48
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Model for an elastic-plastic spherical contact with the DMT adhesion

ORCID Icon &
Pages 1644-1655 | Received 11 Jul 2023, Accepted 05 Oct 2023, Published online: 15 Oct 2023

References

  • Hertz H. Ueber die berührung fester elastischer körper. Journal Für Die Reine Und Angewandte Mathematik. 1881;92(4):156–171.
  • Bradley RS. The cohesive force between solid surfaces and the surface energy of solids. Philos Mag. 1932;13(86):853–862. doi: 10.1080/14786449209461990.
  • Derjaguin BV. Theorie des anhaftens kleiner teilchen. Kolloid Z. 1934;69(2):155–164. doi: 10.1007/BF01433225.
  • Johnson KL, Kendall K, Roberts AD. Surface energy and the contact of elastic solids Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 1971; 324(1558): p. 301–313.
  • Derjaguin BV, Muller VM, Toporov YP. Effect of contact deformations on the adhesion of particles. J Colloid Interface Sci. 1975;53(2):314–326. doi: 10.1016/0021-9797(75)90018-1.
  • Muller VM, Derjaguin BV, Toporov YP. On two methods of calculation of the force of sticking of an elastic shape to a rigid plane. Colloids Surf. 1983;7(3):251–259. doi: 10.1016/0166-6622(83)80051-1.
  • Pashley MD. Further consideration of the DMT model for elastic contact. Colloids Surf. 1984;12(1-2):69–77. doi: 10.1016/0166-6622(84)80090-6.
  • Maugis D. Adhesion of spheres: the JKR-DMT transition using a dugdale model. J Colloid Interface Sci. 1992;150(1):243–269. doi: 10.1016/0021-9797(92)90285-T.
  • Chang WR, Etsion I, Bogy DB. An elastic-plastic model for the contact of rough surfaces. ASME J Tribol. 1987;109(2):257–263. doi: 10.1115/1.3261348.
  • Zhao Y, Maietta DM, Chang L. An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow. ASME J Tribol. 2000;122(1):86–93. doi: 10.1115/1.555332.
  • Kogut L, Etsion I. Elastic-plastic contact analysis of a sphere and a rigid flat. ASME J Appl Mech. 2002;69(5):657–662. doi: 10.1115/1.1490373.
  • Jackson RL, Green I. A finite element study of elasto-plastic hemispherical contact against a rigid flat. ASME J Tribol. 2005;127(2):343–354. doi: 10.1115/1.1866166.
  • Etsion I, Kligerman Y, Kadin Y. Unloading of an elastic-plastic loaded spherical contact. Int J Solids Struct. 2005;42(13):3716–3729. doi: 10.1016/j.ijsolstr.2004.12.006.
  • Chang WR, Etsion I, Bogy DB. Adhesion model for metallic rough surfaces. ASME J Tribol. 1988;110(1):50–56. doi: 10.1115/1.3261574.
  • Kogut L, Etsion I. Adhesion in elastic-plastic spherical microcontact. J Colloid Interface Sci. 2003;261(2):372–378. doi: 10.1016/S0021-9797(03)00071-7.
  • Wang ZQ. A compact and easily accepted continuous model for the elastic-plastic contact of a sphere and a flat. ASME J Appl Mech. 2013;80(1):014506. doi: 10.1115/1.4007230.
  • Wang ZQ, Wang JF. Model for a sphere-flat elastic-plastic adhesion contact. ASME J Tribol. 2017;139(4):041401. doi: 10.1115/1.4034767.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.