Poutre multifibre Timoshenko pour la modélisation de structures en béton armé

ABSTRACT The equations of a 3D multifiber Timoshenko beam element and its use for modeling the non linear behavior of reinforced concrete structures are presented hereafter. The originality of the element is that it has two nodes and higher order interpolation functions in order to deal with shear locking phenomena. Numerical applications and comparisons with experimental results show the well funding of the approach.

[1]  Panagiotis Kotronis,et al.  A new modelling strategy for the behaviour of shear walls under dynamic loading , 2002 .

[2]  Enrico Spacone,et al.  FIBRE BEAM–COLUMN MODEL FOR NON‐LINEAR ANALYSIS OF R/C FRAMES: PART I. FORMULATION , 1996 .

[3]  A. Ibrahimbegovic,et al.  Finite element analysis of linear and non‐linear planar deformations of elastic initially curved beams , 1993 .

[4]  T. Belytschko,et al.  Shear and membrane locking in curved C0 elements , 1983 .

[5]  J. Kosmatka,et al.  An improved two-node timoshenko beam finite element , 1993 .

[6]  Stéphane Corn,et al.  Simplification de modèles éléments finis de structures à comportement dynamique de poutre. , 1998 .

[7]  M. Menegotto.  Method of Analysis for Cyclically Loaded R. C. Plane Frames Including Changes in Geometry and Non-Elastic Behavior of Elements under Combined Normal Force and Bending , 1973 .

[8]  J. Mazars,et al.  The equivalent reinforced concrete model for simulating the behavior of walls under dynamic shear loading , 2003 .

[9]  C. Borderie.  Phénomènes unilatéraux dans un matériau endommageable : Modélisation et application à l'analyse de structures en béton. , 1991 .

[10]  Nicolae-Ioan Ile.  Contribution à la compréhension du fonctionnement des voiles en béton armé sous sollicitation sismique : apport de l'expérimentation et de la modélisation à la conception , 2000 .

[11]  Panagiotis Kotronis,et al.  The equivalent reinforced concrete model for simulating the behavior of shear walls under dynamic loading , 2001 .

[12]  Panagiotis Kotronis,et al.  Cisaillement dynamique de murs en béton armé. Modèles simplifiés 2D et 3D , 2000 .

[13]  P. Wriggers.  Nonlinear finite element analysis of solids and structures , 1998 .

[14]  Michael N. Fardis,et al.  Load-Path Effects in Column Biaxial Bending with Axial Force , 1995 .

[15]  J. Donea,et al.  A modified representation of transverse shear in C 0 quadrilateral plate elements , 1987 .

[16]  Jacky Mazars,et al.  Damage model for concrete‐like materials coupling cracking and friction, contribution towards structural damping: first uniaxial applications , 2000 .

[17]  J. S. Przemieniecki.  Theory of matrix structural analysis , 1985 .

[18]  Jacky Mazars,et al.  Numerical modelling for earthquake engineering: the case of lightly RC structural walls , 2004 .