H.Y. Wen
,
X.H. Dong
金属学报(英文版)
A meshfree method based on reproducing kernel approximation and point collocation is presented for analysis of metal ring compression. The point collocation method is a true meshfree method without the employment of a background mesh. It is shown that, in a point collocation approach, the remesh problem because of the mesh distortion in FEM (finite element method) and the low efficiency in Galerkin-based meshfree method are avoided. The corrected kernel functions are introduced to the stabilization of free-surface boundary conditions. The solution of symmetric ring compression problem is compared with a conventional finite element solution, and reasonable results have been obtained.
关键词:
meshfree method
,
重构核近似
,
配点法
,
金属成形
,
接触
张宏涛
,
朱建明
,
徐秉业
金属世界
doi:10.3969/j.issn.1000-6826.2009.z1.002
结构极限分析是塑性力学的一个分支,在结构及机械设计中有广泛的应用.由于工程应用中受各种因素的影响,使得结构存在各种各样的缺陷.对该类结构进行极限分析研究,能反映结构的实际安全程度,而且能充分利用材料塑性性能的潜力.本文利用权余法中的配点法和子域法,结合塑性极限分析理论对含缺陷板和含缺陷圆柱壳结构进行了承载能力分析,得到了一些有意义的结果.
关键词:
极限分析
,
权余法
,
缺陷结构
,
配点法
,
子域法