炸药爆轰物质点法三维数值模拟  

3D Simulation of Explosive Detonation With the Material Point Method

作　　者：王宇新[1] 李晓杰[1] 王小红[1] 闫鸿浩[1] 孙明[1] 

机构地区：[1]大连理工大学工程力学系,辽宁大连116024

出　　处：《应用数学和力学》2015年第2期198-206,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(10972051;11272081)~~

摘　　要：炸药爆轰以及多点起爆所产生的爆轰波汇聚问题很难应用有限元法进行模拟分析,尤其当网格发生畸变时,导致有限元法计算效率和数值精度严重下降,甚至无法得到正确结果.为此,该文应用显式积分算法的物质点法对炸药两点起爆和按时间序列的多点起爆的爆轰过程进行数值模拟,与炸药爆轰的理论计算结果相吻合.物质点法不但可以有效地避免网格畸变问题,而且为炸药爆轰的数值模拟提供了新的思路.It is difficult to simulate the explosive detonation of multi-lighter points and describe the assembling energy of detonation waves with the existent finite element methods. Particularly,computational efficiency and precision of the finite element methods are limited due to mesh distortion. Therefore,the explosive detonation of 2 lighters and even more lighters was numerically simulated with the material point method based on the explicit integration algorithm,to give results fitting the theoretical solution well. The proposed method not only avoids the re-meshing procedure for distorted elements,but also makes an effective way to the numerical simulation of the explosive detonation.

关 键 词：无网格法 物质点法 爆轰 数值模拟 

分 类 号：O383[理学—流体力学]