simplified as a volumetric strain plus a principal deviatoric strain, consequently the wave equations were simplified as 2 weakly coupled wave equations. The interface effects of stress waves involved generation of stress waves on the impact surface and reflection of stress waves on the free surface. Relationships between the boundary conditions and the wave variables on the impact surface and the free surface were established. In the numerical tests, the volumetric and deviatoric waves were simultaneously generated on the impact surface, but the volumetric wave and a part of the deviatoric wave constituted a composite pulse propagating at a faster speed, and the rest of the deviatoric wave made a deviatoric pulse traveling at a slower speed. Both the 2 incident pulses on the free surface were reflected respectively to produce a composite pulse and a deviatoric pulse again, which meant 4 reflected pulses were generated. The dual pulse structure of stress waves may explain very well the recompressive phenomenon of the free surface velocity curves of plate specimens under plate impact. Recompressive signals measured on 10 alumina plate specimens of different thicknesses verify the theoretical prediction of the deviatoric pulse.
- volumetric wave,
- deviatoric wave,
- weakly coupled stress wave,
- composite pulse,
- deviatoric pulse,
- plate impact test

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References

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