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Jelenic, G. and Crisfield, M.A. (1999) Geometrically Exact 3D Beam Theory: Implementation of a Strain-Invariant Finite Element for Statics and Dynamics. Computer Methods in Applied Mechanics and Engineering, 171, 141-171. https://doi.org/10.1016/S0045-7825(98)00249-7

has been cited by the following article:

• TITLE: Planar Weak Form Quadrature Beam Elements Based on Absolute Nodal Coordinate Formulation: A Structural Mechanics Approach

  AUTHORS: Huayi Li, Hongzhi Zhong

  KEYWORDS: Absolute Nodal Coordinate Formulation, Weak Form Quadrature Element, Geometrically Nonlinear Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.11, November 30, 2022

  ABSTRACT: A planar nonlinear weak form quadrature beam element of arbitrary number of axial nodes is proposed on the basis of the absolute nodal coordinate formulation (ANCF). Elastic forces of the element are established through geometrically exact beam theory, resulting in good consistency with classical beam theory. Two examples with strong geometrical nonlinearity are presented to verify the effec-tiveness of the formulation.