On the plastic bifurcation and post-bifurcation of axially compressed beams - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Non-Linear Mechanics Année : 2011

On the plastic bifurcation and post-bifurcation of axially compressed beams

Résumé

The paper presents two new results in the domain of the elastoplastic buckling and post-buckling of beams under axial compression. (i) First, the tangent modulus critical load, the buckling mode and the initial slope of the bifurcated branch are given for a Timoshenko beam (with the transverse shear effects). The result is derived from the 3D flow plastic bifurcation theory with the von Mises yield criterion and a linear isotropic hardening. (ii) Second, use is made of a specific method in order to provide the asymptotic expansion of the post-critical branch for a Euler-Bernoulli beam, exhibiting one new non-linear fractional term. All the analytical results are validated by finite element computations.
Fichier principal
Vignette du fichier
PEER_stage2_10.1016%2Fj.ijnonlinmec.2011.02.001.pdf (696.61 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00746223 , version 1 (28-10-2012)

Identifiants

Citer

Philippe Le Grognec, Anh Le Van. On the plastic bifurcation and post-bifurcation of axially compressed beams. International Journal of Non-Linear Mechanics, 2011, ⟨10.1016/j.ijnonlinmec.2011.02.001⟩. ⟨hal-00746223⟩
69 Consultations
359 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More