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Fig. 32. Deformed shapes of the cantilever beam subjected to a tip moment obtained using (a) a 20 × 2 mesh of the standard 4-node quadrilateral elements, (b) a 20 × 2 mesh of the strain-smoothed 4-node quadrilateral elements and (c) a 40 × 4 mesh of the standard 9-node quadrilateral elements (reference).
FROM:
Chaemin Lee (1), San Kim (1,2) and Phill-Seung Lee (1)
(1) Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea
(2) Department of Mechanical Convergence Engineering, Gyeongsang National University, 54, Charyong-ro 48beon-gil, Uichang-gu, Changwon-si, Gyeongsangnam-do 51391, Republic of Korea
“The strain-smoothed 4-node quadrilateral finite element”, Computer Methods in Applied Mechanics and Engineering, Vol. 373, Article 113481, 1 January 2021, https://doi.org/10.1016/j.cma.2020.113481
ABSTRACT: Recently, the strain-smoothed element (SSE) method has been developed for 3-node triangular and 4-node tetrahedral solid elements. The method was also applied for enhancing the membrane performance of a 3-node triangular shell element (MITC3+ element). Using the SSE method, convergence behaviors of the finite elements were significantly improved without additional degrees of freedom. However, the application of the SSE method is limited to constant strain finite elements such as 3-node triangular and 4-node tetrahedral elements. In this paper, the SSE method is applied to a 4-node quadrilateral finite element. Doing so, the piecewise linear shape functions are employed instead of standard bilinear shape functions. The proposed strain-smoothed 4-node quadrilateral element passes all the basic tests, and shows a significantly improved accuracy in various numerical examples.
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