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Structural Engineering and Mechanics Volume 76, Number 3, November10 2020 , pages 379-393 DOI: https://doi.org/10.12989/sem.2020.76.3.379 |
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Towards improving finite element solutions automatically with enriched 2D solid elements |
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Chaemin Lee and San Kim
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| Abstract | ||
| In this paper, we propose an automatic procedure to improve the accuracy of finite element solutions using enriched 2D solid finite elements (4-node quadrilateral and 3-node triangular elements). The enriched elements can improve solution accuracy without mesh refinement by adding cover functions to the displacement interpolation of the standard elements. The enrichment scheme is more effective when used adaptively for areas with insufficient accuracy rather than the entire model. For given meshes, an error for each node is estimated, and then proper degrees of cover functions are applied to the selected nodes. A new error estimation method and cover function selection scheme are devised for the proposed adaptive enrichment scheme. Herein, we demonstrate the proposed enrichment scheme through several 2D problems. | ||
| Key Words | ||
| finite element method; enriched finite element; solution accuracy; mesh refinement; cover function; enrichment of interpolation | ||
| Address | ||
| Chaemin Lee: Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea San Kim: Department of Mechanical Convergence Engineering, Gyeongsang National University, 54, Charyong-ro 48beon-gil, Uichang-gu, Changwon-si, Gyeongsangnam-do 51391, Republic of Korea | ||