考虑含水率干密度的土壤动态球形空腔膨胀理论

为研究土壤含水率、干密度对弹体侵彻阻力的影响，通过引入含水率及干密度对土壤摩尔-库伦屈服条件进行修正，完成材料的动态球形空腔膨胀理论推导，获得考虑含水率及干密度的靶体阻力函数. 在此基础上对文献中的实验进行计算，并与实验数据及其他经验公式计算结果进行对比和分析. 结果表明，侵彻过程中材料空腔表面径向应力会随着含水率的增加而降低，随干密度的增加而增高；与经验公式及其他模型计算结果相比，考虑含水率干密度的计算模型具有更好的预测精度，可用于低速侵彻土壤的侵深计算. 

Dynamic Spherical Cavity Expansion Theory of Soil Considering Moisture Content and Dry Density

In order to study the influence of soil moisture content and dry density on the penetration resistance of the projectile, the Mohr-Coulomb yield condition of soil was modified by introducing moisture content and dry density, the dynamic spherical cavity expansion theory of material was deduced, and the target resistance function was obtained. Based on this, experiment data in existing research were calculated, and they were and compared with the data in this experiment and other empirical formulas. The results show that the radial stress decreases with the increase of water content and increases with the increase of dry density in the process of penetration; compared with the results of empirical formulas and other models, the calculation model considering the dry density of water content has better prediction accuracy and can be used for the calculation of penetration depth of low-speed penetration soil.