一种自适应RKPM方法在动态大变形计算中的验证及应用  

Validation and Application of an Adaptive RKPM on Large Deformation Calculation

作　　者：干年妃[1] 李光耀[1] 

机构地区：[1]湖南大学现代车身技术国家重点实验室,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2006年第4期36-41,共6页Journal of Hunan University:Natural Sciences

基　　金：国家863计划项目(2003AA411230);高等学校博士点专项基金项目(20020532021);教育部优秀青年教师资助计划项目(2002350)

摘　　要：从无网格方法中的插值误差出发,建立一种有效的误差估计模型,在高误差区运用基于全四边形背景积分网格顶点插值的节点加密方案,得到新点的位置坐标.将这些算法应用于无网格再生核质点方法RKPM中,对多孔弹塑性板材拉伸中的剪切带的形成进行了自适应无网格分析,并通过验证数值解精度的通用标准试验(benchmark test)方法验证了该算法的精度及可行性,计算结果表明该算法能大大提高计算精度,并能准确地捕捉到剪切带的分布.Starting from the interpolation error in RKPM, a recovery based error indicator was introduced in the adaptive analysis, the vertex of the quadrilateral used as the background mesh for Gauss integration was employed as the hierarchy for adaptive refinement, and a domain refinement was done on the high error area. Applying all these algorithms to RKPM, the adaptive analysis for the simulation of shear band formation in multihole plane was performed. The accuracy and effectiveness of the adaptive RKPM method were proved through a general benchmark test. Both the example and test results showed that the proposed algorithm could accurately locate the distribution of the shear band and improve the precision of computation.

关 键 词：自适应 通用标准试验 RKPM方法 剪切带 

分 类 号：TG335[金属学及工艺—金属压力加工]