Numerical multiscale modelling of nonlinear elastowetting - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 2018

Numerical multiscale modelling of nonlinear elastowetting

Résumé

We investigate here the static finite deformation of two (or more) three-dimensional nonlinear elastic solids which merged in a third medium, define a triple line (TL). The total energy, accounting for elastic, surface and possible gravity potentials is then minimized numerically in order to solve two physical problems of interest: (i) a soft incompressible axisymmetric drop at rest on a stiffer substrate and (ii) a stiff drop at rest upon a softer substrate, both in situations of strong substrate surface tension effects. Because of the interplay between surface and bulks properties, the behavior of the TL is related to another smaller length-scale (typically micrometer scale) than the elastic solids length-scale (typically millimeter scale). A unified deformability parameter relating all scales is introduced and a multi-scale discretization of the domain is used. A first example approached by our model is the elasto-wetting problem in which a very soft drop sits on a stiffer elastic solid. The numerical predictions of our model are compared with the analytical results of the linear elastic theory. In particular, our computations show that the Laplace pressure, together with the asymmetry of the solid surface tensions (between the wet and dry part of the interface), account for the rotation of the cusp of the ridge. In the second example, motivated by indentation problems of a nonlinear elastic substrate by a stiff sphere, we analyse the interplay of the solid surface tensions and elasticity at a small-scale. The numerical results also show that gravity might have an important effect and must be included in any micro-scale modelling.
Fichier principal
Vignette du fichier
NNelastowetting_HAL.pdf (1.28 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01447449 , version 1 (26-01-2017)
hal-01447449 , version 2 (27-06-2017)

Identifiants

Citer

Riccardo de Pascalis, Julien Dervaux, Ioan Ionescu, Laurent Limat. Numerical multiscale modelling of nonlinear elastowetting. European Journal of Mechanics - A/Solids, 2018, ⟨10.1016/j.euromechsol.2018.03.014⟩. ⟨hal-01447449v2⟩
765 Consultations
340 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More