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arXiv · 2207.14505

Existence of quasi-static crack evolution for atomistic systems

Rufat Badal·Manuel Friedrich·Joscha Seutter
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Abstract

We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction potentials where we implement a suitable irreversibility condition modeling the breaking of atomic bonding. This leads to a delay differential equation depending on the complete history of the deformation at previous times. We prove existence of solutions and provide numerical tests for the prediction of quasi-static crack growth in particle systems.

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Rufat Badal, Manuel Friedrich, Joscha Seutter. 2022-10-31. Existence of quasi-static crack evolution for atomistic systems. https://arxiv.org/abs/2207.14505

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