Abstract

In this work, we use the Abbott–Firestone curve as the basis to develop a simple quantitative approach to measure the anisotropy of a surface. The main idea is to measure the difference between the curves for two mutually perpendicular directions over the surface as a function of the orientation of the lines. The approach is tested on a number of isotropic and anisotropic surfaces, both real and numerically generated.

References

1.
Blateyron
,
F.
,
2013
, “The Areal Field Parameters,”
Characterisation of Areal Surface Texture
,
R.
Leach
, ed.,
Springer
,
Berlin
, pp.
15
43
.
2.
Josso
,
B.
,
Burton
,
D. R.
, and
Lalor
,
M. J.
,
2005
, “
Texture Orientation and Anisotropy Calculation by Fourier Transform and Principal Component Analysis
,”
Mech. Syst. Signal Process.
,
19
(
5
), pp.
1152
1161
. 10.1016/j.ymssp.2004.07.005
3.
Guillemot
,
G.
,
Bigerelle
,
M.
, and
Khawaja
,
Z.
,
2014
, “
3D Parameter to Quantify the Anisotropy Measurement of Periodic Structures on Rough Surfaces
,”
Scanning
,
36
(
1
), pp.
127
133
. 10.1002/sca.21108
4.
Thomas
,
T. R.
,
Rosén
,
B. G.
, and
Amini
,
N.
,
1999
, “
Fractal Characterisation of the Anisotropy of Rough Surfaces
,”
Wear
,
232
(
1
), pp.
41
50
. 10.1016/S0043-1648(99)00128-3
5.
Zhao
,
Y.
,
Wang
,
G.
, and
Lu
,
T.
,
1998
, “
Diffraction From Anisotropic Random Rough Surfaces
,”
Phys. Rev. B: Condens. Matter Mater. Phys.
,
58
(
11
), pp.
7300
7309
. 10.1103/PhysRevB.58.7300
6.
Podsiadlo
,
P.
, and
Stachowiak
,
G. W.
,
1999
, “
Applications of Hurst Orientation Transform to the Characterization of Surface Anisotropy
,”
Tribol. Int.
,
32
(
7
), pp.
387
392
. 10.1016/S0301-679X(99)00058-4
7.
Ghasemi Nezhadhaghighi
,
M.
,
Movahed
,
S. M. S.
,
Yasseri
,
T.
,
Vaez Allaei
, and
Mehdi
,
S.
,
2017
, “
Characterization of the Anisotropy of Rough Surfaces: Crossing Statistics
,”
J. Appl. Phys.
,
122
(
8
), p.
085302
. 10.1063/1.4998436
8.
Prajapati
,
D. K.
, and
Tiwari
,
M.
,
2017
, “
Topography Analysis of Random Anisotropic Gaussian Rough Surfaces
,”
ASME J. Tribol.
,
139
(
4
), pp.
1
9
. 10.1115/1.4034960
9.
Abbott
,
E.
, and
Firestone
,
F.
,
1933
, “
Specifying Surface Quality: A Method Based on Accurate Measurement and Comparison
,”
Mech. Eng.
,
55
, pp.
569
572
.
10.
Bergström
,
D.
,
2014
, “
Rough Surface Generation and Analysis
,” http://www.mysimlabs.com/
11.
Garcia
,
N.
, and
Stoll
,
E.
,
1984
, “
Monte Carlo Calculation for Electromagnetic-Wave Scattering From Random Rough Surfaces
,”
Phys. Rev. Lett.
,
52
(
20
), pp.
1798
1801
. 10.1103/PhysRevLett.52.1798
12.
Sista
,
B.
,
2014
, “
Dry Static Friction in Metals: Experiments and Micro-Asperity Based Modeling
,” PhD thesis,
University of Cincinnati
,
Cincinnati, OH
.
You do not currently have access to this content.