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Structural Engineering and Mechanics Volume 95, Number 2, July25 2025 , pages 91-100 DOI: https://doi.org/10.12989/sem.2025.95.2.091 |
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A simplified mode-based error estimation for plane stress/strain problems |
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Seunghwan Park and Jaeho Jung
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| Abstract | ||
| The recently developed mode-based posteriori error estimation (Jung et al. 2022) exhibits excellent predictive capability as an error estimator. However, since its implementation requires trained network through deep learning, we focus on a simple mode-based error estimator for general use, without the network. In this paper, we propose a new posteriori error estimation using the simplified mode-based finite element formulation for the analysis of plane stress and plane strain problems. The proposed posteriori error estimation simply predicts an error calculated by the difference between the direct and recovered solutions of finite element analysis (FEA). To simply calculate the accurate recovered solution, geometry dependent bending modes and volumetric locking treatment are adopted. We demonstrate the predictive performance of the proposed error estimator through various numerical examples with 4-node finite elements. | ||
| Key Words | ||
| 4-node finite element; bending mode; finite element analysis; mode-based formulation; plane stress and plane strain problems; posteriori error estimation | ||
| Address | ||
| Seunghwan Park: Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea Jaeho Jung: School of Mechanical Engineering, Chungbuk National University, 1 Chungdae-ro, Seowon-Gu, Chungbuk 28644, Republic of Korea | ||