Finite Element theory for Curved and Twisted Beams on Basis Exact Solutions for Three-Dimensional Solids. Part 1. Beam Concept and Geometrically Exact Nonlinear Formulation.
A geometrically exact and completely consistent finite element theory for curved and twisted beams is proposed. It is based on the kinematical hypotesis generally formulated for large deformation and accounts for all kinds of deformation of a three-dimensional solid: translational and rotational displacements of the cross-sections, warping of their plane and distortion of their contours. The principle of virtual work is applied in a straightforward manner to all non-zero six components of the strain and stress tensors.
PETROV E.;
GERADIN Michel;
1997-12-19
JRC15867
https://publications.jrc.ec.europa.eu/repository/handle/JRC15867,
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