312
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Maugis-Tabor parameter dependence of pull-off in viscoelastic line Hertzian contacts

, &
Pages 972-987 | Received 14 Feb 2022, Accepted 11 Apr 2022, Published online: 20 Apr 2022

References

  • Johnson, K. L.; Kendall, K.; Roberts, A. D. Surface Energy and the Contact of Elastic Solids. Proc. R Soc. Lond. 1971, A324, 301–313. DOI: 10.1098/rspa.1971.0141.
  • 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.
  • Graham, G. A. C. Two Extending Crack Problems in Linear Viscoelasticity Theory. Q. Appl. Math. 1969, 27(4), 497–507. DOI: 10.1090/qam/99809.
  • Schapery, R. A. A Theory of Crack Initiation and Growth in Viscoelastic Media. Int. J. Fracture. 1975, 11(Part I), 141–159. DOI: 10.1007/BF00034721.
  • Gent, A. N.; Schultz, J. Effect of Wetting Liquids on the Strength of Adhesion of Viscoelastic Material. J. Adhes. 1972, 3(4), 281–294. DOI: 10.1080/00218467208072199.
  • Greenwood, J. A.; Johnson, K. L. The Mechanics of Adhesion of Viscoelastic Solids. Philos. Mag. A. 1981, 43(3), 697–711. DOI: 10.1080/01418618108240402.
  • Muller, V. M. On the Theory of Pull-off of a Viscoelastic Sphere from a Flat Surface. J. Adhes. Sci. Technol. 1999, 13(9), 999–1016. DOI: 10.1163/156856199X00479.
  • Ciavarella, M. Improved Muller Approximate Solution of the Pull-off of a Sphere from a Viscoelastic Substrate. J. Adhes. Sci. Technol. 2021, 35(20), 1–9.
  • Johnson, K. L. Contact Mechanics and Adhesion of Viscoelastic Spheres, Microstructure and Microtribology of Polymer Surfaces, Chapter 2pp 24-41, ACS Symposium SeriesVol, Washington DC. 2000, 741. DOI: 10.1021/bk-2000-0741.ch002
  • Hui, C. Y.; Baney, J. M.; Kramer, E. J. Contact Mechanics and Adhesion of Viscoelastic Spheres. Langmuir. 1998, 14(22), 6570–6578. DOI: 10.1021/la980273w.
  • Haiat, G.; Huy, M. P.; Barthel, E. The Adhesive Contact of Viscoelastic Spheres. J. Mech. Phys. Solids. 2003, 51(1), 69–99. DOI: 10.1016/S0022-5096(02)00059-5.
  • Lin, Y. Y.; Hui, C. Y. Mechanics of Contact and Adhesion between Viscoelastic Spheres: An Analysis of Hysteresis during Loading and Unloading. J. Polym. Sci. B Polym. Phys. 2002, 40(9), 772–793. DOI: 10.1002/polb.10140.
  • Ciavarella, M. An Upper Bound for Viscoelastic Pull-off of a Sphere with a Maugis-Dugdale Model. J. Adhes. 2021, 1–14. doi:10.1080/00218464.2021.1954914.
  • Johnson, K. L.; Greenwood, J. A. A Maugis Analysis of Adhesive Line Contact. J. Phys. D Appl. Phys. 2008, 41(15), 155315. DOI: 10.1088/0022-3727/41/15/155315.
  • Müser, M. H.; Persson, B. N. J. Crack and Pull-off Dynamics of Adhesive, Viscoelastic Solids. Europhysics Letters. https://arxiv.org/abs/2108.02031v2 (accessed Apr 18, 2022).
  • Campaná, C.; Müser, M. H. Practical Green’s Function Approach to the Simulation of Elastic Semi-infinite Solids. Phys. Rev. B. 2006, 74(7), 075420. DOI: 10.1103/PhysRevB.74.075420.
  • Sukhomlinov, S.; Müser, M. H. On the Viscous Dissipation Caused by Randomly Rough Indenters in Smooth Sliding Motion. Appl. Sur. Sci. Adv. 2021, 6, 100182. arXiv preprint arXiv:2104.15056 DOI: 10.1016/j.apsadv.2021.100182.
  • Wang, A.; Zhou, Y.; Müser, M. H. Modeling Adhesive Hysteresis. Lubricants. 2021, 9(2), 17. DOI: 10.3390/lubricants9020017.
  • Müser, M. H. Single-asperity Contact Mechanics with Positive and Negative Work of Adhesion: Influence of Finite-range Interactions and a Continuum Description for the Squeeze-out of Wetting Fluids. Beilstein J. Nanotechnol. 2014, 5(1), 419–437. DOI: 10.3762/bjnano.5.50.
  • Persson, B. N. J.; Brener, E. A. Crack Propagation in Viscoelastic Solids. Phys. Rev. E. March 2005, 71(3), 036123. DOI: 10.1103/PhysRevE.71.036123.
  • Jiang, L.; Wu, M.; Yu, Q.; Shan, Y.; Zhang, Y. Investigations on the Adhesive Contact Behaviors between a Viscoelastic Stamp and a Transferred Element in Microtransfer Printing. Coatings. 2021, 11(10), 1201.
  • Debashish, D.; Chasiotis, I. Rate Dependent Adhesion of Nanoscale Polymer Contacts. J. Mech. Phys. Solids. 2021, 156, 104597. DOI: 10.1016/j.jmps.2021.104597.
  • Haiat, G.; Huy, M. P.; Barthel, E. The Adhesive Contact of Viscoelastic Spheres. J. Mech. Phys. Solids. 2003, 51(1), 69–99.
  • Van Dokkum, J. A.; Pérez-Ràfols, F.; Dorogin, L.; Nicola, L. On the Retraction of an Adhesive Cylindrical Indenter from a Viscoelastic Substrate. Tribol. Int. 2021, 164, 107234. DOI: 10.1016/j.triboint.2021.107234.
  • Afferrante, L.; Violano, G. On the Effective Surface Energy in Viscoelastic Hertzian Contacts. J. Mech. Phys. Solids. 2021, 158, 104669.
  • Violano, G.; Chateauminois, A.; Afferrante, L. A JKR-like Solution for Viscoelastic Adhesive Contacts. Front. Mech. Eng. 2021, 7, 25. DOI: 10.3389/fmech.2021.664486.

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.