Enhancement of adhesion strength in viscoelastic unsteady contacts

Fuente: arXiv
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Autores principales: Mandriota, Cosimo, Menga, Nicola, Carbone, Giuseppe
Formato: Preprint
Publicado: 2024
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author Mandriota, Cosimo
Menga, Nicola
Carbone, Giuseppe
author_facet Mandriota, Cosimo
Menga, Nicola
Carbone, Giuseppe
contents We present a general energy approach to study the unsteady adhesive contact of viscoelastic materials. Under the assumption of infinitely short-range adhesive interactions, we exploit the principle of virtual work to generalize Griffith local energy balance at contact edges to the case of a non conservative (viscoelastic) material, subjected to a generic contact time history. We apply the proposed energy balance criterion to study the approach retraction motion of a rigid sphere in contact with a viscoelastic halfspace. A strong interplay between adhesion and viscoelastic hysteretic losses is reported which can lead to strongly increased adhesion strength, depending on the loading history. Specifically, two different mechanisms are found to govern the increase of pulloff force during either approach retraction cycles and approach, full relaxation, retraction tests. In the former case, hysteretic losses occurring close to the circular perimeter of the contact play a major role, significantly enhancing the energy release rate. In the latter case, instead, the pulloff enhancement mostly depends on the glassy response of the whole (bulk) material which, triggered by the fast retraction after relaxation, leads to a sort of frozen state and results in a flat punch like detachment mechanism (i.e., constant contact area). In this case, the JKR theory of adhesive contact cannot be invoked to relate the observed pulloff force to the effective adhesion energy, i.e. the energy release rate G, and strongly overestimates it. Therefore, a rigorous mathematical procedure is also proposed to correctly calculate the energy release rate in viscoelastic dissipative contacts.
format Preprint
id arxiv_https___arxiv_org_abs_2407_11524
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Enhancement of adhesion strength in viscoelastic unsteady contacts
Mandriota, Cosimo
Menga, Nicola
Carbone, Giuseppe
Soft Condensed Matter
We present a general energy approach to study the unsteady adhesive contact of viscoelastic materials. Under the assumption of infinitely short-range adhesive interactions, we exploit the principle of virtual work to generalize Griffith local energy balance at contact edges to the case of a non conservative (viscoelastic) material, subjected to a generic contact time history. We apply the proposed energy balance criterion to study the approach retraction motion of a rigid sphere in contact with a viscoelastic halfspace. A strong interplay between adhesion and viscoelastic hysteretic losses is reported which can lead to strongly increased adhesion strength, depending on the loading history. Specifically, two different mechanisms are found to govern the increase of pulloff force during either approach retraction cycles and approach, full relaxation, retraction tests. In the former case, hysteretic losses occurring close to the circular perimeter of the contact play a major role, significantly enhancing the energy release rate. In the latter case, instead, the pulloff enhancement mostly depends on the glassy response of the whole (bulk) material which, triggered by the fast retraction after relaxation, leads to a sort of frozen state and results in a flat punch like detachment mechanism (i.e., constant contact area). In this case, the JKR theory of adhesive contact cannot be invoked to relate the observed pulloff force to the effective adhesion energy, i.e. the energy release rate G, and strongly overestimates it. Therefore, a rigorous mathematical procedure is also proposed to correctly calculate the energy release rate in viscoelastic dissipative contacts.
title Enhancement of adhesion strength in viscoelastic unsteady contacts
topic Soft Condensed Matter
url https://arxiv.org/abs/2407.11524