基于Lagrange及SPH算法的花岗岩侵彻数值模拟  

Numerical Simulation of Granite Penetration Based on Lagrange and SPH Algorithm

作　　者：靳绍虎 刘科伟[1] 黄进 杨家彩[1] 靳少博 JIN Shaohu;LIU Kewei;HUANG Jin;YANG Jiacai;JIN Shaobo(School of Resources and Safety Engineering,Central South University,Changsha 410083,Hunan,China)

机构地区：[1]中南大学资源与安全工程学院,湖南长沙410083

出　　处：《高压物理学报》2021年第5期143-155,共13页Chinese Journal of High Pressure Physics

基　　金：湖南省自然科学基金(2018JJ3656)。

摘　　要：为研究不同算法对弹体侵彻花岗岩模拟的影响,基于仿真分析软件LS-DYNA中的Lagrange算法及SPH(Smooth particle hydrodynamics)算法,采用Lagrange、SPH-Lagrange耦合及SPH算法分别对弹体侵彻、贯穿花岗岩靶体进行数值模拟,并从计算效率、侵彻深度、速度衰减、靶体损伤、Mises应力分布多方面对比模拟结果,分析3种算法用于研究岩石侵彻问题的优势和不足。研究表明:Lagrange算法的计算效率最高,计算精度高,但存在单元畸变、无撞击溅射、无后坑区等问题;SPH算法的计算效率最低,但模拟效果良好;SPH-Lagrange耦合算法兼具二者优势,但会导致应力滞后和应力波不稳定衰减。在大型模拟中应优先选用Lagrange算法和SPH-Lagrange耦合算法。To study the influence of different algorithms on penetration simulations of granite target subjected to projectile,Lagrange,SPH-Lagrange coupling and SPH(smooth particle hydrodynamics)algorithms are used for penetration simulations,based on Lagrange and SPH algorithms within LS-DYNA software.By comparing the numerical results through calculation efficiency,penetration depth,velocity attenuation,target damage and Mises stress distribution,the advantages and disadvantages of three algorithms are obtained.The results show that:Lagrange algorithm has the highest calculation efficiency and accuracy,but it has some problems such as element distortion,no impact sputtering,and no back-pit area.Although SPH algorithm has the lowest calculation efficiency,the calculated target damage is basically consistent with experiment.SPH-Lagrange coupling algorithm has both advantages,but it can produce stress hysteresis and unstable stress wave attenuation.Lagrange and SPH-Lagrange coupling algorithms are preferred in large-scale simulation.

关 键 词：弹体侵彻 花岗岩靶体 Lagrange算法 SPH-Lagrange耦合算法 SPH算法 

分 类 号：O347[理学—固体力学]