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math.AP2021
Onset of fracture in random heterogeneous particle chains
Laura Lauerbach, Stefan Neukamm, Mathias Schäffner +1
In mechanical systems it is of interest to know the onset of fracture in dependence of the boundary conditions. Here we study a one-dimensional model which allows for an underlying…
math.AP2021★ 1 cited
Derivation of a variational model for brittle fracture from a random heterogeneous particle chain
Laura Lauerbach, Anja Schlömerkemper
A mathematical continuum limit of the interaction energy of a random particle chain is shown to yield new insight into the effect of microscopic heterogeneities on macroscopic frac…