References analysis of the Wikipedia article "Contact mechanics" in the English version

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H. Hertz, 1881, Über die berührung fester elastischer Körper, Journal für die reine und angewandte Mathematik 92, pp.156-171. (For English version, see: Hertz, H., 1896. On the contact of elastic solids, In: Miscellaneous Papers, Chapter V, pp.146-162. by Hertz, H. and Lenard P., translated by Jones, D. E. and Schott G.A., London: Macmillan.

Hertz, H. R., 1882, Über die Berührung fester elastischer Körper und Über die Härte, Verhandlungen des Vereins zur Beförderung des Gewerbefleisscs, Berlin: Verein zur Beförderung des Gewerbefleisses, pp.449-463 (For English version, see: Hertz, H., 1896. On the contact of rigid elastic solids and on hardness, In: Miscellaneous Papers, Chapter VI, pp.163-183. by Hertz, H. and Lenard P., translated by Jones, D. E. and Schott G.A., London: Macmillan.

doi.org

Johnson, K. L.; Kendall, K.; Roberts, A. D. (1971-09-08). "Surface energy and the contact of elastic solids". Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences. 324 (1558). The Royal Society: 301–313. Bibcode:1971RSPSA.324..301J. doi:10.1098/rspa.1971.0141. ISSN 0080-4630. S2CID 137730057.

Derjaguin, B.V; Muller, V.M; Toporov, Yu.P (1975). "Effect of contact deformations on the adhesion of particles". Journal of Colloid and Interface Science. 53 (2). Elsevier BV: 314–326. Bibcode:1975JCIS...53..314D. doi:10.1016/0021-9797(75)90018-1. ISSN 0021-9797.

Tabor, D (1970-01-01). "The hardness of solids". Reviews of Physics in Technology. 1 (3). IOP Publishing: 145–179. doi:10.1088/0034-6683/1/3/i01. ISSN 0034-6683.

Maugis, Daniel (1992). "Adhesion of spheres: The JKR-DMT transition using a dugdale model". Journal of Colloid and Interface Science. 150 (1). Elsevier BV: 243–269. Bibcode:1992JCIS..150..243M. doi:10.1016/0021-9797(92)90285-t. ISSN 0021-9797.

"The area of contact between stationary and moving surfaces". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 169 (938). The Royal Society: 391–413. 1939-02-07. doi:10.1098/rspa.1939.0005. ISSN 0080-4630.

Archard, J. F. (1957-12-24). "Elastic deformation and the laws of friction". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 243 (1233). The Royal Society: 190–205. Bibcode:1957RSPSA.243..190A. doi:10.1098/rspa.1957.0214. ISSN 0080-4630. S2CID 138707812.

Greenwood, J. A.; Williamson, J. B. P. (1966-12-06). "Contact of nominally flat surfaces". Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 295 (1442). The Royal Society: 300–319. Bibcode:1966RSPSA.295..300G. doi:10.1098/rspa.1966.0242. ISSN 0080-4630. S2CID 137430238.

Bush, A.W.; Gibson, R.D.; Thomas, T.R. (1975). "The elastic contact of a rough surface". Wear. 35 (1). Elsevier BV: 87–111. doi:10.1016/0043-1648(75)90145-3. ISSN 0043-1648.

Persson, B. N. J.; Bucher, F.; Chiaia, B. (2002-04-29). "Elastic contact between randomly rough surfaces: Comparison of theory with numerical results". Physical Review B. 65 (18). American Physical Society (APS): 184106. Bibcode:2002PhRvB..65r4106P. doi:10.1103/physrevb.65.184106. ISSN 0163-1829.

Sneddon, Ian N. (1965). "The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile". International Journal of Engineering Science. 3 (1). Elsevier BV: 47–57. doi:10.1016/0020-7225(65)90019-4. ISSN 0020-7225.

