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math.AP2024
Linearization of quasistatic fracture evolution in brittle materials
Manuel Friedrich, Pascal Steinke, Kerrek Stinson
We prove a linearization result for quasistatic fracture evolution in nonlinear elasticity. As the stiffness of the material tends to infinity, we show that rescaled displacement f…
math.AP2024
Strong existence for free discontinuity problems in linear elasticity
Manuel Friedrich, Camille Labourie, Kerrek Stinson
In this note we show Ahlfors-regularity for a large class of quasiminimizers of the Griffith functional. This allows us to prove that, for a range of free discontinuity problems in…
math.AP2024
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials
Manuel Friedrich, Joscha Seutter
We study the atomistic-to-continuum limit for a model of a quasi-static crack evolution driven by time-dependent boundary conditions. We consider a two-dimensional atomic mass spri…