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arXiv · 1810.05501

Analysis of an atomistic model for anti-plane fracture

Maciej Buze·Thomas Hudson·Christoph Ortner
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Abstract

We develop a model for an anti-plane crack defect posed on a square lattice under an interatomic pair-potential with nearest-neighbour interactions. In particular, we establish existence, local uniqueness and stability of solutions for small loading parameters and further prove qualitatively sharp far-field decay estimates. The latter requires establishing decay estimates for the corresponding lattice Green's function, which are of independent interest.

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Maciej Buze, Thomas Hudson, Christoph Ortner. 2019-11-06. Analysis of an atomistic model for anti-plane fracture. https://arxiv.org/abs/1810.05501

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