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An upper bound for viscoelastic pull-off of a sphere with a Maugis-Dugdale model
Publikationstyp
Journal Article
Date Issued
2022
Sprache
English
Author(s)
Institut
Journal
Volume
98
Issue
13
Start Page
2118
End Page
2131
Citation
Journal of Adhesion 98 (13): 2118-2131 (2022)
Publisher DOI
Scopus ID
We develop an extension of the Maugis-Dugdale solution for viscoelastic spheres. We show that we can define two characteristic Tabor parameters, a larger one (Formula presented.) corresponding to relaxed modulus (Formula presented.) and a smaller one (Formula presented.) for instantaneous modulus (Formula presented.) of the material. Only if both are very large (corresponding to the JKR regime, (Formula presented.)) the pull-off load increase due to viscoelastic effect is possibly very large at large pulling speeds, as given by existing solutions and approximately equal to the ratio (Formula presented.), and otherwise the amplification at very high speeds is much reduced and we give a very simple upper bound of the pull-off load as a function of the relaxed Tabor parameter, independently on the exact form of the viscoelastic linear modulus. An example detailed calculation is given for standard material and constant velocity of load reduction. A dependence on preload is found.
Subjects
DMT-JKR models
Dugdale-Maugis model
JKR solution
peeling
Viscoelasticity