FE analysis of failure behaviour of reinforced concrete columns under eccentric compression

Abstract Paper presents results of FE modelling of failure behaviour of reinforced concrete columns under eccentric compression. Concrete was described with an elasto-plastic model using isotropic hardening and softening. A Drucker–Prager criterion with a nonassociated flow rule was defined in a compressive regime and a Rankine criterion with an associated flow rule adopted in a tensile regime. To ensure the mesh-independence and to capture strain localization in concrete, both criteria were extended by a characteristic length of microstructure in a softening regime with the aid of a non-local theory. The reinforcement was described with an elastic-ideally plastic constitutive law by von Mises. Two-dimensional plane strain and three-dimensional simulations were performed. The FE-calculations were carried out with a different characteristic length of micro-structure, reinforcement ratio, column slenderness, load eccentricity, distribution of the tensile strength, bond-slip between concrete and reinforcement and fracture energy. The FE results were quantitatively compared with those from laboratory experiments performed by Kim and Yang [Kim J, Yang J. Buckling behaviour of slender high-strength concrete columns. Engineering Structures 1995;17(1):39–51]. A satisfactory agreement was achieved.

[1]  J. Tejchman,et al.  Modeling of strain localization in quasi-brittle materials with a coupled elasto-plastic-damage model , 2006 .

[2]  René de Borst,et al.  Computational Modelling of Concrete Structures , 2010 .

[3]  J. Tejchman.  Effect of fluctuation of current void ratio on the shear zone formation in granular bodies within micro-polar hypoplasticity , 2006 .

[4]  Jin-Keun Kim,et al.  Buckling behaviour of slender high-strength concrete columns , 1995 .

[5]  P. Fuschi,et al.  A thermodynamically consistent formulation of nonlocal and gradient plasticity , 1998 .

[6]  R.B.J. Brinkgreve,et al.  Geomaterial Models and Numerical Analysis of Softening , 1994 .

[7]  Matti Ristinmaa,et al.  FE-formulation of a nonlocal plasticity theory , 1996 .

[8]  P. Mendis.  Behavior of slender high-strength concrete columns , 2000 .

[9]  Chen Wai-Fah,et al.  Nonlinear behavior of R/C frames , 1989 .

[10]  J. Tejchman,et al.  Numerical simulations of localization of deformation in quasi-brittle materials within non-local softening plasticity , 2004 .

[11]  J. A. den Uijl,et al.  A BOND MODEL FOR RIBBED BARS BASED ON CONCRETE CONFINEMENT , 1996 .

[12]  Jean-François Dubé,et al.  Calibration of nonlocal damage model from size effect tests , 2003 .

[13]  B. V. Rangan,et al.  Studies on High-Strength Concrete Columns under Eccentric Compression , 1996 .

[14]  T. Maier.  Nonlocal modeling of softening in hypoplasticity , 2003 .

[15]  I. M. Viest,et al.  Ultimate Strength Analysis of Long Restrained Reinforced Concrete Columns , 1958 .

[16]  M. E. Muller,et al.  A Note on the Generation of Random Normal Deviates , 1958 .

[17]  Z. Bažant,et al.  Scaling of structural strength , 2003 .

[18]  K. Willam,et al.  Triaxial failure criterion for concrete and its generalization , 1995 .

[19]  Jean-François Dubé,et al.  Non‐local damage model with evolving internal length , 2004 .

[20]  L. Ferrara,et al.  MODE I FRACTURE BEHAVIOR IN CONCRETE: NONLOCAL DAMAGE MODELING , 2001 .

[21]  Zdenek P. Bazant,et al.  New method of analysis for slender columns , 1991 .

[22]  J. Górski,et al.  Simulation of nonhomogeneous random fields for structural applications , 1997 .

[23]  T. Hughes,et al.  Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .

[24]  Jacek Tejchman,et al.  Effect of a characteristic length on crack spacing in a reinforced concrete bar under tension , 2007 .

[25]  Milan Jirásek,et al.  Nonlocal integral formulations of plasticity and damage : Survey of progress , 2002 .

[26]  N. J. Gardner,et al.  Laterally Prestressed Eccentrically Loaded Slender Columns , 1992 .

[27]  J. Tejchman,et al.  Modelling of size effects in concrete using elasto-plasticity with non-local softening , 2006 .

[28]  Priyan Mendis,et al.  Instability Analysis of Normal- and High-Strength Reinforced-Concrete Walls , 1997 .

[29]  Z. Bažant,et al.  Nonlocal damage theory , 1987 .

[30]  D. Hordijk.  Local approach to fatigue of concrete , 1991 .

[31]  N. S. Ottosen.  A Failure Criterion for Concrete , 1977 .

[32]  J. Pamin,et al.  Simulation of crack spacing using a reinforced concrete model with an internal length parameter , 1998 .

[33]  Michael Ortiz,et al.  An analysis of a new class of integration algorithms for elastoplastic constitutive relations , 1986 .

[34]  James G. MacGregor,et al.  Performance of HighStrength Concrete Tied Columns A Parametric Study , 1997 .

[35]  J. Tejchman,et al.  Simulations of spacing of localized zones in reinforced concrete beams using elasto-plasticity and damage mechanics with non-local softening , 2007 .

[36]  Michel Lorrain,et al.  Cracking Behavior of Reinforced High-Strength Concrete Tension Ties , 1998 .

[37]  Ellen Kuhl,et al.  Parameter identification of gradient enhanced damage models with the finite element method , 1999 .

[38]  Z. Bažant,et al.  Failure of slender and stocky reinforced concrete columns: tests of size effect , 1994 .

[39]  R. Borst,et al.  Experimental monitoring of strain localization and failure behaviour of composite materials , 1996 .