[논문]The strain-smoothed 4-node quadrilateral finite element

Lee, Chaemin; Kim, San; Lee, Phill-Seung

doi:10.1016/j.cma.2020.113481

[해외논문] The strain-smoothed 4-node quadrilateral finite element

Computer methods in applied mechanics and engineering, v.373, 2021년, pp.113481 -

Lee, Chaemin (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology) , Kim, San (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology) , Lee, Phill-Seung (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology)

Abstract ▼ AI-Helper

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. Highlights The strain-smoothed 4-node quadrilateral finite element is developed. Piecewise linear shape functions are employed instead of standard bilinear shape functions. It shows improved predictive capability without using additional DOFs.

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