Critères de flambage plastique avec lois de comportement complexes sur l'exemple de l'éprouvette cruciforme

Abstract : Our aim is to account for complex constitutive relations in plastic buckling analysis. This behaviour is defined by monotonic relations of degree one between strees-rate. An example of phenomenological behaviour of this type is the "J2 corner theory" of Christoffersen and Hutchinson. In the first part, after having revisited bifurcation criterions and situated the "paradox", a bifurcation criterion is proposed for the model "J2 corner theory" and for the cruciform column. Under some restrictions on this model, a generic case the tangent bifurcation is presented. In the second part, this criterion is extented to more general behaviours. Under some restrictive assumptions, we establish that this criterion is not only a sufficient condition of bifurcation but also a necessary one. Next, we have studied the postbifurcation path by an asymptotic method
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Kaddour Benbagdad. Critères de flambage plastique avec lois de comportement complexes sur l'exemple de l'éprouvette cruciforme. Autre. Université Paul Verlaine - Metz, 1992. Français. ⟨NNT : 1992METZ044S⟩. ⟨tel-01776009⟩

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