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

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Date
2020Type
- Journal Article
Abstract
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 𝐶�1,1/2, and that near non-degenerate points the fracture set is 𝐶�1,𝛼�, for some 𝛼�∈(0,1). Show more
Permanent link
https://doi.org/10.3929/ethz-b-000412433Publication status
publishedExternal links
Journal / series
Archive for Rational Mechanics and AnalysisVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
09565 - Figalli, Alessio / Figalli, Alessio
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