A 3D flexure–shear fiber element for modeling the seismic behavior of reinforced concrete columns

Abstract In order to model the nonlinear seismic behavior of reinforced concrete (RC) columns under a combined loading of axial force, biaxial bending moment and shear force, a displacement-based 3D flexure–shear fiber element accounting for the effect of shear–bending interaction is developed and presented. The element is based on the Timoshenko beam theory and the section is discretized into two types of fibers: fiber representing the longitudinal reinforcement bar and fiber representing the concrete with smeared stirrups. The constitutive law of the steel material follows the Menegotto–Pinto model, in which strain hardening and Bauschinger effects are considered. The 3D constitutive model for reinforced concrete follows the basic assumptions of the enhanced Modified Compression Field Theory (MCFT), where plastic strains are introduced as offsets to account for cyclic loading. The axial, shear and bending effects are fully coupled at both the section and the element level, since normal–shear interaction has been taken into account in the enhanced MCFT. The developed fiber element is implemented as a user-defined element in a FEA program, and validated with experimental results for columns under in-plane (2D) and bilateral (3D) cyclic loading. It is found that the proposed 3D flexural–shear fiber element is able to capture the complex hysteretic behavior of shear-dominated RC columns under 2D as well as 3D cyclic loading reasonably well.

[1]  T. Hsu,et al.  POISSON EFFECT IN REINFORCED CONCRETE MEMBRANE ELEMENTS , 2000 .

[2]  Serhan Guner,et al.  Performance Assessment of Shear-critical Reinforced Concrete Plane Frames , 2009 .

[3]  Ashraf Ayoub,et al.  Modeling of the seismic behavior of shear-critical reinforced concrete columns , 2010 .

[4]  Paola Ceresa,et al.  Flexure-Shear Fiber Beam-Column Elements for Modeling Frame Structures Under Seismic Loading — State of the Art , 2007 .

[5]  Filip C. Filippou,et al.  Numerical integration of a class of 3d plastic-damage concrete models and condensation of 3d stress–strain relations for use in beam finite elements , 2009 .

[6]  Michael P. Collins,et al.  Predicting the Response of Reinforced Concrete Beams Subjected to Shear Using the Modified Compression Field Theory , 1988 .

[7]  S. Mohr,et al.  Nonlinear static and dynamic model for the analysis of reinforced concrete frames under high shear forces , 2011 .

[8]  K. Tan,et al.  Numerical simulation of reinforced concrete beam/column failure considering normal-shear stress interaction , 2014 .

[9]  Antonio R. Marí,et al.  A frame element model for the analysis of reinforced concrete structures under shear and bending , 2010 .

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

[11]  J. Moehle,et al.  SHEAR STRENGTH MODEL FOR LIGHTLY REINFORCED CONCRETE COLUMNS , 2004 .

[12]  R. Park,et al.  Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates , 1982 .

[13]  Frank J. Vecchio.  TOWARDS CYCLIC LOAD MODELING OF REINFORCED CONCRETE , 1999 .

[14]  S. M. Uzumeri,et al.  Constitutive Model for Reinforced Concrete Finite Element Analysis , 1991 .

[15]  Alessandra Marini,et al.  Analysis of Reinforced Concrete Elements Including Shear Effects , 2006 .

[16]  F. J. Vecchio,et al.  Toward Compression‐Field Analysis of Reinforced Concrete Solids , 1991 .

[17]  Thomas T. C. Hsu,et al.  SOFTENED MEMBRANE MODEL FOR REINFORCED CONCRETE ELEMENTS IN SHEAR , 2002 .

[18]  Casarotti Chiara,et al.  Seismic response of continuous span bridges through fiber-based finite element analysis , 2006 .

[19]  Antonio R. Marí,et al.  Multiaxial-coupled analysis of RC cross-sections subjected to combined forces , 2007 .

[20]  A. Marí,et al.  Numerical simulation of shear-strengthened RC beams , 2013 .

[21]  Frank J. Vecchio,et al.  Analysis of Shear-Critical Reinforced Concrete Plane Frame Elements under Cyclic Loading , 2011 .

[22]  Filip C. Filippou,et al.  A 3D numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading , 2007 .

[23]  Jian Zhang,et al.  Axial–shear–flexure interaction hysteretic model for RC columns under combined actions , 2012 .

[24]  T. R. S. Mullapudi,et al.  Analysis of Reinforced Concrete Columns Subjected to Combined Axial, Flexure, Shear, and Torsional Loads , 2013 .

[25]  F. Vecchio,et al.  THE MODIFIED COMPRESSION FIELD THEORY FOR REINFORCED CONCRETE ELEMENTS SUBJECTED TO SHEAR , 1986 .

[26]  Frank J. Vecchio,et al.  Finite Element Modeling of Concrete Expansion and Confinement , 1992 .

[27]  Michael E. Kreger,et al.  Rehabilitation of shear critical concrete columns by use of rectangular steel jackets , 1999 .

[28]  Antonio Ricardo Marí Bernat,et al.  Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading. Part 1: Theoretical formulation , 2006 .

[29]  Henriette Lebre La Rovere,et al.  FE model for nonlinear analysis of reinforced concrete beams considering shear deformation , 2012 .

[30]  Gangan Prathap,et al.  Reduced integration and the shear-flexible beam element , 1982 .

[31]  Maria Gabriella Mulas,et al.  Performance of fiber beam–column elements in the seismic analysis of a lightly reinforced shear wall , 2013 .

[32]  Paola Ceresa,et al.  A fibre flexure–shear model for seismic analysis of RC‐framed structures , 2009 .

[33]  Y. J. Kang.  Nonlinear geometric, material and time dependent analysis of reinforced and prestressed concrete frames , 1977 .