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

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  • Additional Information
    • Publication Information:
      Banff International Research Station for Mathematical Innovation and Discovery
    • Publication Date:
      2019
    • Collection:
      University of British Columbia: cIRcle - UBC's Information Repository
    • Subject Terms:
      Banff (Alta.)
    • Abstract:
      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. ; Non UBC ; Unreviewed ; Author affiliation: Ecole Polytechnique ; Postdoctoral
    • File Description:
      53.0 minutes; video/mp4
    • Relation:
      19w5207: Phase-Field Models of Fracture; BIRS Workshop Lecture Videos (Banff, Alta); BIRS-VIDEO-201903060959-Crismale; BIRS-VIDEO-19w5207-31673; http://hdl.handle.net/2429/71579
    • Online Access:
      http://hdl.handle.net/2429/71579
    • Rights:
      Attribution-NonCommercial-NoDerivatives 4.0 International ; http://creativecommons.org/licenses/by-nc-nd/4.0/
    • Accession Number:
      edsbas.675D076F