Numerical Study on Critical Wedge Angle of Cellular Detonation Reflections

The critical wedge angle （CWA） for the transition from regular reflection （RR） to Mach reflection （MR） of a cellular detonation wave is studied numerically by an improved space-time conservation element and solution element method together with a two-step chemical reaction model. The accuracy of that numerical way is verified by simulating cellular detonation reflections at a 19.3° wedge. The planar and cellular detonation reflections over 45°-55° wedges are also simulated. When the cellular detonation wave is over a 50° wedge, numerical results show a new phenomenon that RR and MR occur alternately. The transition process between RR and MR is investigated with the local pressure contours. Numerical analysis shows that the cellular structure is the essential reason for the new phenomenon and the CWA of detonation reflection is not a certain angle but an angle range.     

Mechanism of Explosive Technique on Relieving Welding Residual Stresses

The complex physical process of welding residual stress relieving by means of explosive technique is studied experimentally and numerically. The experiments are carried out in welded 16 MnR steel plates. In the numerical simulations, the explicit dynamic finite element method is adopted. The results from experiments and computations are consistent with each other. The mechanism of this technique is explained by considering the effect of stress wave reflection and superposition on the redistribution of stresses in this process. Based on the above studies, some advises and parameters are provided to practical applications of this technique.     

非对称稀疏线性方程组的快速外存解法及其在无网格法计算中的应用

针对局部Petrov-Galerkin无网格法(MLPG)等无网格方法的计算所产生的大型非对称稀疏线性方程组,介绍了一种新的直接解法．与一般非对称求解过程不同,该解法从现有的对称正定解法中演变出来,其分解过程在矩阵的上、下三角阵中对称进行．新的矩阵分解算法可以通过修改对称矩阵分解算法的代码来实现,这提供了从对称解法到非对称解法的快捷转换．还针对MLGP法以及有限元法所产生的方程组开发了多块外存算法(multi-blocked out-of-core strategy)来扩大求解规模．测试结果证明该方法大幅度提高了大型非对称稀疏线性方程组的求解速度．     

气相爆炸流场中TiO_2纳米颗粒生长的数值分析初探

气相爆炸制备TiO2纳米颗粒的实验成果在近年来多有报道,但对颗粒成长的模拟尚不多见。引入一种气溶胶的单分散性物理模型(Kruis模型),将其应用于气相爆炸流场中TiO2纳米颗粒生长的数值模拟,结合气相爆炸制备实验进行对比分析。结果表明,通过控制前驱体反应组分,气相爆轰合成了直径范围为20~150nm的球形TiO2纳米颗粒。数值模拟得到的颗粒大小与实验观测结果基本一致。影响纳米颗粒生长的主要因素包括反应温度、颗粒浓度及反应时间。     

离散元法在求解三维冲击动力学问题中的应用

提出了三维连结型离散模型,建立了可实现连结型模型(用于连续介质)-接触型模型(用于非连续介质)转化的三维离散元计算程序,用来模拟连续介质转变为非连续介质的力学过程．利用该计算程序对冲击载荷下混凝土块体内(连续体情况下)的应力波传播过程进行了数值模拟．将计算结果的数值与LS-DYNA程序计算的结果进行比较,验证了该计算程序的计算精度．在此基础上,模拟了混凝土块体的动态破坏(连续介质向非连续介质转化)过程．其计算结果可用动画显示,得到的破坏形式与由实验得到的破坏形式相近．两个算例说明该离散元模型及其计算程序是模拟计算伴随有连续介质向非连续介质转变的动态破坏问题的有力工具．     

区域脉冲载荷下二维Lamb问题的精确求解

采用积分变换方法,并利用两类积分公式克服反变换求解的困难,求得了区域脉冲载荷下一个二维Lamb问题的代数形式的精确解.基于该分段函数形式的代数结果,纵波、横波、Rayleigh曲波等应力波成分在弹性表面的激发和传播过程得到详尽分析,其中很多结论是已有的解析积分结果或者数值计算结果不曾得到的.