Le comportement au voilement d'éléments poutres en acier est important à comprendre dans le dimensionnement des ossatures métalliques soumises à un séisme. Le radoucissement induit au niveau de la loi moment-courbure conduit à un problème d'évolution élastoplastique mal posé. Un modèle de plasticité au gradient est proposé pour contrôler la localisation. La classification des sections classiquement proposée par les règlements en est remise en cause. Une classification par éléments serait probablement plus adaptée.
Local buckling of steel structural members has to be well understood in order to design accurately steel structures in seismic areas. Induced softening moment-curvature law leads to a well known ill-posedness elastoplastic evolution problem. Localization is chosen to be controlled with a gradient plasticity approach. The concept of cross-section behavioural classes, classically adopted in modern rule design, should be substituted by the concept of member behavioural classes.
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Keywords: Solids and structures, Steel structures, Local buckling, Gradient plasticity, Seismic behavior, Localization
Noël Challamel 1
@article{CRMECA_2003__331_9_647_0, author = {No\"el Challamel}, title = {Une approche de plasticit\'e au gradient en construction m\'etallique}, journal = {Comptes Rendus. M\'ecanique}, pages = {647--654}, publisher = {Elsevier}, volume = {331}, number = {9}, year = {2003}, doi = {10.1016/S1631-0721(03)00141-4}, language = {fr}, }
Noël Challamel. Une approche de plasticité au gradient en construction métallique. Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 647-654. doi : 10.1016/S1631-0721(03)00141-4. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00141-4/
[1] Theory and Design of Seismic Resistant Steel Frames, Chapman & Hall, 1996 (p. 497)
[2] Rotation capacity of beams under moment gradient, J. Struct. Div. ASCE, Volume 95 (1969), pp. 1173-1188
[3] Moment-rotation curves for locally buckling beams, J. Struct. Div. ASCE, Volume 98 (1972), pp. 1239-1254
[4] Definition of flange slenderness limits on the basis of rotation capacity values, J. Constr. Steel Res., Volume 14 (1989), pp. 21-40
[5] Effect of local plate buckling on the ultimate strength of continuous composite beams, Thin-Walled Structures, Volume 20 (1994), pp. 279-300
[6] Seismic behaviour of steel sections, J. Const. Steel Res., Volume 29 (1994), pp. 21-24
[7] Analytical and numerical solutions for frames with softening hinges, J. Engrg. Mech., Volume 123 (1997) no. 1
[8] Sul comportamento di aste metaliche compresse eccentricamente. Indagine sperimentale e considerazioni teoriche, Costruzioni Metalliche, Volume 22 (1970) no. 4, pp. 282-297
[9] Instability, ductility and size effect in strain softening concrete, J. Engrg. Mech., Volume 102 (1976), pp. 331-344
[10] Nonlocal damage theory, J. Engrg. Mech., Volume 113 (1987), pp. 1512-1533
[11] Inelastic Analysis of Structures, Wiley, 2002 (p. 758)
[12] Élastoplasticité, Presses de l'École Nationale des Ponts et Chaussées, 1987 (p. 448)
[13] A general theory of uniqueness and stability in elastic–plastic solids, J. Mech. Phys. Solids, Volume 6 (1958), pp. 236-249
[14] Stabilité et mécanique non linéaire, Hermes, 2000 (p. 461)
[15] Ductility, snap-back, size effect, and redistribution in softening beams or frames, J. Struct. Engrg., Volume 113 (1987) no. 12
[16] Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement and Concrete Research, Volume 6 (1976), pp. 773-782
[17] Gradient-dependent plasticity: formulation and algorithmic aspects, Int. J. Numer. Methods Engrg., Volume 35 (1992), pp. 521-539
[18] A thermodynamics-based formulation of gradient-dependent plasticity, Eur. J. Mech. A Solids, Volume 17 (1998), pp. 741-761
[19] Interaction of plastic local and lateral buckling, J. Struct. Div. ASCE (1985), pp. 2181-2197
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