Popov, Valentin L. (2013). "Method of reduction of dimensionality in contact and friction mechanics: A linkage between micro and macro scales". Friction. 1 (1). Springer Science and Business Media LLC: 41–62. doi:10.1007/s40544-013-0005-3. ISSN 2223-7690. S2CID 256405038.

Popova, Elena; Popov, Valentin L. (2020). "Ludwig Föppl and Gerhard Schubert: Unknown classics of contact mechanics". ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 100 (9): e202000203. Bibcode:2020ZaMM..100E0203P. doi:10.1002/zamm.202000203.

Cottle, R.; Pang, J.; Stone, R. (2009-01-01). The Linear Complementarity Problem. Classics in Applied Mathematics. Society for Industrial and Applied Mathematics. doi:10.1137/1.9780898719000. ISBN 9780898716863.

Hanaor, D.; Gan, Y.; Einav, I. (2016). "Static friction at fractal interfaces". Tribology International. 93: 229–238. arXiv:2106.01473. doi:10.1016/j.triboint.2015.09.016. S2CID 51900923.

Zhai, Chongpu; Hanaor, Dorian; Gan, Yixiang (2017). "Contact stiffness of multiscale surfaces by truncation analysis". International Journal of Mechanical Sciences. 131–132. Elsevier BV: 305–316. doi:10.1016/j.ijmecsci.2017.07.018. ISSN 0020-7403.

Mikić, B.B. (1974). "Thermal contact conductance; theoretical considerations". International Journal of Heat and Mass Transfer. 17 (2). Elsevier BV: 205–214. doi:10.1016/0017-9310(74)90082-9. ISSN 0017-9310.

Hyun, Sangil; Robbins, Mark O. (2007). "Elastic contact between rough surfaces: Effect of roughness at large and small wavelengths". Tribology International. 40 (10–12). Elsevier BV: 1413–1422. doi:10.1016/j.triboint.2007.02.003. ISSN 0301-679X.

Leighton; et al. (2016). "Surface-specific flow factors for prediction of friction of cross-hatched surfaces" (PDF). Surface Topography: Metrology and Properties. 4 (2): 025002. Bibcode:2016SuTMP...4b5002L. doi:10.1088/2051-672x/4/2/025002. S2CID 111631084.

Arcoumanis, C.; Ostovar, P.; Mortier, R. (1997-10-01). "Mixed Lubrication Modelling of Newtonian and Shear Thinning Liquids in a Piston-Ring Configuration". SAE Technical Paper Series. Vol. 1. Warrendale, PA. doi:10.4271/972924.

Jedynak, Radosław (2019). "Exact and approximate solutions of the infinite integrals of the asperity height distribution for the Greenwood-Williamson and the Greenwood-Tripp asperity contact models". Tribology International. 130. Elsevier BV: 206–215. doi:10.1016/j.triboint.2018.09.009. ISSN 0301-679X. S2CID 139894096.

Peklenik, J. (September 1967). "Paper 24: New Developments in Surface Characterization and Measurements by Means of Random Process Analysis". Proceedings of the Institution of Mechanical Engineers, Conference Proceedings. 182 (11): 108–126. doi:10.1243/pime_conf_1967_182_309_02. ISSN 0367-8849.

Leighton, M.; Morris, N.; Rahmani, R.; Rahnejat, H. (2017-01-01). "Surface specific asperity model for prediction of friction in boundary and mixed regimes of lubrication" (PDF). Meccanica. 52 (1): 21–33. doi:10.1007/s11012-016-0397-z. ISSN 1572-9648. S2CID 54710212.

Leighton, M; Morris, N; Gore, M; Rahmani, R; Rahnejat, H; King, PD (2016-08-05). "Boundary interactions of rough non-Gaussian surfaces" (PDF). Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology. 230 (11): 1359–1370. doi:10.1177/1350650116656967. ISSN 1350-6501. S2CID 53347629.

Greenwood, J. A.; Tripp, J. H. (1970). "The Contact of Two Nominally Flat Rough Surfaces". Proceedings of the Institution of Mechanical Engineers. 185 (1). SAGE Publications: 625–633. doi:10.1243/pime_proc_1970_185_069_02. ISSN 0020-3483.

