In this paper, we present a qualitative analysis of the dissipative processes during the failure of the interface between a viscoelastic polymer, characterized by a weak adhesion, and a solid surface. We reassess the "viscoelastic trumpet" model [P.-G. de Gennes, C. R. Acad. Sci. Paris, 307, 1949(1988], to express the viscous energy dissipated in the bulk as a function of the rheological moduli of the material, involving the local frequencies of sollicitation during crack propagation. We deduce from this integral expression the dhesion energy for different kind of materials: (i) we show that, for a crosslinked polymer, the dissipation had been underestimated at low velocities. Indeed, the interface toughness G(V ) starts from a relatively low value, G 0 , daue to local processes near the fracture tip, and rises up to a maximum of order G 0 (µ ∞ /µ 0 ) (where µ 0 and µ ∞ stand for the elastic modulus of the material, respectively at low and high strain frequencies). This enhancement of fracture energy is due to far-field viscous dissipation in the bulk material, and begins for peel-rates V much lower than previously thought. (ii) For a polymer melt, the adhesion energy is predicted to scale as 1/V . In the second part of this paper, we compare some of these latest theoretical predictions with experimental results about the viscoelastic adhesion between a polydimethylsiloxane polymer melt and a glass surface. In particular, the expected dependence of the fracture energy versus separation rate is confirmed by the experimental data, and the observed changes in the concavity of the crack profile are in good agreement with our simple model. More generally, beyond the qulitative and simple picture used for our approach, we expect our theoretical treatment to apply for relatively weak viscoelastic adhesives, for which the crack-tip dissipative term G 0 is weakly dependent on the fracture velocity.
Dewetting of ultrathin polymer films near the glass transition exhibits unexpected front morphologies [G. Reiter, Phys. Rev. Lett. 87, 186101 (2001)]. Here, we present the first theoretical attempt to understand these features, focusing on the shear-thinning behavior of these films. We analyze the profile of the dewetting film, and characterize the time evolution of the dry region radius, R(d)(t), and of the rim height, h(m)(t). After a transient time, depending on the initial thickness, h(m)(t) grows like square root[t] while R(d)(t) increases like exp(square root[t]). Different regimes of growth are expected, depending on the initial film thickness and experimental time range.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.