TY - JOUR
TI - Simulating chloride penetration in fly ash concrete by a fractal derivative model
AU - Qu Pengfei
AU - Liu Xiaoting
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 67
EP - 78
PT - Article
AB - In the real engineering field, the chloride ions behave abnormal diffusion  phenomena in concrete caused by different compositions of the concrete which  lead to the complex physical and chemical properties. This paper  utilizes a fractal derivative model and a fractional derivative model to  describe the diffusion phenomena. Furthermore, according to actual  experimental data in the field, the fractional and fractal model can  simulate the diffusion behavior of chloride ions in concrete. In comparison to  the fractional derivative model, the fractal derivative model gives a simpler  mathematical expression and lower calculation costs. In addition, the linear  regression analysis method is used to establish an effective relationship  between the internal composition of concrete and the parameters of fractal  model such as fractal order α and diffusion coefficient D. As a result, the  fractal model with the parameters estimated by above relationship can predict  the diffusion behavior of chloride ions.