Bradley, R.S. (1932). "LXXIX.The cohesive force between solid surfaces and the surface energy of solids". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 13 (86). Informa UK Limited: 853–862. doi:10.1080/14786449209461990. ISSN 1941-5982.

Muller, V.M.; Derjaguin, B.V.; Toporov, Yu.P. (1983). "On two methods of calculation of the force of sticking of an elastic sphere to a rigid plane". Colloids and Surfaces. 7 (3). Elsevier BV: 251–259. doi:10.1016/0166-6622(83)80051-1. ISSN 0166-6622.

TABOR, D. (1977). "Surface Forces and Surface Interactions". Plenary and Invited Lectures. Elsevier. p. 3–14. doi:10.1016/b978-0-12-404501-9.50009-2. ISBN 9780124045019.

Muller, V.M; Yushchenko, V.S; Derjaguin, B.V (1980). "On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane". Journal of Colloid and Interface Science. 77 (1). Elsevier BV: 91–101. Bibcode:1980JCIS...77...91M. doi:10.1016/0021-9797(80)90419-1. ISSN 0021-9797.

Greenwood, J. A. (1997-06-08). "Adhesion of elastic spheres". Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 453 (1961). The Royal Society: 1277–1297. Bibcode:1997RSPSA.453.1277G. doi:10.1098/rspa.1997.0070. ISSN 1364-5021. S2CID 124217562.

Feng, James Q. (2000). "Contact behavior of spherical elastic particles: a computational study of particle adhesion and deformations". Colloids and Surfaces A: Physicochemical and Engineering Aspects. 172 (1–3). Elsevier BV: 175–198. doi:10.1016/s0927-7757(00)00580-x. ISSN 0927-7757.

Johnson, K.L.; Greenwood, J.A. (1997). "An Adhesion Map for the Contact of Elastic Spheres". Journal of Colloid and Interface Science. 192 (2). Elsevier BV: 326–333. Bibcode:1997JCIS..192..326J. doi:10.1006/jcis.1997.4984. ISSN 0021-9797. PMID 9367554.

Zheng, Zhijun; Yu, Jilin (2007). "Using the Dugdale approximation to match a specific interaction in the adhesive contact of elastic objects". Journal of Colloid and Interface Science. 310 (1). Elsevier BV: 27–34. Bibcode:2007JCIS..310...27Z. doi:10.1016/j.jcis.2007.01.042. ISSN 0021-9797. PMID 17335843.

Carpick, Robert W.; Ogletree, D.Frank; Salmeron, Miquel (1999). "A General Equation for Fitting Contact Area and Friction vs Load Measurements". Journal of Colloid and Interface Science. 211 (2). Elsevier BV: 395–400. Bibcode:1999JCIS..211..395C. doi:10.1006/jcis.1998.6027. ISSN 0021-9797. PMID 10049556.

Popov, Valentin L.; Pohrt, Roman; Li, Qiang (2017-09-01). "Strength of adhesive contacts: Influence of contact geometry and material gradients". Friction. 5 (3): 308–325. doi:10.1007/s40544-017-0177-3. ISSN 2223-7690.

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Hanaor, D.; Gan, Y.; Einav, I. (2016). "Static friction at fractal interfaces". Tribology International. 93: 229–238. arXiv:2106.01473. doi:10.1016/j.triboint.2015.09.016. S2CID 51900923.

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Tabor, D (1970-01-01). "The hardness of solids". Reviews of Physics in Technology. 1 (3). IOP Publishing: 145–179. doi:10.1088/0034-6683/1/3/i01. ISSN 0034-6683.

Bush, A.W.; Gibson, R.D.; Thomas, T.R. (1975). "The elastic contact of a rough surface". Wear. 35 (1). Elsevier BV: 87–111. doi:10.1016/0043-1648(75)90145-3. ISSN 0043-1648.

Contact mechanics (English Wikipedia)

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