有限要素法における応力平滑化法の精度について

概要

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Smoothing methods to improve accuracy of the stress distribution obtained by Finite Element Method using constant strain triangles are proposed. The accuracy of obtained stresses along boundaries of a domain, implemented by simple averages of stresses of the adjoined elements having a common node, is generally known as it is lower than those of internal ones. Author proposed a method furnishing more accurate stresses on the boundary of the domain. This method using nodal forces is also possible to effectively adapt to the shape optimaization problem through the process of calculation. This paper presents also a smoothing method by means of the regression of plane of stresses which approximate stressess in the domain formed by the triangular elements that hold in a common nodal point. But the stress values obtained by FEM is assumed as the stress values at the center of gravity of each triangular element. Those smoothing methods are investigated through the dependency of improvements of the accuracy on the pattern of generated meshes and mesh sizes for applied examples.
社団法人日本船舶海洋工学会の論文
1994-03-29