A New 3D Empirical Plastic and Damage Model for Simulating the Failure of Concrete Structure

Abstract

A new plastic–damage constitutive model based on the combination of damage mechanics and classical plastic theory was developed to simulate the failure of concrete. In order to explain different material behaviors of concrete under tensile and compressive loadings, the plastic yield criterion, the different kinematic hardening rule for tension and compressive and the isotropic flow rule were established in the effective stress space. Meanwhile, two different empirical damage evolution equations were adopted: one for compression and the other for tension. A multi-axial damage influence factor was also introduced to fully describe the anisotropic damage of concrete. Finally, the model response was compared with a wide range of experiment results. The results showed that the model could well describe the nonlinear behavior of concrete in a complex stress state.

Calculation and Analysis of Temperature Damage of Shimantan Concrete Gravity Dam Based on Macro–Meso Model

“…According to Equation (6), many damage evolution equations, including isotropic and anisotropic models, have been proposed by scholars from various countries, such as references [ 37 , 38 , 39 , 40 , 41 ]. However, as stated in the introduction section, these damage models are obtained on the basis of assuming that concrete is a homogeneous material and using the traditional macroscopic phenomenological method without considering the mutual influence of the damage between each phase of concrete.…”

“…As stated in the literature [ 38 , 39 ], the damage of concrete material has obvious anisotropic characteristics. The damage evolution equation represented by Equation (7) reflects the damage condition of materials in one-dimensional (1D) space and is isotropic.…”

“…However, as stated in the literature [ 29 ], using the strain energy equivalence hypothesis will complicate the constitutive model. The multiplicative decomposition symmetrization method proposed by the literature [ 45 ] is used frequently, such as in the literature [ 39 , 46 , 47 , 48 ]. By this method, Equation (9) can be rewritten as follows: or …”

“…Obviously, the damage evolution equation expressed in Equation (26) can reflect the damage anisotropy of concrete material, but when the principal strain is compressive strain, the calculated damage value may deviate from the actual situation. As stated in the literature [ 39 , 52 ], the damage of concrete material is mainly caused by tensile strain. When the material is under tensile loading, the micro-cracks propagate perpendicular to the direction of tension.…”

Quasi-brittle porous material: Simulated effect of stochastic air void structure on compressive strength

“…Poisson ratio ν = 0.2 does not depend on strain. Stress-strain behavior, Young's modulus and Poisson ratio are selected to represent typical behavior and values used for concrete [49,50].…”