基于无网格局部Petrov-Galerkin方法的h型自适应分析  

h-adaptive Analysis Based on the Meshless Local Petrov-Galerkin Method

作　　者：龙述尧[1] 邬昭平[1] 

机构地区：[1]湖南大学力学与航空航天学院,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2009年第1期68-71,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10672055)

摘　　要：基于无网格局部Petrov-Galerkin方法进行了h型自适应分析.在进行自适应分析时以Von Mises等效应力作为应力高梯度判据,以最小节点允许距离作为应力高梯度区域加密方案.基于无网格局部Petrov-Galerkin方法实现了对二维线弹性平面问题的h型自适应分析.数值算例表明,基于无网格局部Petrov-Galerkin方法的h型自适应分析具有较好的稳定性和收敛性.An h-adaptive analysis based on the meshless local Petrov-Galerkin method was presented. In the adaptive analysis, Von Mises effective stress was used as the high gradient criterion of the adaptive analysis, the minimum distance between nodes was considered a scheme for node refinement in the high gradient area. The h- adaptive analysis for 2-D linear elastic plane problem was studied. A numerical example showed the adaptive analysis based on the meshless local Petrov-Galerkin method had good stability and convergence.

关 键 词：无网格局部Petrov—Galerkin方法 自适应 高梯度 Von Mises等效应力 

分 类 号：O302[理学—力学]