Modeling of crack nucleating damage of concrete

Based on the concept of renormalization group, a methodology of crack-nucleating cumulative damage of concrete is studied and three damage-nucleating models of stress-strain relations were obtained. The jump of multi-scaling and two-leveling phase changes of damage state is defined by a fractal length on a damage body. The damaging models established in this paper include influences of aggregate size, aggregate interface characteristics, crack nucleation, fractal dimension, etc. on concrete damage by using energy-equilibrium law in material under the state in the crack-nucleating damage.