Study on the shock Hugoniot relationships of sand considering porosity evolution

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (17) : 134-140.

GAO Fei1, 2, QIU Yan-yu1, 2, WANG Ming-yang1, 2, ZHANG Xian-feng1, CHENG Yi-hao2

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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.

Key words

sand / porosity evolution / Grüneisen-type equation of state / shock Hugoniot relationship

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GAO Fei1, 2, QIU Yan-yu1, 2, WANG Ming-yang1, 2, ZHANG Xian-feng1, CHENG Yi-hao2. Study on the shock Hugoniot relationships of sand considering porosity evolution[J]. Journal of Vibration and Shock, 2017, 36(17): 134-140

References

[1] Brown J L, Vogler T J, Grady D E, et al. Dynamic compaction of sand[C]// American Institute of Physics Conference Proceedings. American Institute of Physics, 2007, 1363-1366.
[2] 周健, 池永. 砂土力学性质的细观模拟[J]. 岩土力学, 2003, 24(6): 901-906.
ZHOU Jian, CHI Yong. Mesomechanical simulation of sand mechanical properties[J]. Rock and Soil Mechanics, 2003, 24(6): 901-906.
[3] 蔡正银, 李相菘. 砂土的剪胀理论及其本构模型的发展[J]. 岩土工程学报, 2007, 29(8): 1122-1128.
CAI Zheng-yin, LI Xiang-song. Development of dilatancy theory and constitutive model of sand[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(8): 1122-1128.
[4] 常在, 杨军, 程晓辉. 砂土强度和剪胀性的颗粒力学分析[J]. 工程力学, 2010, 27(4): 95-104.
CHANG Zai, YANG Jun, CHENG Xiao-hui. Granular mechanical analysis of the strength and dilatancy of sands[J]. Engineering mechanics, 2010, 27(4): 95-104.
[5] 李学丰, 黄茂松, 钱建固. 宏细观结合的砂土各向异性破坏准则[J]. 岩石力学与工程学报, 2010, 29(9): 1885-1892.
LI Xue-feng, HUANG Mao-song, QIAN Jian-gu. Failure criterion of anisotropic sand with method of macro-meso incorporation[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(9): 1885-1892.
[6] 张建民. 砂土动力学若干基本理论探究[J]. 岩土工程学报, 2012, 34(1): 1-50.
ZHANG Jian-min. New advances in basic theories of sand dynamics[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(1): 1-50.
[7] Martin B E, Chen Weinong, Song Bo, et al. Moisture effects on the high strain-rate behavior of sand[J]. Mechanics of Materials, 2009, 41: 786-798.
[8] Proud W G, Chapman D J, Williamson D M, et al. The dynamic compaction of sand and related porous systems[C]// American Institute of Physics Conference Proceedings. American Institute of Physics, 2007, 1403-1408.
[9] Borg J P, Cogar J R, Lloyd A, et al. Computational simulations of the dynamic compaction of porous media[J]. International Journal of Impact Engineering, 2006, 33: 109-118.
[10] Carroll M M, Holt A C. Static and dynamic porecollapse relations for ductile porous materials[J]. Journal of Applied Physics, 1972, 43(4): 1626-1636.
[11] Carroll M M, Holt A C. Suggested modification of the Pα model for porous materials[J]. Journal of Applied Physics, 1972, 43(2): 759-761.
[12] Herrmann W. Constitutive equation for the dynamic compaction of ductile porous materials[J]. Journal of Applied Physics, 1969, 40(6): 2490-2499.
[13] Jutzi M, Benz W, Michel P. Numerical simulations of impacts involving porous bodies: I. Implementing sub-resolution porosity in a 3D SPH Hydrocode[J]. ICARUS, 2008, 198: 242-255.
[14] Borg J P, Morrissey M P, Perich C A, et al. In situ velocity and stress characterization of a projectile penetrating a sand target: experimental measurements and continuum simulations[J]. International Journal of Impact Engineering, 2013, 51: 23-35.
[15] 经福谦. 实验物态方程导引[M]. 北京: 科学出版社, 1986.
[16] 戚承志, 钱七虎. 岩体动力变形与破坏的基本问题[M]. 北京: 科学出版社, 2009.
[17] Belov N N, Kopanitsa D G, Kumpyak O G, et al. Calculation of reinforced-concrete structures for explosive and impact loads[M]. (in Russian), STT, Northampton, Tomsk, 2004.
[18] Белов Н Н, Югов Н Т, Афанасьева С А, et al. Исследование процессов деформирования и разрушения хрупких материалов[J]. Механика композиционных материалов и конструкций, 2001, 7(2): 131-142.