A NUMERICAL SCHEME AND VALIDATION OF THE ASYMPTOTIC ENERGY RELEASE RATE FORMULA FOR A 2D GEL THIN-FILM DEBONDING PROBLEM

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dc.contributor.authorCalderer, Maria carme
dc.contributor.authorHenao, Duvan
dc.contributor.authorSanchez, Manuel a.
dc.contributor.authorSiegel, Ronald a.
dc.contributor.authorSong, Sichen
dc.date.accessioned2025-01-20T16:09:45Z
dc.date.available2025-01-20T16:09:45Z
dc.date.issued2024
dc.description.abstractThis article presents a numerical scheme for the variational model formulated by Calderer et al. [J. Elast., 141 (2020), pp. 51--73] for the debonding of a hydrogel film from a rigid substrate upon exposure to solvent, in the two-dimensional case of a film placed between two parallel walls. It builds upon the scheme introduced by Song et al. [J. Elast., 153 (2023), pp. 651--679] for completely bonded gels, which fails to be robust in the case of gels that are already debonded. The new scheme is used to compute the energy release rate function, based on which predictions are offered for the threshold thickness below which the gel/substrate system is stable against debonding. This study, in turn, makes it possible to validate a theoretical estimate for the energy release rate obtained in the cited works, which is based on a thin-film asymptotic analysis and which, due to its explicit nature, is potentially valuable in medical device development. An existence theorem and rigorous justifications of some approximations made in our numerical scheme are also provided.
dc.fuente.origenWOS
dc.identifier.doi10.1137/23M1579042
dc.identifier.eissn1095-712X
dc.identifier.issn0036-1399
dc.identifier.urihttps://doi.org/10.1137/23M1579042
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90171
dc.identifier.wosidWOS:001301445400010
dc.issue.numero4
dc.language.isoen
dc.pagina.final1791
dc.pagina.inicio1766
dc.revistaSiam journal on applied mathematics
dc.rightsacceso restringido
dc.subjectgels
dc.subjectdebonding
dc.subjectthin film
dc.subjectnonlinear elasticity
dc.subjectFlory-Huggins
dc.titleA NUMERICAL SCHEME AND VALIDATION OF THE ASYMPTOTIC ENERGY RELEASE RATE FORMULA FOR A 2D GEL THIN-FILM DEBONDING PROBLEM
dc.typeartículo
dc.volumen84
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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