Mr. Li, THE FINITE DEFORMATION-THEORY FOR BEAM, PLATE AND SHELL .1. THE 2-DIMENSIONAL BEAM THEORY, Computer methods in applied mechanics and engineering, 146(1-2), 1997, pp. 53-63
A finite deformation theory is proposed that can describe precisely, t
he nonlinear geometric behavior of a two-dimensional beam structure. U
nlike the existing nonlinear theories, this theory does away with simp
lifications such as the assumptions of small displacement, small norma
l or shearing strain, small rotation, as well as small loading step. T
he finite element method and its formulation of this theory are deduce
d. Numerical examples performed by the theory proved it valid and comp
uted results obtained by the theory are independent of loading steps.