DOI: 10.1098/rsta.1982.0043. Two-dimensional properties of random surfaces

Two-dimensional properties of random surfaces

10.1098/rsta.1982.0043

Crossref journal-article

The Royal Society

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (175)

Abstract

Recent work has shown that it is possible to predict surface parameters measured digitally from a surface profile by means of three points on the autocorrelation function. The weakness of this work has been that only one-dimensional parameters have been evaluated. The present contribution extends the theory to include two-dimensional parameters of the surface which are expressed in terms of between four and seven points on the autocorrelation function depending on the type of surface. It is shown that this technique provides an alternative to traditional mapping methods. It is shown also that as a general rule results obtained from the discrete analysis do not converge to those obtained from the continuous theory. The nature and magnitude of the differences between the two approaches are discussed in detail. Finally, the theoretical results are confirmed experimentally and the general significance of discrete methods reviewed.

Bibliography

Two-dimensional properties of random surfaces. (1982). Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 305(1490), 441â468.

Authors 0

None

References 24 Referenced 62

Bowden F. P. & Tabor D. 1954 Thefunction and Iubrication of solids. Oxford University Press.
{'key': 'p_2', 'first-page': '152', 'article-title': 'The orthant probabilities of four Gaussian variates. math', 'volume': '40', 'author': 'Cheng M. C.', 'year': '1969', 'journal-title': 'Statist.'} / Statist. / The orthant probabilities of four Gaussian variates. math by Cheng M. C. (1969)
{'key': 'p_3', 'first-page': '16', 'article-title': 'Effect of metallic cutting on pitting. mech', 'volume': '4', 'author': 'Dawson P. H.', 'year': '1962', 'journal-title': 'Engng Sci.'} / Engng Sci. / Effect of metallic cutting on pitting. mech by Dawson P. H. (1962)
10.1093/biomet/40.3-4.458
{'key': 'p_5', 'first-page': '699', 'article-title': 'The failure of elastohydrodynamic Iubrication of circumferentially ground discs. Instn mech', 'volume': '190', 'author': 'Dyson A.', 'year': '1976', 'journal-title': 'Engrs.'} / Engrs. / The failure of elastohydrodynamic Iubrication of circumferentially ground discs. Instn mech by Dyson A. (1976)
10.1098/rspa.1975.0138
10.1098/rspa.1966.0242
10.1115/1.3451629
Darned S. & Whitehouse D. J . 1979 Tribology param eter prediction. 57 323-329. (10.1016/0043-1648(79)90106-6)
10.1098/rspa.1974.0056
10.1016/0043-1648(75)90124-6
Lewin L. 1958 Dilogarithms and associatedfunctions. London: Macdonald.
Mikic B. B. r974 Thermal contact conductance; theoretical considerations. Int. Heat Transfer 17 205-214. (10.1016/0017-9310(74)90082-9)
10.1115/1.3451608
10.1093/biomet/41.3-4.351
10.1098/rspa.1972.0038
Sayles R. S. & Thomas T. R. T977 Measurement of the statistical microgeometry of engineering surfaces. Proc. 1st Joint Polytechnic Symposium on Manufacturing Engineering Leicester. Leicester: Leicester Polytechnic.
Sokolnikoff I. S. 1951 Tensor analysis - theory and applications. New York: Wiley.
Suh N. P. 1973 Delamination theory of wear. W ear25 111-124. (10.1016/0043-1648(73)90125-7)
Tabor D. 1975 A simplified account of surface topography and contact between solids. 32 269-271. (10.1016/0043-1648(75)90273-2)
{'key': 'p_21', 'first-page': '223', 'article-title': 'The moment generating functions of the truncated multinormal distribution. R. statist', 'volume': '23', 'author': 'Talliis G. M.', 'year': '1961', 'journal-title': 'Soc. B'} / Soc. B / The moment generating functions of the truncated multinormal distribution. R. statist by Talliis G. M. (1961)
{'key': 'p_22', 'first-page': '221', 'article-title': 'The digital measurement of peaks on surface profiles. mech', 'volume': '20', 'author': 'Whitehouse D. J.', 'year': '1978', 'journal-title': 'Engng. Sci.'} / Engng. Sci. / The digital measurement of peaks on surface profiles. mech by Whitehouse D. J. (1978)
10.1098/rspa.1970.0068
10.1098/rsta.1978.0084

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 1:37 p.m.)
Deposited	4 years, 6 months ago (Feb. 21, 2021, 3:33 a.m.)
Indexed	11 months, 3 weeks ago (Aug. 29, 2024, 1:16 p.m.)
Issued	43 years, 2 months ago (June 16, 1982)
Published	43 years, 2 months ago (June 16, 1982)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	43 years, 2 months ago (June 16, 1982)

Funders 0

None

BibTeX

@article{1982, volume={305}, ISSN={2054-0272}, url={http://dx.doi.org/10.1098/rsta.1982.0043}, DOI={10.1098/rsta.1982.0043}, number={1490}, journal={Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1982}, month=jun, pages={441–468} }

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