Abstract
AbstractWe 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 $$C^{1, 1/2}$$C1,1/2, and that near non-degenerate points the fracture set is $$C^{1, \alpha }$$C1,α, for some $$\alpha \in (0, 1)$$α∈(0,1).
Funder
Engineering and Physical Sciences Research Council
Directorate for Mathematical and Physical Sciences
European Research Council
Fundação para a Ciência e a Tecnologia
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
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