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Towards improving the self-updated four-node finite element
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DOI：10.1016/j.compstruc.2025.108014.png)
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Abstract
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Recently, the self-updated finite element proposed by Jung et al. (2022) was developed to improve the solution accuracy of the four-node solid finite element using an iterative solution procedure. The stiffness matrices of the self-updated finite element are iteratively updated using optimal bending modes through the iterative procedure to minimize shear locking. Excellent performance of the self-updated finite element was shown in various numerical examples, even with coarse and highly distorted meshes. However, a critical issue was subsequently observed: the numerical accuracy deteriorated under some combined loading conditions, which originated from the iterative solution procedure. To overcome this issue, a new iterative solution procedure is proposed using a load decomposition strategy, in which the external load is decomposed into bending-induced and the remaining parts. The new self-updated finite element passes the patch and zero-energy mode tests. The improved performance of the new self-updated finite element is demonstrated through several numerical examples.
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