An Alternative Approach to the Interaction between Local and Overall Buckling in Stiffened Panels

Interactive buckling in long thin-walled rectangular hollow section struts

“…From the previous numerical study [30], the transverse strain component was shown to be very small when compared with the other two components, a finding that also coincides with earlier analytical work [34], hence it is not included presently. The current nonlinear formulation is deemed sufficient since it is well-known that it accounts for local deflections that are of the same order of magnitude as the plate thickness.…”

Local nonsymmetrical postbuckling equilibrium path of the thin FGM plate

“…After expanding the fields of displacements U and the fields of sectional forces N into a power series with respect to the mode amplitudes ζ 1 (the dimensionless amplitude of the buckling mode), Koiter's asymptotic theory has been employed [3,6,7,8,9,10,13,18,25,26]: …”

“…The general asymptotic Koiter's theory of stability has been assumed as the basis of investigation. Among all versions of the general nonlinear theory, Koiter's theory [6,7,25,26] of conservative systems is the most popular one, owing to its general character and development. Even more, so after Byskov and Hutchinson [3] formulated it in a convenient way.…”

Nonlinear Plate Theory for Postbuckling Behaviour of Thin-Walled Structures Under Static and Dynamic Load

“…A more comprehensive review of the literature concerning the interactive buckling analysis of an isotropic structure can be found for example in Ali and Sridharan [3], Benito and Sridharan [5], Byskov [6], Koiter and Pignataro [7], Kolakowski [8][9][10], Manevich [11], Moellmann and Goltermann [12], Pignataro et al [13], Pignataro and Luongo [14,15], Sridharan and Ali [16,17]. The interactive buckling of orthotropic structures can be found for example in [18,19].…”