単軸引張り変形下における金属薄板自由表面プロフィルのフラクタル解析

概要

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Characteristics of the free surface profile of aluminum sheets under uniaxial tension are examined by employing fractal analysis. As a fractal analysis method applicable to a self-affine surface, a zeroset method for generating intersections of the surface profile in a base plane is presented. It is found that the fractal dimension of a surface resulting from plastic deformation tends to be constant (2.35), and each asperity has a uniform fractal structure. Other fractal analysis methods, the box-counting method, power spectrum method and zeroset method were applied to surface profile curves obtained using a stylus profilometer, and the characteristics of various fractal dimensions are discussed. From these results, the geometry of surface profiles under uniaxial tension is clarified.
社団法人日本機械学会の論文
1996-10-25