A Solution Procedure to Improve 3D Solid Finite Element Analysis with an Enrichment Scheme
Source abstract
Abstract
This paper presents a novel and efficient solution procedure to improve 3D solid finite element analysis with an enrichment scheme. To this end, we employ finite elements enriched by polynomial cover functions, which can expand their solution space without requiring mesh refinement or additional nodes. To facilitate this solution procedure, an error estimation method and cover function selection scheme for 3D solid finite element analysis are developed. This enables the identification of nodes with suboptimal solution accuracy, allowing for the adaptive application of cover functions in a systematic and efficient manner. Furthermore, a significant advantage of this procedure is its consistency, achieved by excluding arbitrary coefficients from the formulations employed. The effectiveness of the proposed procedure is demonstrated through several numerical examples. In the majority of the examples, it is observed that the stress prediction error is reduced by more than half after applying the proposed procedure.
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Research context
OpenAlex topics: Numerical methods in engineering · Advanced Numerical Methods in Computational Mathematics · Advanced Numerical Analysis Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Safety Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea
Department of Mechanical Engineering, Gyeongsang National University, Jinju 52828, Republic of Korea
School of Mechanical Engineering, ERI, Gyeongsang National University, Jinju 52828, Republic of Korea
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
Department of Mechanical Convergence Engineering, Gyeongsang National University, Changwon 51391, Republic of Korea
Funding
National Research Foundation of Korea (NRF) · Korea Institute for Advancement of Technology (KIAT)
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