Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models

We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are [Formula: see text] , and that near non...

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Autores principales: Caffarelli, L., Cagnetti, F., Figalli, A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7176608/
https://www.ncbi.nlm.nih.gov/pubmed/32362664
http://dx.doi.org/10.1007/s00205-020-01509-3
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author Caffarelli, L.
Cagnetti, F.
Figalli, A.
author_facet Caffarelli, L.
Cagnetti, F.
Figalli, A.
author_sort Caffarelli, L.
collection PubMed
description We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are [Formula: see text] , and that near non-degenerate points the fracture set is [Formula: see text] , for some [Formula: see text] .
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spelling pubmed-71766082020-04-30 Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models Caffarelli, L. Cagnetti, F. Figalli, A. Arch Ration Mech Anal Article We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are [Formula: see text] , and that near non-degenerate points the fracture set is [Formula: see text] , for some [Formula: see text] . Springer Berlin Heidelberg 2020-04-10 2020 /pmc/articles/PMC7176608/ /pubmed/32362664 http://dx.doi.org/10.1007/s00205-020-01509-3 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Caffarelli, L.
Cagnetti, F.
Figalli, A.
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
title Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
title_full Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
title_fullStr Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
title_full_unstemmed Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
title_short Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
title_sort optimal regularity and structure of the free boundary for minimizers in cohesive zone models
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7176608/
https://www.ncbi.nlm.nih.gov/pubmed/32362664
http://dx.doi.org/10.1007/s00205-020-01509-3
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