Regeneration of surface roughness by the Langevin equation using stochastic analysis on AFM image of a carbon fiber

被引:5
作者
Allahkarami, Masoud [1 ]
Hanan, Jay C. [1 ]
Bale, Hrishikesh A. [1 ]
机构
[1] Oklahoma State Univ, Tulsa, OK USA
关键词
AFM (atomic force microscopy); Stochastic analysis; Surface roughness regeneration; Carbon fiber; COMPOSITE; MATRIX;
D O I
10.1016/j.apsusc.2010.07.081
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
A new method was developed using AFM images of a fiber surface to regenerate the surface roughness in 3D geometry, such as the cylindrical shape of a "model" fiber. The Langevin equation was used to derive the fluctuations of a carbon fiber surface image. The equation contains two quantities, D((1)) (h) and D((2)) (h) which in physics represent drift and diffusion coefficients. Knowing this coefficient and adding a proper noise function, a similar surface of larger dimension with the same statistical properties of the initial data was created. The generated surface was mapped into cylindrical coordinates, then a mesh generated. The resulting reconstructed surface, input over the geometry of a cylindrical shape, can be implemented for finite element analysis of a single fiber surrounded by matrix and generalized to a many fiber model. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:857 / 860
页数:4
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