Abstract
Interaction between a thin viscoelastic layer and a rigid cylinder whose contacting end surface is nominally flat but has a microrelief is studied. The microrelief is modeled by a periodic system of axisymmetric indenters. Analytical expressions for the depth of indentation and the real contact area are obtained using an approach based on consideration of micro- and macroscale levels. The effect of the surface microgeometry of the punch and mechanical properties of the layer on the time dependences of the indentation depth and the real contact area is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
C. Putignano and G. Carbone, “A Review of Boundary Elements Methodologies for Elastic and Viscoelastic Rough Contact Mechanics," Phys. Mesomech. 17 (3), 107–117 (2014).
G. Dubois, J. Cesbron, H. P. Yin, and F. Anfosso-Lédée, “Macro-Scale Approach for Rough Frictionless Multi-Indentation on a Viscoelastic Half-Space," Wear 272 (1), 69–78 (2011).
J. Bonari and M. Paggi, “Viscoelastic Effects during Tangential Contact Analyzed by a Novel Finite Element Approach with Embedded Interface Profiles," Lubricants 8 (12), 107 (2020).
I. Ya. Shtaerman, Contact Problem of the Theory of Elasticity (Gostekhteoretizdat, Moscow, Leningrad, 1949) [in Russian].
J. A. Greenwood and J. B. P. Williamson, “Contact of Nominally Flat Surfaces," Proc. Roy. Soc. London. Ser. A 295 (1442), 300–319 (1966).
C. Y. Hui, Y. Y. Lin, and J. M. Baney, “The Mechanics of Tack: Viscoelastic Contact on a Rough Surface," J. Polymer. Sci. B 38 (11), 1485–1495 (2000).
I. I. Argatov, “Indentation of Punch with a Fine-Grained Base into an Elastic Foundation," Prikl. Mekh. Tekh. Fiz. 45 (5), 176–186 (2004) [J. Appl. Mech. Tech. Phys. 45 (5), 764–773 (2004); https://doi.org/10.1023/B:JAMT.0000037976.61963.b6].
O. Abuzeid and P. Eberhard, “Linear Viscoelastic Creep Model for the Contact of Nominal Flat Surfaces Based on Fractal Geometry: Standard Linear Solid (SLS) Material," J. Tribol. 129 (3), 461–466 (2007).
B. N. J. Persson, O. Albohr, C. Creton, and V. Peveri, “Contact Area between a Viscoelastic Solid and a Hard, Randomly Rough, Substrate," J. Chem. Phys. 120 (18), 8779–8793 (2004).
I. G. Goryacheva, Mechanics of Frictional Interaction (Nauka, Moscow, 2001) [in Russian].
A. Yakovenko and I. Goryacheva, “The Periodic Contact Problem for Spherical Indenters and Viscoelastic Half-Space," Tribol. Intern. 161, 107078 (2021).
T. C. T. Ting, “The Contact Stresses between a Rigid Indenter and a Viscoelastic Half-Space," J. Appl. Math. 33 (4), 845–854 (1966).
L. A. Galin, Contact Problems of the Theory of Elasticity (Gostekhteoretizdat, Moscow, 1953) [in Russian].
J. M. Golden and G. A. C. Graham “Boundary-Value Problems in Linear Viscoelasticity," (Springer Verlag, Berlin, 1988).
I. I. Vorovich, V. M. Aleksandrov, and V. A. Babeshko, Nonclassical Mixed Problems of Elasticity Theory (Nauka, Moscow, 1974) [in Russian].
V. M. Aleksandrov, “Some Contact Problems for an Elastic Layer," Prikl. Mat. Mekh. 27 (4), 758–764 (1963).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 5, pp. 22-37. https://doi.org/10.15372/PMTF20210503.
Rights and permissions
About this article
Cite this article
Goryacheva, I.G., Yakovenko, A.A. INDENTATION OF A RIGID CYLINDER WITH A ROUGH FLAT BASE INTO A THIN VISCOELASTIC LAYER. J Appl Mech Tech Phy 62, 723–735 (2021). https://doi.org/10.1134/S0021894421050035
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894421050035