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一、问题的提出用八节点等参有限单元法计算结构应力时,应力最佳点在单元内的高斯积分点上(一般为四个,因采用3×3高斯积分点是没有必要的)而不在单元边界上;然而工程实践中往往更加关心某些区域边界上的应力情况,为了消除单元邻边上所出现的应力跳跃现象,文〔1〕介绍了单元角点应力修匀的计算,采用绕节点平均的方法来达到整个区域上的角点修匀应力。文〔2〕则进一步提出一种按最小二乘法原则求解整个区域或某一局部区域上的修匀应力方程组,得出整体的角点修
I. PROBLEM PROBLEMS When the structural stress is calculated by the isoparametric finite element method of the eight-node model, the stress best point is on the Gaussian integration points in the cell (generally, four are not necessary because the 3 × 3 Gauss integration points are used) However, engineering practice tends to pay more attention to the stress conditions on the boundary of some areas. In order to eliminate the stress jump phenomenon appearing on the adjacent edge of the unit, Wen [1] introduced the calculation of the stress uniformity of the unit corner, Around the node average method to achieve the corner of the entire region to smooth the stress. Wen 〔2〕 is further proposed by the principle of least squares method to solve the entire region or a local area of uniform stress equations, draw the overall corner repair