Damage-plastic model for concrete failure

The present paper deals with the combination of plasticity and damage applied to modeling of concrete failure. First, the local uniqueness conditions of two types of combinations of stress-based plasticity and strain-driven scalar damage are studied. Then a triaxial damage-plastic model for the failure of concrete is presented. The plasticity part is based on the effective stress and the damage model is driven by the plastic strain. The implementation of the model in the form of a fully implicit integration scheme is discussed and the corresponding algorithmic stiffness matrix is derived. The constitutive response is compared to a wide range of experimental results. Finally, the model is applied to the structural analysis of reinforced concrete columns. A regularized version of this model with weighted spatial averaging of the damage-driving variable is published in a separate paper.

[1]  E. Oñate,et al.  A plastic-damage model for concrete , 1989 .

[2]  Josko Ozbolt,et al.  Plastic-damage model for concrete in principal directions , 2007 .

[3]  Kaspar Willam,et al.  Fracture Energy‐Based Plasticity Formulation of Plain Concrete , 1989 .

[4]  A. H. Marchertas,et al.  Concrete model with normality and sequential identification , 1987 .

[5]  Ignacio Carol,et al.  A two-surface anisotropic damage/plasticity model for plain concrete , 2000 .

[6]  Moon Kyum Kim,et al.  SINGLE HARDENING CONSTITUTIVE MODEL FOR SOIL, ROCK AND CONCRETE , 1995 .

[7]  Z. Bažant.  FRACTURE MECHANICS OF CONCRETE STRUCTURES , 1992 .

[8]  Egidio Rizzi,et al.  On the formulation of anisotropic elastic degradation.: II. Generalized pseudo-Rankine model for tensile damage , 2001 .

[9]  Milan Jirásek,et al.  Inelastic Analysis of Structures , 2001 .

[10]  M. Jirásek,et al.  Plastic model with non‐local damage applied to concrete , 2006 .

[11]  Peter Grassl,et al.  Modelling of dilation of concrete and its effect in triaxial compression , 2004 .

[12]  P. H. Feenstra,et al.  A composite plasticity model for concrete , 1996 .

[13]  W. Krätzig,et al.  An elasto-plastic damage model for reinforced concrete with minimum number of material parameters , 2004 .

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

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

[16]  Peter Grassl,et al.  Concrete in compression: a plasticity theory with a novel hardening law , 2002 .

[17]  Richard W. Cottle,et al.  Linear Complementarity Problem. , 1992 .

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

[19]  Wai-Fah Chen,et al.  CONSTITUTIVE RELATIONS FOR CONCRETE , 1975 .

[20]  Massimo Cuomo,et al.  A new thermodynamically consistent continuum model for hardening plasticity coupled with damage , 2002 .

[21]  Jeeho Lee,et al.  Plastic-Damage Model for Cyclic Loading of Concrete Structures , 1998 .

[22]  Kurt H. Gerstle,et al.  Behavior of Concrete Under Biaxial Stresses , 1969 .

[23]  M. Jirásek,et al.  ANALYSIS OF ROTATING CRACK MODEL , 1998 .

[24]  Surendra P. Shah,et al.  Fracture mechanics of concrete , 1995 .

[25]  Gilles Pijaudier-Cabot,et al.  Coupled damage and plasticity modelling in transient dynamic analysis of concrete , 2002 .

[26]  Comite Euro-International du Beton,et al.  CEB-FIP Model Code 1990 , 1993 .

[27]  Milan Jirásek,et al.  Large-Strain Generalization of Microplane Model for Concrete and Application , 2000 .

[28]  J. Mazars.  APPLICATION DE LA MECANIQUE DE L'ENDOMMAGEMENT AU COMPORTEMENT NON LINEAIRE ET A LA RUPTURE DU BETON DE STRUCTURE , 1984 .

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

[30]  Nihon Chōchū Kenkyū Iinkai.  Handbook of structural stability , 1971 .

[31]  Stavroula J. Pantazopoulou,et al.  Plasticity Model for Concrete under Triaxial Compression , 2001 .

[32]  Kaspar Willam,et al.  LOCALIZATION CHARACTERISTICS OF TRIAXIAL CONCRETE MODEL , 1999 .

[33]  Hans H. Bleich,et al.  Buckling strength of metal structures , 1952 .

[34]  I Imran,et al.  EXPERIMENTAL STUDY OF PLAIN CONCRETE UNDER TRIAXIAL STRESS. CLOSURE , 1996 .

[35]  E. P. Warnke,et al.  CONSTITUTIVE MODEL FOR THE TRIAXIAL BEHAVIOR OF CONCRETE , 1975 .

[36]  Z. X. Zhang,et al.  Strain-space cracking model for concrete and its application , 1994 .

[37]  Zenon Mróz,et al.  A continuum model for plastic-brittle behaviour of rock and concrete , 1979 .

[38]  Ferhun C. Caner,et al.  MICROPLANE MODEL M4 FOR CONCRETE: II. ALGORITHM AND CALIBRATION , 2000 .

[39]  Z. Bittnar,et al.  Effect of transversal reinforcement in normal and high strength concrete columns , 2005 .

[40]  Kaspar Willam,et al.  A coupled elastoplastic damage model for geomaterials , 2004 .

[41]  Ferhun C. Caner,et al.  Vertex Effect in Strain-Softening Concrete at Rotating Principal Axes , 2002 .

[42]  Gro Markeset,et al.  Softening of concrete in compression — Localization and size effects , 1995 .

[43]  Kaspar Willam,et al.  Fracture Energy Formulation for Inelastic Behavior of Plain Concrete , 1994 .

[44]  J. Ju,et al.  On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects , 1989 .

[45]  H. Kang,et al.  Triaxial constitutive model for plain and reinforced concrete behavior , 1997 .

[46]  Antonio Huerta,et al.  An elastic plastic damage formulation for concrete: application to elementary and structural tests , 2006 .