Structural Engineering and Mechanics

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Towards improving finite element solutions automatically with enriched 2D solid elements

  • Lee, Chaemin (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology) ;
  • Kim, San (Department of Mechanical Convergence Engineering, Gyeongsang National University)
  • Received : 2020.06.07
  • Accepted : 2020.07.06
  • Published : 2020.11.10
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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.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF-2020R1G1A1006911). This work was also supported by "Human Resources Program in Energy Technology" of the Korea Institute of Energy Technology Evaluation and Planning (KETEP), granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No. 20184030202000). Prof. Phill-Seung Lee (Korea Advanced Institute of Science and Technology) is kindly acknowledged for his valuable comments on improving the manuscript.

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