Yield surface approximation for lower and upper bound yield design of 3d composite frame structures

Jérémy Bleyer (1) , Patrick de Buhan (2)

1 navier umr 8205 - Laboratoire Navier
2 multi-échelle - Modélisation et expérimentation multi-échelle pour les solides hétérogènes

The present contribution advocates an up-scaling procedure for computing the limit loads of spatial structures made of composite beams. The resolution of an auxiliary yield design problem leads to the determination of a yield surface in the space of axial force and bending moments. A general method for approximating the numerically computed yield surface by a sum of several ellipsoids is developed. The so-obtained analytical expression of the criterion is then incorporated in the yield design calculations of the whole structure, using second-order cone programming techniques. An illustrative application to a complex spatial frame structure is presented.

Mots clés: Yield design; Limit analysis; Composite frames; Yield surface approximation; Second-order cone programming; Finite element method

Domaines: Physique [physics]; Mécanique [physics]; Matériaux et structures en mécanique [physics.class-ph]; Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Matériaux et structures en mécanique [physics.class-ph]

Jérémy Bleyer, Patrick de Buhan. Yield surface approximation for lower and upper bound yield design of 3d composite frame structures. Computers & Structures, 2013, 129, pp. 86-98. ⟨10.1016/j.compstruc.2013.08.011⟩. ⟨hal-00870789⟩