When a metal is surface ground the roughness generated is the summation of a function of the wheel roughness and the roughness due to wheel attrition and damage to the workpiece. We identify this function here as a maximum envelope profile, which is fractal within certain cut off wavelengths determined by the dressing conditions of the wheel. Estimating the global displacement of the binder-grit-workpiece system from the maximum envelope power spectra, we determine the plastic indentation of the workpiece at characteristic length scales using simple contact-mechanical calculation. The estimated roughness corresponds well with that recorded experimentally for hard steel, copper, titanium and aluminium.

1.
Archard
J. F.
,
1957
, “
Elastic Deformation and the laws of Friction
,”
Proceedings of Royal Society, London, Series A
, Vol.
243
, pp.
190
205
.
2.
Bhateja
C. P.
,
1977
, “
An enveloping Profile Approach For Generation Of Ground Surface Texture
,”
Annals of the CIRP
, Vol.
25
, pp.
333
337
.
3.
Bhushan
B.
,
Koinkar
V. N.
, and
Ruan
J. A.
,
1994
, “
Micro Tribology of Ground Media
,”
Proceedings of Institution of Mechanical Engineers Part J
, Vol.
208
(
1
) pp.
17
29
.
4.
Bobji
M. S.
,
Biswas
S. K.
, and
Pethica
J. B.
,
1997
, “
Effect of Roughness on the Measurement of Nano Hardness—Computer Simulation Study
,”
Applied Physics Letters
, Vol.
71
(
8
), pp.
1059
1061
.
5.
Brown
C. A.
,
Johnsen
W. A.
, and
Butland
R. M.
,
1996
, “
Scale-sensitive Fractal analysis of Turned Surfaces
,”
Annals of CIRP
, Vol.
45
(
1
), pp.
515
518
.
6.
Brown
C. A.
, and
Savary
G.
,
1991
, “
Describing Ground Surface Texture Using Contact Profilometry And Fractal Analysis
,”
Wear
, Vol.
141
, pp.
211
226
.
7.
Chen
X.
, and
Rowe
W. B.
,
1996
, “
Analysis and Simulation of the Grinding Process, Part II: mechanics of Grinding
,”
International Journal of Machine Tools Manufacturing
, Vol.
36
, No.
8
, pp.
883
896
.
8.
Li
K.
,
Liao
T. W.
,
O’Rouke
L. J.
, and
McSpudden
S. B.
,
1997
, “
Wear of Diamond Wheels in Creep-feed Grinding of Ceramic Materials. Effects on Process response and Strength
,”
Wear
, Vol.
211
, pp.
104
112
.
9.
Majumdar
A.
, and
Bhushan
B.
,
1990
, “
Role Of Fractal Geometry In Roughness Characterization And Contact Mechanics Of Surfaces
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
112
, pp.
205
216
.
10.
Majumdar
A.
, and
Bhushan
B.
,
1991
, “
Fractal Model of Elastic—Plastic contact between rough Surfaces
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
113
, pp.
1
11
.
11.
Mandelbrot
B. B.
,
Pescoja
D. E.
, and
Paullay
A. J.
,
1984
, “
Fractal Character of fracture surface of metals
,”
Nature
, Vol.
308
, pp.
721
722
.
12.
Majumdar
A.
, and
Tien
L.
,
1990
, “
Fractal characterization and Simulation of Rough Surfaces
,”
Wear
, Vol.
136
, pp.
313
327
.
13.
Nakayama
K.
,
Brecker
J.
, and
Shaw
M. C.
,
1971
, “
Grinding wheel elasticity
,”
ASME Journal of Engineering for Industry
, Vol.
93
, pp.
609
614
.
14.
Nasssirpour
F.
, and
Wu
S. M.
,
1979
, “
Characterization and Analysis of Grinding Wheel Topography as a Stochastic Isotropic Surface
,”
ASME Journal of Engineering for Industry
, Vol.
101
, pp.
165
170
.
15.
Pandit
S. M.
, and
Satyanarayanan
G.
,
1982
, “
A Model for surface Grinding Based on Abrasive Geometry and Elasticity
,”
ASME Journal of Engineering for Industry
, Vol.
104
, pp.
349
357
.
16.
Saini
D. P.
,
Wager
J. G.
, and
Brown
R. H.
,
1982
, “
Practical Significance of Contact Deflection in Grinding
,”
Annals of CIRP
, Vol.
31
(
1
), pp.
215
219
.
17.
Sayles
R. S.
, and
Thomas
T. R.
,
1976
, “
A Stochastic Explanation of Some Struetural Properties of a Ground Surface
,”
Int. J. Prod. Res.
, Vol.
14
, pp.
641
655
.
18.
Sayles
R. S.
, and
Thomas
T. R.
,
1978
, “
Surface Topography as a Non-Stationary Random Process
,”
Nature
, Vol.
271
, pp.
431
434
.
19.
Thomas, T. R., 1982, Rough Surfaces, Longman, London.
20.
Venkatesh
K.
,
Bobji
M. S.
, and
Biswas
S. K.
,
1998
a, “
Some Features Of Surface Topographical Power Spectra Generated By Conventional Machining Of A Ductile Metal
,”
Material science and Engineering A
, Vol.
252
, pp.
153
155
.
21.
Venkatesh, K., Bobji, M. S., and Biswas, S. K., 1998b, “Power Spectra Of Roughness Caused by Grinding of Metals,” to appear in Journal of Material Research.
22.
Wang
Y.
, and
Moon
K. S.
,
1997
, “
A Methodology for the multi resolution Simulation of Grinding wheel Surface
,”
Wear
, Vol.
211
, pp.
218
225
.
23.
Yossifon
S.
,
1982
, “
The Surface Roughness Produced when Austenitic Stainless Steel is Ground by Alumina Wheels
,”
Annals of the CIRP
, Vol.
31
, pp.
225
228
.
This content is only available via PDF.
You do not currently have access to this content.