Ad. Lanzo et G. Garcea, KOITERS ANALYSIS OF THIN-WALLED STRUCTURES BY A FINITE-ELEMENT APPROACH, International journal for numerical methods in engineering, 39(17), 1996, pp. 3007-3031
This paper refers to the analysis of the postbuckling behaviour of thi
n-walled structures by means of an asymptotic approach based on a fini
te element implementation of Koiter's non-linear theory of instability
. The analysis has been accomplished by using the following assumption
s: (i) the structure is described as an assemblage of flat slender rec
tangular panels; (ii) a non-linear Kirchhoff-type plate theory is used
to model each panel; (iii) HC finite elements discretization is used;
(iv) linear and quadratic extrapolations are assumed for the fundamen
tal and the postbuckling paths, respectively; (v) multimodal buckling
is considered; and (vi) imperfection sensitivity analysis is performed
in both multimodal and monomodal form based on the steepest-descent p
ath criterion. Several numerical results are presented and discussed.
Comparisons with numerical solution obtained by standard incremental c
odes are given, which show the accuracy and reliability of the propose
d approach.