Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination
Interfaces and Free Boundaries
| dc.creator | Babadjian, Jean-Francois | |
| dc.creator | Henao-Manríque, Duvan Alberto | |
| dc.date | 2021-08-23T22:48:11Z | |
| dc.date | 2022-07-08T20:18:07Z | |
| dc.date | 2021-08-23T22:48:11Z | |
| dc.date | 2022-07-08T20:18:07Z | |
| dc.date | 2016 | |
| dc.date.accessioned | 2023-08-21T22:36:50Z | |
| dc.date.available | 2023-08-21T22:36:50Z | |
| dc.identifier | 1150038 | |
| dc.identifier | 1150038 | |
| dc.identifier | https://hdl.handle.net/10533/250083 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8290901 | |
| dc.description | In this work, we study the emergence of different crack modes in linearly elastic thin films by means of a Gamma-convergence analysis as the thickness tends to zero. We first consider a purely elastic body made of a film deposited on an infinitely stiff substrate through a bonding layer. The displacement mismatch between the film and the substrate generates a cohesive type energy depending on the displacement jump. Then, we consider a single linearly elastic brittle thin film. We show that the limit admissible displacements are of Kirchhoff-Love type outside the cracks, which are themselves transverse. Finally, we study the interplay between transverse cracks and debonding. We come back to the first system made of a film, a bonding layer and a substrate, but now allow it to crack. In the simplified anti-plane setting, in addition to transverse cracks, a threshold criterion acting on the displacement activates either a cohesive or a delamination energy. Some partial results in the general vectorial case are discussed. Author Keywords:Free discontinuity problems | |
| dc.description | functions of bounded deformation | |
| dc.description | Gamma-convergence | |
| dc.description | fracture mechanics | |
| dc.description | thin films | |
| dc.description | Regular 2015 | |
| dc.description | FONDECYT | |
| dc.description | FONDECYT | |
| dc.language | eng | |
| dc.relation | handle/10533/111557 | |
| dc.relation | handle/10533/111541 | |
| dc.relation | handle/10533/108045 | |
| dc.relation | https://revistas.javeriana.edu.co/index.php/cualit/article/view/27720/23128 | |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | info:eu-repo/semantics/article | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.title | Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination | |
| dc.title | Interfaces and Free Boundaries | |
| dc.type | Articulo | |
| dc.type | info:eu-repo/semantics/publishedVersion |