AI Chat Paper
Discover the SciOpen Platform and Achieve Your Research Goals with Ease.
Search articles, authors, keywords, DOl and etc.
{{expandStatus?'Exit ':''}}Advanced Search
The contact of an elastic quarter- or eighth-space is studied under the condition that the movement of the side surface of the quarter-space is constrained: It can slide freely along the plane of the side surface but its normal movement is blocked (for example, by a rigid wall). The solution of this contact problem can be easily achieved by additionally applying a mirrored load to an elastic half-space. Non-adhesive contact and the Johnson–Kendall–Roberts (JKR)-type adhesive contact between a rigid sphere and an elastic quarter-space under such a boundary condition is numerically simulated using the fast Fourier transform (FFT)-assisted boundary element method (BEM). Contacts of an elastic eighth-space are investigated using the same idea. Depending on the position of the sphere relative to the side edge, different contact behavior is observed. In the case of adhesive contact, the force of adhesion first increases with increasing the distance from the edge of the quarter-space, achieves a maximum, and decreases further to the JKR-value in large distance from the edge. The enhancement of the force of adhesion compared to the half-space-contact is associated with the pinning of the contact area at the edge. We provide the maps of the force of adhesion and their analytical approximations, as well as pressure distributions in the contact plane and inside the quarter-/eighth-space.
Popov V L. Contact Mechanics and Friction. 2nd edn. Berlin: Springer, 2017.
Barber J R. Contact Mechanics. Cham (Switzerland): Springer International Publishing AG, 2018.
Hanson M T, Keer L M. Analysis of edge effects on rail-wheel contact. Wear 144(1–2): 39–55 (1991)
Guo L, Wang W, Zhang Z M, Wong P L. Study on the free edge effect on finite line contact elastohydrodynamic lubrication. Tribol Int 116: 482–490 (2017)
Ma H, Wang D, Tai X Y, Wen B C. Vibration response analysis of blade-disk dovetail structure under blade tip rubbing condition. J Vib Control 23(2): 252–271 (2017)
Benad J. Numerical methods for the simulation of deformations and stresses in turbine blade fir-tree connections. FU Mech Eng 17(1): 1–15 (2019)
Hetényi M. A method of solution for the elastic quarter-plane. J Appl Mech 27(2): 289–296 (1960)
Hetényi M. A general solution for the elastic quarter space. J Appl Mech 37(1): 70–76 (1970)
Keer L M, Lee J C, Mura T. Hetényi’s elastic quarter space problem revisited. Int J Solids Struct 19(6): 497–508 (1983)
Keer L M, Lee J C, Mura T. A contact problem for the elastic quarter space. Int J Solids Struct 20(5): 513–524 (1984)
Hanson M T, Keer L M. A simplified analysis for an elastic quarter-space. Q J Mech Appl Math 43(4): 561–587 (1990)
Guilbault R. A fast correction for traction-free surface of elastic quarter-space. WIT Trans Eng Sci 66: 37–48 (2010).
Zhang Z M, Wang W, Wong P L. An explicit solution for the elastic quarter-space problem in matrix formulation. Int J Solids Struct 50(6): 976–980 (2013)
Zhang H B, Wang W Z, Zhang S G, Zhao Z Q. Modeling of elastic finite-length space rolling-sliding contact problem. Tribol Int 113: 224–237 (2017)
Stan G. The effect of edge compliance on the adhesive contact between a spherical indenter and a quarter-space. Int J Solids Struct 158: 165–175 (2019).
Pohrt R, Li Q. Complete boundary element formulation for normal and tangential contact problems. Phys Mesomech 17(4): 334–340 (2014)
Liu S B, Wang Q, Liu G. A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses. Wear 243(1–2): 101–111 (2000)
Pohrt R, Popov V L. Adhesive contact simulation of elastic solids using local mesh-dependent detachment criterion in boundary elements method. FU Mech Eng 13(1): 3–10 (2015)
Johnson K L, Kendall K, Roberts A D. Surface energy and the contact of elastic solids. P Roy Soc A 324(1558): 301–313 (1971)
Popov V L, Li Q, Lyashenko I A, Pohrt R. Adhesion and friction in hard and soft contacts: Theory and experiment. Friction 9(6): 1688–1706 (2021)
Wang Q J, Sun L L, Zhang X, Liu S B, Zhu D. FFT-based methods for computational contact mechanics. Front Mech Eng 6: 1–20 (2020)
Li Q. Edge effect and indentation depth-dependent contact behavior in contact of an elastic quarter-space. Int J Solids Struct 285: 112552 (2023)
Li Q. Simulation of a single third-body particle in frictional contact. FU Mech Eng 18(4): 537–544 (2020)
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
京公网安备11010802044758号