48 citations · 102 across the 9 of their papers we have counts for
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math-ph2012★ 17 cited
Localisation for a line defect in an infinite square lattice
D. J. Colquitt, M. J. Nieves, I. S. Jones +2
Localised defect modes generated by a finite line defect composed of several masses, embedded an infinite square cell lattice, are analysed using the linear superposition of Green'…
math-ph2012★ 34 cited
Propagation of Slepyan's crack in a non-uniform elastic lattice
Michael Nieves, Alexander Movchan, Ian Jones +1
We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the princ…