Stress–strain model for concrete under cyclic loading

A hysteretic stress–strain model is developed for unconfined concrete with the intention of providing efficient modelling for the structural behaviour of concrete in seismic regions. The proposed model is based on the findings of previous experimental and analytical studies. The model for concrete subjected to monotonic and cyclic loading comprises four components in compression and tension – an envelope curve (for monotonic and cyclic loading), an unloading curve, a reloading curve and a transition curve. Formulations for partial unloading and partial reloading curves are also presented. The reliability of the proposed constitutive model is investigated for a reinforced concrete member using a non-linear finite-element analysis program. Comparisons with test results showed that the proposed model provides a good fit to a wide range of experimentally established hysteresis loops.

[1]  John B. Mander,et al.  Seismic Energy Based Fatigue Damage Analysis of Bridge Columns: Part 1 - Evaluation of Seismic Capacity , 1994 .

[2]  W. K. Tso,et al.  NONLINEAR ANALYSIS OF CYCLICALLY LOADED REINFORCED CONCRETE STRUCTURES , 1998 .

[3]  F. Aslani,et al.  Constitutive relationships for normal-and high-strength concrete at elevated temperatures , 2011 .

[4]  Thomas T. C. Hsu,et al.  Behavior of reinforced concrete elements under cyclic shear. II: Theoretical model , 2005 .

[5]  C. Hsu,et al.  STRESS-STRAIN BEHAVIOR OF CONCRETE UNDER CYCLIC LOADING , 1998 .

[6]  Comite Euro-International du Beton.  Rc Elements Under Cyclic Loading: State of the Art Report , 1996 .

[7]  Kuang-Han Chu,et al.  STRESS-STRAIN RELATIONSHIP FOR PLAIN CONCRETE IN COMPRESSION , 1985 .

[8]  P. Petersson.  Crack growth and development of fracture zones in plain concrete and similar materials , 1981 .

[9]  Climent Molins,et al.  Cyclic constitutive model for concrete , 2008 .

[10]  Kent Gylltoft,et al.  Fracture mechanics models for fatigue in concrete structures , 1983 .

[11]  S. Nejadi,et al.  Cyclic Constitutive Model for High-Strength Concrete Confined by Ultra-High-Strength and Normal-Strength Transverse Reinforcements , 2011 .

[12]  James O. Jirsa,et al.  Behavior of concrete under compressive loadings , 1969 .

[13]  Xiao Chang,et al.  Earthquake Resistance of Prestressed Concrete Structure , 2003 .

[14]  H. Reinhardt,et al.  Uniaxial behavior of concrete in cyclic tension , 1989 .

[15]  Hans W. Reinhardt,et al.  Model for Cyclic Compressive Behavior of Concrete , 1987 .

[16]  Jacky Mazars,et al.  Orthotropic behavior of concrete with directional aspects: modelling and experiments , 1992 .

[17]  Oral Büyüköztürk,et al.  Concrete in Biaxial Cyclic Compression , 1984 .

[18]  K. Maekawa,et al.  Nonlinear mechanics of reinforced concrete , 2003 .

[19]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[20]  B. Sinha,et al.  STRESS - STRAIN RELATIONS FOR CONCRETE UNDER CYCLIC LOADING , 1964 .

[21]  Andrew Scanlon,et al.  Time dependent deflections of reinforced concrete slabs , 1971 .

[22]  D. Palermo,et al.  COMPRESSION FIELD MODELING OF REINFORCED CONCRETE SUBJECTED TO REVERSED LOADING: FORMULATION , 2004 .

[23]  Surendra P. Shah,et al.  Softening Response of Plain Concrete in Direct Tension , 1985 .

[24]  P. Gustafsson.  Fracture mechanics studies of non-yielding materials like concrete : modelling of tensile fracture and applied strength analyses , 1985 .

[25]  Z. Bažant,et al.  Crack band theory for fracture of concrete , 1983 .

[26]  Hans W. Reinhardt,et al.  Response of Plain Concrete to Cyclic Tension , 1987 .

[27]  H. Reinhardt.  Fracture Mechanics of an Elastic Softening Material like Concrete , 1984 .

[28]  Hans W. Reinhardt,et al.  Tensile Tests and Failure Analysis of Concrete , 1986 .

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

[30]  P. Bowen,et al.  Changes in portlandite morphology with solvent composition: Atomistic simulations and experiment , 2011 .

[31]  A. Scordelis,et al.  Nonlinear Analysis of RC Shells of General Form , 1975 .

[32]  Jacky Mazars,et al.  Damage Mechanics Modeling of Nonlinear Seismic Behavior of Concrete Structures , 2005 .

[33]  Johan Blaauwendraad,et al.  Smeared Crack Approach and Fracture Localization in Concrete , 1985 .