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- W4210512172 abstract "The variable-length arbitrary Lagrange-Euler (ALE)-ANCF finite element, which employ nonrational interpolating polynomials, cannot exactly describe the rational cubic Bezier curves such as conic and circular curves. The rational absolute nodal coordinate formulation (RANCF) finite element, whose reference length (undeformed length) is constant, can exactly represent the rational cubic Bezier curves. A new variable-length finite element called the ALE-RANCF finite element, which is capable of accurately describe the rational cubic Bezier curves, is proposed by combining the desirable features of the ALE-ANCF and RANCF finite element. In order to control the reference length of ALE-RANCF element within a suitable range, element segmentation and merging schemes are proposed. It is demonstrated that exact geometry and mechanic is maintained after the ALE-RANCF element is divided into two shorter ones, and compared with the ALE-ANCF elements, there are smaller deviations and oscillations after two ALE-RANCF elements are merged into a longer one. Numerical examples are presented and the feasibility and advantages of the ALE-RANCF finite element are demonstrated." @default.
- W4210512172 created "2022-02-08" @default.
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- W4210512172 creator A5081453397 @default.
- W4210512172 date "2022-01-27" @default.
- W4210512172 modified "2023-10-18" @default.
- W4210512172 title "A Variable-length Rational Finite Element Based On The Absolute Nodal Coordinate Formulation" @default.
- W4210512172 doi "https://doi.org/10.20944/preprints202201.0412.v1" @default.
- W4210512172 hasPublicationYear "2022" @default.
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