基于孔隙演化的砂土冲击绝热关系研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (17) : 134-140.

论文

基于孔隙演化的砂土冲击绝热关系研究

高飞，2，邱艳宇1，2，王明洋1，2，张先锋1，程怡豪2

作者信息 +

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

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文章历史 +

摘要

基于砂土多孔、含水的特性，对动载荷作用下孔隙演化对砂土冲击绝热关系的影响进行了研究。基于砂土基体的不可压缩假设，采用单个球形气孔等效模型和广义Mises屈服准则推导了砂土考虑孔隙压实的演化方程；根据冲击Hugoniot突跃条件和Grüneisen型方程，获得了砂土考虑孔隙演化的状态方程；根据混合物冲击波关系和孔隙演化状态方程，获得了砂土基体材料冲击绝热关系、干砂土和湿砂土冲击绝热关系，并与已有实验结果进行了对比。结果表明：计算得到的绝热线与实验数据吻合较好，该孔隙演化状态方程能够较为准确的反映动载作用下砂土的动态响应过程。

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.

导出引用

高飞,2，邱艳宇1，2，王明洋1，2，张先锋1，程怡豪2. 基于孔隙演化的砂土冲击绝热关系研究[J]. 振动与冲击, 2017, 36(17): 134-140

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

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