要素境界での平衡方程式の残差に基づく誤差評価と三次元アダプティブ有限要素解析

概要

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We have developed an error estimation technique for tetrahedral quadratic elements in a 3-dimensional structural analysis system. The technique is based on estimating the traction jump at element boundaries, where the exact traction force is continuous. The global error and element wise errors are defined in the same way as in the Z-Z (Zienkiewicz and Zhu) method except that average traction and traction jumps are weighted by the volume of each element. We also included an adaptive procedure which uses the error estimator in this analysis system for generating optimized meshes. We test this system on a simple problem, an infinite body with a spherical cavity under uniform tension, to examine the accuracy of this error estimator. Another example, a centrifuge rotor subjected to centrifugal force is presented to validate the practical use of this adaptive procedure.
社団法人日本機械学会の論文
1996-07-25