光滑质点流体动力学方法中断裂准则的引入  

ADOPTION OF FRACTURE CRITERION IN SMOOTHED PARTICLE HYDRODYNAMICS METHOD

作　　者：陈刘定[1,2] 童小燕[1] 陈昊[1,2] 郑翔[1,2] 程起有[1,2] 姚磊江[1] 

机构地区：[1]西北工业大学无人机特种技术国防科技重点实验室,西安710065 [2]西北工业大学航空学院,西安710072

出　　处：《机械强度》2010年第4期666-669,共4页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目(10702054)~~

摘　　要：基于Delaunay三角剖分及其对偶形式最近点意义下的Voronoi图,提出一种粒子产生和消除技术解决光滑质点流体动力学方法中的数值断裂问题。以此技术为基础,利用光滑质点流体动力学方法的"核函数归一化特性"对粒子携带的应力重新进行分配,进而引入断裂准则最终解决数值模拟中材料出现断裂破坏的理论依据问题。通过典型数值算例的模拟分析并与实验进行对比,结果表明,提出的粒子产生和消除技术对解决数值断裂问题是有效的;引入断裂准则使材料断裂破坏受到理论的约束与指导;与加入断裂准则前相比,程序计算结果在靶板变形区直径、深度和弹丸剩余速度三个重要指标上与实验结果具有更好的一致性。Based on Delaunay triangulations and Voronoi diagram, a novel technique of particle generation and elimination used to solve the problem of numerical fracture in smoothed particle hydrodynamics method was proposed. On the basis of this technique, according to the kernel function normalization characteristics of smoothed particle hydrodynamics method, stresses carried by particles were redistributed. And then fracture criterion was implemented into the computational programme finally to make the fracture of material occur reasonably. Typical numerical examples were performed, analysed anti one of them was made particularly to contrast with experiments. The results show that, the proposed methodology solves the numerical fracture problem effectively. For the adopting of fracture criterion, not only the fracture of material is reasonable and controlled, but also the diameter, depth of deformation region and residual velocity of numerical results compared with the results without fracture criterion have better agreement with experimental results, respectively.

关 键 词：光滑质点流体动力学 数值模拟 数值断裂 断裂准则 

分 类 号：O347.3[理学—固体力学] TB115[理学—力学]