On nonlinear beam models from the point of view of computational post-buckling analysis

Ho's theorem in global–local mode interaction of pin-jointed bar structures

“…This question is very well known in the scientific community and has been widely investigated [9,13,[15][16][17]22,38,39].…”

On elastic beam models for stability analysis of multilayered rubber bearings

“…For finite displacements, exact strain measures ðe½s; c½s; v½sÞ are defined by the relations see (Salerno and Lanzo, 1997;Antman, 1977Antman, , 1995Pignataro et al, 1982;Lanzo, 1994) …”

“…enriching the linear beam model with 'ad hoc' nonlinear terms based on diversely motivated assumptions, are also present beam models rationally derived from an exact geometric representation (Reissner, 1972;Antman, 1977Antman, , 1995. The reader, discouraged by this picture, can consider the points listed here (see Pignataro et al, 1982;Salerno and Lanzo, 1997;Reissner, 1982):…”

“…The first model, widely used in Salerno and Lanzo (1997), Salerno (1992), Pignataro et al (1982) and Lanzo (1994)), refers to the classical linear elastic constitutive relationship. Instead, the second model refers to a more complex nonlinear elastic constitutive relationship consistent with the framework of three-dimensional finite elasticity.…”

Path‐following analysis of thin‐walled structures and comparison with asymptotic post‐critical solutions

“…Therefore, during an extensive investigation, performed as part of the Brite Euram research project APRICOS [3], the asymptotic approach developed in References [4][5][6][7][8][9][10][11][12][13][14][15][16][17] as a ÿnite element implementation of Koiter's theory [18] was used because it was supposed more suitable for multimodal buckling presenting both bifurcation and snapping phenomena.…”