FRACTURE AND DAMAGE BEHAVIORS FOR CONCRETE CONSIDERING FRACTAL EFFECTS
In this work, the fracture toughness and the critical cracking stress for an infinite plate with a fractal crack is investigated based on fracture mechanics and fractal geometry. The crack domain is approximated as an ellipse. The surface energy and the strain energy in this domain are expressed considering the fractal effect of the crack. A damage variable in the fractal space is derived as a function of the crack length according to the perimeter-area relation of a fractal area, and the transformation rule between the fractal damage variable and the apparent one in Euclidean space is obtained. This rule is used in an existed damage constitutive model of concrete (Cicekli et al, 2007) consequently. Numerical calculations are implemented to predicate the behaviors of concrete under uniaxial loading condition. Comparison of the results is done with experimental and the Ciceklis data. Results indicate that the constitutive model for concrete considering fractal effects is more efficient to describe the mechanical behaviors of concrete.
fracture toughness damage variable fractal concrete
Heng Zhang Zhi-Dong Qiu De-Min Wei
Department of Civil Engineering, South China University of Technology, Guangzhou 510640, Guangdong C Department of Civil Engineering, South China University of Technology, Guangzhou 510640, Guangdong C
国际会议
广州
英文
1261-1265
2009-11-28（万方平台首次上网日期，不代表论文的发表时间）