Startseite Technik Adhesive contact between flat punches with finite edge radius and an elastic half-space
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Adhesive contact between flat punches with finite edge radius and an elastic half-space

  • Lifeng Ma , Robert McMeeking und Eduard Arzt
Veröffentlicht/Copyright: 23. Mai 2013
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

In this paper, the adhesive contact of elastic solids with flat surfaces with an edge radius is studied within the framework of Johnson – Kendall – Roberts theory. Solutions are obtained for the stresses at the contacting surfaces and for the relative displacement of the two bodies due to adhesion and applied load. Results are given for flat-ended punches with rounded edges of small radius to nearly spherical objects with small flat areas (truncated spheres) on their surfaces. The classical Johnson – Kendall – Roberts-model for adhesion and contact between spherical surfaces arises as a limiting case of the results. The pull-off force between the adhering bodies is deduced for the flat-surfaced geometries studied. For small flats, the numerical solutions are similar to the classical Johnson – Kendall – Roberts solution for a sphere.


* Correspondence address, Prof. Dr. Eduard Arzt, Scientific Director and Chairman, Leibniz Institut for New Materials (INM) andProfessor for New Materials, Saarland University, Campus D2 2, D-66123 Saarbrücken, Germany, Tel.: +49 681 9300 500, Fax: +49 681 9300 503, http://www.inm-gmbh.de, E-mail:

References

[1] K.L.Johnson, K.Kendall, A.D.Roberts: Proc. R. Soc. A324 (1971) 301.Suche in Google Scholar

[2] B.V.Derjaguin, V.M.Muller, Y.P.Toporov: J. Colloid Interface Sci.53 (1975) 314.Suche in Google Scholar

[3] D.Maugis: J. Colloid Interface Sci.150 (1992) 243.10.1016/0021-9797(92)90285-TSuche in Google Scholar

[4] K.S.Kim, R.M.McMeeking, K.L.Johnson: J. Mech. Phys. Solids46 (1998) 243.Suche in Google Scholar

[5] A.J.Crosby, M.Hageman, A.Duncan: Langmuir21 (2005) 11738.Suche in Google Scholar

[6] H.E.Jeong, S.H.Lee, J.K.Kim, K.Y.Suh: Langmuir22 (2006) 1640.Suche in Google Scholar

[7] M.Varenberg, A.Peressadko, S.Gorb, E.Arzt: Appl. Phys. Letters89 (2006) 121905.Suche in Google Scholar

[8] R.Spolenak, S.Gorb, H.Gao, E.Arzt: Proc. R. Soc. A461 (2005) 305.Suche in Google Scholar

[9] H.Gao, X.Wang, H.Yao, S.Gorb, E.Arzt: Mech. Mater.37 (2005) 275.Suche in Google Scholar

[10] H.J.Hertz: J. Reine Angew. Math.92 (1882) 156.10.1515/9783112342404-004Suche in Google Scholar

[11] M.Ciavarella: Int. J. Solids Struct.36 (1999) 4149.10.1016/S0020-7683(98)00186-3Suche in Google Scholar

[12] A.M.Korsunsky: J. Strain Analysis36 (2001) 391.10.1243/0309324011514557Suche in Google Scholar

[13] G.M.L.Gladwell: Contact problems in the classical theory of elasticity, Sijthoff and Noordhoff, Alphen an den Rijn, The Netherlands (1980).10.1007/978-94-009-9127-9Suche in Google Scholar

[14] H.Tada, P.C.Paris, G.R.Irwin: The stress analysis of cracks handbook, Del Research Corp., St. Louis (1973).10.1115/1.801535Suche in Google Scholar

[15] P.J.Digby: J. Appl. Mech.48 (1981) 803.10.1115/1.3157738Suche in Google Scholar

[16] K.Kendall: J. Phys. D: Appl. Phys.4 (1971) 1186.10.1088/0022-3727/4/8/320Suche in Google Scholar

[17] E.Arzt, S.Gorb, R.Spolenak: PNAS100 (2003) 10603.Suche in Google Scholar

[18] R.Spolenak, S.Gorb, E.Arzt: Acta Biomater.1 (2004) 5.Suche in Google Scholar

Received: 2007-5-14
Accepted: 2007-9-5
Published Online: 2013-05-23
Published in Print: 2007-11-01

© 2007, Carl Hanser Verlag, München

Artikel in diesem Heft

  1. Contents
  2. Contents
  3. Editorial
  4. Professor Dr. phil. Dr. techn. e. h. Hellmut F. Fischmeister
  5. Basic
  6. Compressive deformation of lamellar microstructures – a short review
  7. Influence of external and internal length scale on the flow stress of copper
  8. Spinodal decomposition of cubic Ti1−xAlxN: Comparison between experiments and modeling
  9. Combined ab-initio and N-K, Ti-L2,3, V-L2,3 electron energy-loss near edge structure studies for TiN and VN films
  10. Gold-enhanced oxidation of silicon nanowires
  11. Numerical determination of parameterised failure curves for ductile structural materials
  12. Relaxation of semiconductor nanostructures using molecular dynamics with analytic bond order potentials*
  13. Examination of phase transformations in the system Fe–N–C by means of nitrocarburising reactions and secondary annealing experiments; the α + ∊ two-phase equilibrium
  14. Applied
  15. On the evolution of secondary hardening carbides in a high-speed steel characterised by APFIM and SANS
  16. Silicon nitride tools for hot rolling of high-alloyed steel and superalloy wires – load analysis and first practical tests
  17. Development of the unloading stiffness during cyclic plastic deformation of a high-strength aluminium alloy in different tempers
  18. Enhanced thermal stability of a cobalt–boron carbide nanocomposite by ion-implantation
  19. Experimental studies and thermodynamic simulation of phase transformations in high Nb containing γ-TiAl based alloys
  20. Kinetics of nanoscale structure development during Mg-vapour reduction of tantalum oxide
  21. On the interaction of ductile damage and materials softening of a Ni-base alloy during hot deformation
  22. Adhesive contact between flat punches with finite edge radius and an elastic half-space
  23. Notifications
  24. DGM News
Heruntergeladen am 4.3.2026 von https://www.degruyterbrill.com/document/doi/10.3139/146.101579/html
Button zum nach oben scrollen