Existence of quasi-static crack evolution for atomistic systems

Badal R, Friedrich M, Seutter J (2022)

Publication Type: Journal article

Publication year: 2022


Book Volume: 9

Article Number: 100138

DOI: 10.1016/j.finmec.2022.100138


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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Badal, R., Friedrich, M., & Seutter, J. (2022). Existence of quasi-static crack evolution for atomistic systems. Forces in Mechanics, 9. https://doi.org/10.1016/j.finmec.2022.100138


Badal, Rufat, Manuel Friedrich, and Joscha Seutter. "Existence of quasi-static crack evolution for atomistic systems." Forces in Mechanics 9 (2022).

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