Plastic-Damage Model for Cyclic Loading of Concrete Structures

A new plastic-damage model for concrete subjected to cyclic loading is developed using the concepts of fracture-energy-based damage and stiffness degradation in continuum damage mechanics. Two damage variables, one for tensile damage and the other for compressive damage, and a yield function with multiple-hardening variables are introduced to account for different damage states. The uniaxial strength functions are factored into two parts, corresponding to the effective stress and the degradation of elastic stiffness. The constitutive relations for elastoplastic responses are decoupled from the degradation damage response, which provides advantages in the numerical implementation. In the present model, the strength function for the effective stress is used to control the evolution of the yield surface, so that calibration with experimental results is convenient. A simple and thermodynamically consistent scalar degradation model is introduced to simulate the effect of damage on elastic stiffness and its recovery during crack opening and closing. The performance of the plastic-damage model is demonstrated with several numerical examples of simulating monotonically and cyclically loaded concrete specimens.

[1]  R. Hill.  A general theory of uniqueness and stability in elastic-plastic solids , 1958 .

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

[3]  K. R. Agha,et al.  Concrete Plasticity Theory for Biaxial Stress Analysis , 1979 .

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

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

[6]  J. C. Simo,et al.  Consistent tangent operators for rate-independent elastoplasticity☆ , 1985 .

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

[8]  J. C. Simo,et al.  A return mapping algorithm for plane stress elastoplasticity , 1986 .

[9]  D. Krajcinovic,et al.  Introduction to continuum damage mechanics , 1986 .

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

[11]  Wai-Fah Chen,et al.  Plasticity for Structural Engineers , 1988 .

[12]  Yasuhiro Ohtani,et al.  Multiple Hardening Plasticity for Concrete Materials , 1988 .

[13]  A. Needleman.  Material rate dependence and mesh sensitivity in localization problems , 1988 .

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

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

[16]  Kenneth Runesson,et al.  A note on nonassociated plastic flow rules , 1989 .

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

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

[19]  J. Oliver.  A consistent characteristic length for smeared cracking models , 1989 .

[20]  H. Schreyer,et al.  Combined Plasticity and Damage Mechanics Model for Plain Concrete , 1990 .

[21]  E. Oñate,et al.  Finite element nonlinear analysis of concrete structures using a “plastic-damage model” , 1990 .

[22]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[23]  P. K. Mehta.  Concrete: Structure, Properties, and Materials , 1992 .

[24]  Howard L. Schreyer,et al.  Bifurcations in elastic-plastic materials , 1993 .

[25]  D. Borst,et al.  Fundamental issues in finite element analyses of localization of deformation , 1993 .

[26]  Howard L. Schreyer,et al.  A thermodynamically consistent framework for theories of elastoplasticity coupled with damage , 1994 .

[27]  Rui Faria,et al.  Seismic evaluation of concrete dams via continuum damage models , 1995 .