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Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition Crismale, Vito

Description

I will present recent works about the minimisation of the Griffith energy for brittle fracture in elastic materials, under Dirichlet boundary conditions. Together with Antonin Chambolle (CMAP, à cole Polytechnique) we have proven the existence of minimisers and a phase-field approximation à la Ambrosio-Tortorelli for this energy.

Item Metadata

Title
Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition
Creator
Crismale, Vito
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-03-06T09:59
Description
I will present recent works about the minimisation of the Griffith energy for brittle fracture in elastic materials, under Dirichlet boundary conditions. Together with Antonin Chambolle (CMAP, à cole Polytechnique) we have proven the existence of minimisers and a phase-field approximation à la Ambrosio-Tortorelli for this energy.
Extent
53.0 minutes
Subject
Mathematics; Mechanics of deformable solids; Calculus of variations and optimal control; optimization; Applied mathematics
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Ecole Polytechnique
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2019-09-03
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0380764
URI
http://hdl.handle.net/2429/71579
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International