Contact-Time and Relaxation Effects on the Normal Response of Polymer-Coated Internal Cylindrical Surfaces with Deterministic Microtexture: A Layered Viscoelastic Contact Model
- 1Department of Technological Machines and Equipment of Oil and Gas Complex, Siberian Federal University, 660041 Krasnoyarsk, Russia
- 2Department of Foreign Languages for Natural Sciences, Siberian Federal University, 660041 Krasnoyarsk, Russia
Abstract
Deterministic microtexture and viscoelastic coating deformation affect the normal response of polymer-coated internal cylindrical surfaces. An additive model separates statistical land roughness, deterministic Fourier displacement, and the coated-minus-bare periodic-cell increment. Half-space (HS) and finite-thickness (FT) single-asperity laws describe the same prescribed summit population for isolated imprints (class A) and a connected helical groove (class B). At 1 MPa, the relaxed texture factor exceeds the instantaneous factor for both classes, and class A exceeds class B. Across the sampled open-contact states, secant and tangent stiffness increase sublinearly with pressure; tangent stiffness exceeds secant stiffness, and relaxation reduces both. Substrate confinement lowers the class A instantaneous total normal approach from 1.626 μm in HS to 1.139 μm in FT and its instantaneous-to-relaxed increase from 3.23% to 1.27%. For both texture classes in the FT branch, the total normal approach remains below the residual texture depth at all evaluated states and nominal pressures in the range 0.1–5 MPa. Prescribed azimuthal pressure patterns retain their stiffness-spread ranking across classes and elastic endpoints. For a relaxation time of 250 μs, a fixed-location hold of 0.509 ms develops approximately 84% of the endpoint change in the hereditary FT base approach and increases the total approach by 1.07% relative to its instantaneous value. Local hereditary histories also resolve surface recovery during unloading. With component-level verification, the framework supports comparisons of texture, confinement and loading duration while identifying intercomponent coupling as a question for a fully coupled reference solution.
Related
- Comparison of One-Dimensional and Quasi-Two-Dimensional Friction Models for Hydraulic Transient Response and Energy Dissipation in Viscoelastic Pipelines at Different Water Temperatures
- The Investigation of Thermal Stability of Na3V2(PO4)2F3/Hard Carbon Cylindrical Cells Using Accelerating Rate Calorimetry
- Analysis of radial oscillations of gas bubbles in Newtonian or viscoelastic mediums under acoustic excitation
- Tailoring the viscoelastic properties of injectable biocomposites: A spectroscopic assessment of the interactions between organic carriers and bioactive glass particles
- Exact non-static cylindrical solutions of Einstein’s field equations with imperfect fluids
BibTeX
@article{bashmur2026contacttime,
title = {{Contact-Time and Relaxation Effects on the Normal Response of Polymer-Coated Internal Cylindrical Surfaces with Deterministic Microtexture: A Layered Viscoelastic Contact Model}},
author = {Kirill A. Bashmur and Alexander V. Zagulyaev and Ivan S. Nekrasov and Elena V. Tsygankova and Tatiana N. Sviridova},
journal = {Polymers},
year = {2026},
month = oct,
doi = {10.3390/polym18212638},
url = {https://www.mdpi.com/2073-4360/18/21/2638},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Contact-Time and Relaxation Effects on the Normal Response of Polymer-Coated Internal Cylindrical Surfaces with Deterministic Microtexture: A Layered Viscoelastic Contact Model
AU - Kirill A. Bashmur
AU - Alexander V. Zagulyaev
AU - Ivan S. Nekrasov
AU - Elena V. Tsygankova
AU - Tatiana N. Sviridova
PY - 2026
DA - 2026/10/24
JO - Polymers
DO - 10.3390/polym18212638
UR - https://www.mdpi.com/2073-4360/18/21/2638
AB - Deterministic microtexture and viscoelastic coating deformation affect the normal response of polymer-coated internal cylindrical surfaces. An additive model separates statistical land roughness, deterministic Fourier displacement, and the coated-minus-bare periodic-cell increment. Half-space (HS) and finite-thickness (FT) single-asperity laws describe the same prescribed summit population for isolated imprints (class A) and a connected helical groove (class B). At 1 MPa, the relaxed texture factor exceeds the instantaneous factor for both classes, and class A exceeds class B. Across the sampled open-contact states, secant and tangent stiffness increase sublinearly with pressure; tangent stiffness exceeds secant stiffness, and relaxation reduces both. Substrate confinement lowers the class A instantaneous total normal approach from 1.626 μm in HS to 1.139 μm in FT and its instantaneous-to-relaxed increase from 3.23% to 1.27%. For both texture classes in the FT branch, the total normal approach remains below the residual texture depth at all evaluated states and nominal pressures in the range 0.1–5 MPa. Prescribed azimuthal pressure patterns retain their stiffness-spread ranking across classes and elastic endpoints. For a relaxation time of 250 μs, a fixed-location hold of 0.509 ms develops approximately 84% of the endpoint change in the hereditary FT base approach and increases the total approach by 1.07% relative to its instantaneous value. Local hereditary histories also resolve surface recovery during unloading. With component-level verification, the framework supports comparisons of texture, confinement and loading duration while identifying intercomponent coupling as a question for a fully coupled reference solution.
SN - 2073-4360
ER -