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Adhesive contact of a viscoelastic fibrillar surface — a homogenized model
Citation Link: https://doi.org/10.15480/882.16058
Publikationstyp
Journal Article
Date Issued
2025-10-14
Sprache
English
Author(s)
Papangelo, A.
TORE-DOI
Volume
149
Article Number
104535
Citation
Mechanics Research Communications 149: 104535 (2025)
Publisher DOI
Scopus ID
Publisher
Elsevier
A fibrillar interface is modeled as a regular array of cylindrical micropillars bonded to a substrate, with a focus on the viscoelastic properties of the fibrils. A one-dimensional linear constitutive model describes the coupled deformation of an individual fibril and the substrate. For a compliant viscoelastic substrate, the interaction backing layer effect between fibrils through the substrate deformations is also accounted for. In the case of a viscoelastic Winkler-type foundation whose adhesive mechanism is described by the Shrimali–Lopez-Pamies criterion of maximum rate-independent elongation of the foundation elements, an exact analytical solution is derived for the displacement-controlled loading protocol. A leading-order discrete asymptotic model is developed for the Schapery-type rate-independent adhesive contact between the viscoelastic fibrillar substrate and a rigid punch. By neglecting the influence of the backing layer, a homogenized model is derived in detail. The debonding incubation time is introduced, and an analytical approximation for the pull-off force is obtained under conditions of strong adhesion and fast unloading after a long dwell time.
Subjects
Asymptotic model
Fibrillar surface
Homogenization approach
Pull-off force
Rate-independent adhesion
Schapery model
Shrimali–Lopez–Pamies (SLP) model
Viscoelastic contact
DDC Class
620.1: Engineering Mechanics and Materials Science
Publication version
publishedVersion
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Name
1-s2.0-S0093641325001685-main.pdf
Type
Main Article
Size
2.1 MB
Format
Adobe PDF