Existence of quasi-static crack evolution for atomistic systems
نویسندگان
چکیده
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 the modeled classical potentials where we implement a suitable irreversibility condition modeling breaking bonding. This leads to delay differential equation depending on complete history deformation at previous times. prove existence solutions and provide numerical tests for prediction crack growth particle systems.
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ژورنال
عنوان ژورنال: Forces in mechanics
سال: 2022
ISSN: ['2666-3597']
DOI: https://doi.org/10.1016/j.finmec.2022.100138