title: Three-Dimensional Surface Parameters and Multi-Fractal Spectrum of Corroded Steel.
abstract: To study multi-fractal behavior of corroded steel surface, a range of fractal surfaces of corroded surfaces of Q235 steel were constructed by using the Weierstrass-Mandelbrot method under a high total accuracy. The multi-fractal spectrum of fractal surface of corroded steel was calculated to study the multi-fractal characteristics of the W-M corroded surface. Based on the shape feature of the multi-fractal spectrum of corroded steel surface, the least squares method was applied to the quadratic fitting of the multi-fractal spectrum of corroded surface. The fitting function was quantitatively analyzed to simplify the calculation of multi-fractal characteristics of corroded surface. The results showed that the multi-fractal spectrum of corroded surface was fitted well with the method using quadratic curve fitting, and the evolution rules and trends were forecasted accurately. The findings can be applied to research on the mechanisms of corroded surface formation of steel and provide a new approach for the establishment of corrosion damage constitutive models of steel.
authors.affiliation: School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an, Shannxi, People's Republic of China.
authors.forename: Xu
authors.initials: X
authors.lastname: Shanhua
authors.affiliation: School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an, Shannxi, People's Republic of China.
authors.forename: Ren
authors.initials: R
authors.lastname: Songbo
authors.affiliation: School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an, Shannxi, People's Republic of China.
authors.forename: Wang
authors.initials: W
authors.lastname: Youde
mesh_terms: D001272:Atmosphere; D003198:Computer Simulation; D003343:Corrosion; D017709:Fractals; D007834:Lasers; D013232:Steel / Q000737:chemistry*; D013499:Surface Properties
chemical_list: D013232:Steel