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SUMMARY:Fracture in soft matter: membrane debonding - Carme Calderer (Univ
 ersity of Minnesota)
DTSTART:20250818T101500Z
DTEND:20250818T110000Z
UID:TALK234703@talks.cam.ac.uk
DESCRIPTION:We present a model that combines the theories of Flory and Reh
 ner of polymer swelling with nonlinear elasticity and Griffith&rsquo\;s fr
 acture mechanics to study the debonding of gel membranes from rigid substr
 ates. The model\, validated through laboratory experiments\, is motivated 
 by the design of synthetic polymers that coat medical implants. A main goa
 l is to analyze the energy release rate in order to determine the critical
  thickness below which the gel remains stable against debonding due to swe
 lling-induced stresses. We investigate the ensuing Signorini and obstacle 
 problems that constraint the membrane to remain above its substrate. We al
 so discuss the case of a moving substrate\, where the competition between 
 shearing\, adhesion and bending forces lead to the propagation of Schallam
 ach waves in the film.\nReferences:\n\nExperiments and finite element simu
 lations pertinent to hydrogel debonding from a solid substrate. M.Carme Ca
 lderer\, D. Henao\, Manuel Sanchez\, Ronald A. Siegel and Sichen Song\, Po
 lymer\, 335\, 2025.\nDebonding waves in gel thin films. Xianmin Xu\, M.Car
 me Calderer\, Masao Doi and Duvan Henao. Proc. Royal Soc. A\, 476\, 2020.\
 nGel Debonding from a Rigid Substrate. M. Carme Calderer\, Carlos Garavito
 \, Duvan Henao\, Lorenzo Tapia and Suping Lyu. J. Elast. 141\, 2020.\nExpe
 riments\, Modelling\, and Simulations for a Gel Bonded to a Rigid Substrat
 e. Sichen Song\, Ronald A. Siegel\, Manuel A. S&aacute\;nchez\, M. Carme C
 alderer and Duvan Henao. J. Elast. 153\, 2023.\nA Numerical scheme and val
 idation of the asymptotic energy release rate formula for a two-dimensiona
 l gel thin-film debonding problem. M. Carme Calderer\, Duvan Henao\, Manue
 l Sanchez\, Ronald A. Siegel and Sichen Song. SIAM J. Appl. Math.\, 84\, 2
 024.\nGels: Energetics\, singularities\, and cavitation. M.Carme Calderer\
 , Duvan Henao\, Manuel S&aacute\;nchez\, Ronald A. Siegel and Sichen Song.
  J. Elast. 2024.\nBrandon Chabaud and M.Carme Calderer. Effects of permeab
 ility and viscosity in linear polymeric gels. Math. Meth. Appl. Sci. 39\, 
 2016.\n\n\nGiacomo Canevari\, Universit&agrave\; degli Studi di Verona\n
LOCATION:Seminar Room 1\, Newton Institute
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