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| Study on the shock Hugoniot relationships of sand considering porosity evolution |
| GAO Fei1, 2, QIU Yan-yu1, 2, WANG Ming-yang1, 2, ZHANG Xian-feng1, CHENG Yi-hao2 |
1. Ministerial Key Laboratory of ZNDY，Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China;
2. State Key Laboratory for Disaster Prevention & Mitigation of Explosion & Impact, PLA University of Science and Technology, Nanjing 210007, China |
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Abstract The effect of porosity evolution to sand shock Hugoniot relationships under dynamic loading was investigated based on the porous and hydrous characteristics of sand. Based on the incompressible hypothesis of sand matrix, a single spherical pore model and generalized Mises strength criterion, the porosity evolution equation of sand was derived; According to the Hugoniot jump condition and Grüneisen-type equation, the equation of state considering porosity dynamic compaction was given; The shock adiabatic curves for sand matrix, dry sand and moist sand were obtained by using the mixture relationships of the shock wave and porosity evolution equation of state. Results show that the calculated shock adiabatic curves for sand are agree well with the available experimental data in the literature, and the model can accurately reflect the dynamic response of sand under dynamic loading.
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Received: 26 January 2016
Published: 28 August 2017
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