Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids Part 1: Beam concept and geometrically exact nonlinear formulation-Reference-Cited by-同舟云学术

Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids Part 1: Beam concept and geometrically exact nonlinear formulation

Published:1998-11 Issue:1-4 Volume:165 Page:43-92
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Petrov E.,Géradin M.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference33 articles.

1. On large displacements-small strain analysis of structures with rotational degrees of freedom;Argyris;Comput. Methods Appl. Mech Engrg,1978

2. Nonlinear finite element analysis of elastic system under nonconservative loading—natural formulation. Part 1. Quasistatic problems;Argyris;Comput. Methods Appl. Mech. Engrg.,1981

3. Finite element formulations for large deformation dynamic analysis;Bathe;Int. J. Numer. Methods Engrg.,1975

4. Large displacement analysis of three-dimensional beam structures;Bathe;Int. J. Numer. Methods Engrg.,1979

5. An intrinsic beam model based on a helicoidal approximation—Part 1: Formulation;Borri;Int. J. Numer. Methods Engrg.,1994

Cited by 75 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A strain gradient quadrature element for geometrically exact beam with torsion warping;Thin-Walled Structures;2024-04

2. A new exhaustive semi-analytical method to calculate stress distribution on the surface of a curved beam with circular cross section, with an application to helical compression springs;European Journal of Mechanics - A/Solids;2024-01

3. A mechanics model of hard-magnetic soft rod with deformable cross-section under three-dimensional large deformation;International Journal of Solids and Structures;2023-09

4. On non-uniform plastic torsion of steel I-section cantilevers;Thin-Walled Structures;2023-06

5. A Geometrically Exact Beam Finite Element for Non-Prismatic Strip Beams: Linearized Lateral-Torsional Stability;International Journal of Structural Stability and Dynamics;2023-02-08