二次元応力集中問題有限要素解の誤差評価と要素再分割

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  • A posteriori error estimation and mesh refinement for two-dimensional elastic problems with stress singularity.
  • 2ジゲン オウリョク シュウチュウ モンダイ ユウゲン ヨウソ カイ ノ ゴサ

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The accuracy of a solution obtained from a finite element analysis is deeply dependent on a mesh used in computation. Hence, it is desirable to understand how much error exists in the finite element solutions. The present paper discusses a posteriori error estimation based on finite element solutions. Since a higher order term of one degree higher than the original finite element analysis dominates the error field, an 8-node element is utilized to estimate error in the 4-node finite element model. A large memory or long computing time is not necessary because element by element computation is utilized. After estimating the error in the finite element solutions, we can use the error in two ways. One is that adaptive meshes for the subsequent stress analysis are decided based on the error distribution. The other is that the finite element solutions are improved by adding the estimated errors to the original solutions Some numerical investigations are performed in order to examine the validity of the method.

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