A simplified isotropic damage model for concrete under bi-axial stress states

This paper presents a concrete model that is capable of describing the response of concrete under bi-axial loading, with the features of simplicity and avoidance of convergence problems, often seen in plasticity based models. The proposed model incorporates the failure of concrete into a conventional continuum damage mechanics framework, where particular emphasises are placed on highlighting the different responses of concrete under tension and compression, as well as the different contributions of hydrostatic and deviatoric stress components on concrete damage. A weighted damage parameter and a damage multiplier are introduced to eliminate potential convergence problems and to reduce the effect of hydrostatic pressure on damage, respectively. Finally, several examples are provided and compared with experimental data.

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

[2]  Luigi Gambarotta,et al.  Friction-damage coupled model for brittle materials , 2004 .

[3]  D. Halm,et al.  An anisotropic model of damage and frictional sliding for brittle materials , 1998 .

[4]  L. Resende,et al.  A damage mechanics constitutive theory for the inelastic behaviour of concrete , 1987 .

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

[6]  Jean-Marie Reynouard,et al.  An elasto-plastic damage model for plain concrete subjected to high temperatures , 2002 .

[7]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—I. Formulation , 1987 .

[8]  Michael Ortiz,et al.  A constitutive theory for the inelastic behavior of concrete , 1985 .

[9]  Gilles Pijaudier-Cabot,et al.  Response of Plain and Reinforced Concrete Structures Under Cyclic Loadings , 1992 .

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

[11]  H. Schreyer,et al.  An anisotropic damage model with dilatation for concrete , 1988 .

[12]  D. Halm,et al.  Anisotropic damage in quasi-brittle solids: modelling, computational issues and applications , 2000 .

[13]  Gilles Pijaudier-Cabot,et al.  CONTINUUM DAMAGE THEORY - APPLICATION TO CONCRETE , 1989 .

[14]  J O Jirsa,et al.  BEHAVIOUR OF CONCRETE UNDER COMPRESSIVE LOADING , 1969 .

[15]  Sergio Oller,et al.  Coupled plastic-damaged model , 1996 .

[16]  Umberto Perego,et al.  Fracture energy based bi-dissipative damage model for concrete , 2001 .

[17]  Luigi Gambarotta,et al.  Isotropic damage model with different tensile–compressive response for brittle materials , 2001 .

[18]  Jean Lemaitre,et al.  Coupled elasto-plasticity and damage constitutive equations , 1985 .

[19]  J. Oliver,et al.  A strain-based plastic viscous-damage model for massive concrete structures , 1998 .

[20]  Egor P. Popov,et al.  Plain concrete as a composite material , 1982 .

[21]  J. Renard,et al.  Modelling unilateral damage effect in strongly anisotropic materials by the introduction of the loading mode in damage mechanics , 1999 .

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

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