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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 1, Pages 99–107 (Mi pmtf1105)  
This article is cited in 14 scientific papers (total in 14 papers)

Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account

I. G. Goryacheva, M. M. Gubenko, Yu. Yu. Makhovskaya

Ishlinskii Institute of Mechanics, Russia Academy of Sciences, Moscow, 117526, Russia
Full-text PDF (367 kB) Citations (14)
Abstract: The problem of sliding of a spherical indenter on a viscoelastic foundation is solved in a quasistatic formulation taking account the forces of adhesive attraction which are considered different at the entrance to and exit from the contact region due to changes in the surface properties during the interaction. It is found that the contact characteristics and the frictional force due to the imperfect elasticity of the foundation depend on the surface and bulk properties of the materials of the interacting bodies and the interaction conditions (load, velocity, etc.).
Keywords: contact interaction, adhesion, friction, viscoelasticity.
Received: 13.06.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 1, Pages 81–88
DOI: https://doi.org/10.1134/S0021894414010118
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: I. G. Goryacheva, M. M. Gubenko, Yu. Yu. Makhovskaya, “Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account”, Prikl. Mekh. Tekh. Fiz., 55:1 (2014), 99–107; J. Appl. Mech. Tech. Phys., 55:1 (2014), 81–88
Citation in format AMSBIB
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\by I.~G.~Goryacheva, M.~M.~Gubenko, Yu.~Yu.~Makhovskaya
\paper Sliding of a spherical indenter on a viscoelastic foundation with the forces of molecular attraction taken into account
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 1
\pages 99--107
\mathnet{http://mi.mathnet.ru/pmtf1105}
\elib{https://elibrary.ru/item.asp?id=21903146}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 1
\pages 81--88
\crossref{https://doi.org/10.1134/S0021894414010118}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1105
  • https://www.mathnet.ru/eng/pmtf/v55/i1/p99
    • This publication is cited in the following 14 articles:
    1. Yu. Yu. Makhovskaya, “Influence of Capillary Adhesion on the Sliding of a Cylinder Along the Surface of an Elastic Solid Taking Account of Wetting Hysteresis”, Mech. Solids, 59:1 (2024), 48  crossref
    2. Yu. Yu. Makhovskaya, “Influence of Capillary Adhesion on the Sliding of a Cylinder Along the Surface of an Elastic Solid Taking Account of Wetting Hysteresis”, Izvestiâ Rossijskoj akademii nauk. Mehanika tverdogo tela, 2024, no. 1, 168  crossref
    3. I. A. Soldatenkov, “Contact with Intermolecular Interaction Forces for a Viscoelastic Layer (Self-Consistent Approach): The Energy Balance for the System of Indenter–Layer–Substrate”, Prikladnaâ matematika i mehanika, 88:3 (2024), 456  crossref
    4. S. V. Shil'ko, D. A. Chernous, S. V. Panin, “Modeling of Bionically Inspired Antifriction and Connective Layers in a Joint Prosthesis”, Phys Mesomech, 26:1 (2023), 93  crossref
    5. E. V. Torskaya, “Modeling of Contact Interaction of Two-Layer Bodies Taking into Account Adhesion and Rheological Properties of Coating or Substrate Materials”, Mech. Solids, 58:9 (2023), 3008  crossref
    6. Dongze Wang, Gregory de Boer, Anne Neville, Ali Ghanbarzadeh, “A Review on Modelling of Viscoelastic Contact Problems”, Lubricants, 10:12 (2022), 358  crossref
    7. I. A. Soldatenkov, “Contact with Intermolecular Interaction for a Viscoelastic Layer (Self-Consistent Approach): Energy Dissipation under Indentation and Friction Force”, Mech. Solids, 57:7 (2022), 1701  crossref
    8. Elena V. Torskaya, Fedor I. Stepanov, Biologically-Inspired Systems, 15, Contact Problems for Soft, Biological and Bioinspired Materials, 2022, 199  crossref
    9. Irina Goryacheva, Yulia Makhovskaya, Discrete Contact Mechanics with Applications in Tribology, 2022, 101  crossref
    10. I. A. Soldatenkov, “Contact with Intermolecular Interactions for a Viscoelastic Layer (Self-Consistent Approach): Feature Analysis of the Indenter Approach/Retract Process”, Mech. Solids, 56:7 (2021), 1259  crossref
    11. I. A. Soldatenkov, “Contact with Intermolecular Interaction Forces for a Viscoelastic Layer (Self-Consistent Approach): Calculation of the Stress-Strain State and Energy Dissipation”, Mech. Solids, 55:7 (2020), 1077  crossref
    12. Elena V. Torskaya, Fedor I. Stepanov, “Effect of Surface Layers in Sliding Contact of Viscoelastic Solids (3-D Model of Material)”, Front. Mech. Eng., 5 (2019)  crossref
    13. A. N. Lyubicheva, “Closed-form solution of axisymmetric contact problem for a viscoelastic base within cycle of increasing and decreasing of load on the indenter”, J. Frict. Wear, 38:2 (2017), 138  crossref
    14. Irina Goryacheva, Yulia Makhovskaya, “Adhesion effect in sliding of a periodic surface and an individual indenter upon a viscoelastic base”, The Journal of Strain Analysis for Engineering Design, 51:4 (2016), 286  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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