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Analysis of an atomistic model for anti-plane fracture. (arXiv:1810.05501v1 [math.AP])
来源于:arXiv
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. 查看全文>>