Correlation between impact strength and fracture surface fractal dimension of ABS filled with hollow glass beads

AbstractThe cross sections formed by the contact asperities of two rough surfaces at an interference are islandshaped, rather than having the commonly assumed circular contour. These island-shaped contact surface contours show fractal behavior with a profile fractal dimension Ds. The surface fractal dimension for the asperity heights is defined as D and the topothesy is defined as G. In the study of Mandelbrot, the relationship between D and Ds was given as D = Ds + 1 if these two fractal dimensions are obtained before contact deformation. In the present study, D, G, and Ds are considered to be varying with the mean separation (or the interference at the rough surface) between two contact surfaces. The D-Ds relationships for the contacts at the elastic, elastoplastic, and fully plastic deformations are derived and the inceptions of the elastoplastic deformation regime and the fully plastic deformation regime are redefined using the equality of two expressions established in two different ways for the number of contact spots (N). The contact parameters, including the total contact force and the real contact area, were evaluated when the size distribution functions (n) for the three deformation regimes were available. The results indicate that both the D and Ds parameters in these deformation regimes increased with increasing the mean separation (d*). The initial plasticity index before contact deformation (ψ)0 is also a factor of importance to the predictions of the contact load (F*t) and contact area (At*) between the model of variable D and G, non-Gaussian asperity heights and circular contact area and the present model of variable D and G, non-Gaussian asperity heights and fractal contact area.

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Surface fractal dimension of two-dimensional percolation

Journal of Physics A General Physics ◽

10.1088/0305-4470/21/3/039 ◽

1988 ◽

Vol 21 (3) ◽

pp. 833-837 ◽

Cited By ~ 9

Author(s):

C Vanderzande

Keyword(s):

Fractal Dimension ◽

Two Dimensional ◽

Surface Fractal Dimension ◽

Surface Fractal

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The relationship between surface fractal dimension and soil water content at permanent wilting point

Geoderma ◽

10.1016/j.geoderma.2009.04.014 ◽

2009 ◽

Vol 151 (3-4) ◽

pp. 224-232 ◽

Cited By ~ 26

Author(s):

B. Ghanbarian-Alavijeh ◽

H. Millán

Keyword(s):

Fractal Dimension ◽

Water Content ◽

Soil Water ◽

Soil Water Content ◽

Surface Fractal Dimension ◽

Surface Fractal ◽

Permanent Wilting Point ◽

The Relationship ◽

Wilting Point

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Effect of Oxidation Treatment on Surface Fractal Dimension of Activated Carbon Fiber

Chemistry Letters ◽

10.1246/cl.2002.76 ◽

2002 ◽

Vol 31 (1) ◽

pp. 76-77

Author(s):

Zheng-Hong Huang ◽

Feiyu Kang ◽

Jun-Bing Yang ◽

Kai-Ming Liang ◽

Hui Zhao ◽

...

Keyword(s):

Fractal Dimension ◽

Activated Carbon ◽

Carbon Fiber ◽

Activated Carbon Fiber ◽

Oxidation Treatment ◽

Surface Fractal Dimension ◽

Surface Fractal

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Application of Fractal Theory on River Bed Form

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.212-213.236 ◽

2012 ◽

Vol 212-213 ◽

pp. 236-240 ◽

Cited By ~ 1

Author(s):

Yin Jun Zhou ◽

Fei Li ◽

Li Chen ◽

Zhong Wu Jin ◽

Jun Wang

Keyword(s):

Fractal Dimension ◽

Surface Area ◽

Fractal Theory ◽

Irregular Boundary ◽

Surface Fractal Dimension ◽

Surface Fractal ◽

River Bed ◽

Bed Form ◽

Fractal Characteristics ◽

River Pattern

Fractal theory is used to describe river bed form. Based on improvements in some aspects of Surface area – Scale Method, such as, estimation of surface area, boundary treatment and so on, the calculation method of surface fractal dimension with irregular boundary is obtained, and the new method has good application on the bed surface fractal dimension calculation. The fractal characteristics of river bed surface morphology are discussed by combination with river-pattern, river regime, river process and changes of BSD. BSD can be used to study some related problems, such as analysis of river regime, distinction of river pattern, calculation of river resistance and so on.

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