Localization for a line defect in an infinite square lattice

DOI10.1098/rspa.2012.0579zbMath1371.74139arXiv1208.1871OpenAlexW3099933551MaRDI QIDQ5362119

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Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1871

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Fundamental solutions to PDEs (35A08) Brittle damage (74R05)

Related Items (12)

Explicit formula for amplitudes of waves in lattices with defects and sources and its application for defects detection ⋮ Asymptotics of dynamic lattice Green's functions ⋮ Near-tip field for diffraction on square lattice by rigid constraint ⋮ Schrödinger operators with guided potentials on periodic graphs ⋮ Growth of a semi-infinite inclusion in an elastic wave metamaterial with local resonators ⋮ Wave propagation through periodic lattice with defects ⋮ Scattering on a square lattice from a crack with a damage zone ⋮ Dynamic phenomena and crack propagation in dissimilar elastic lattices ⋮ Laplacians on periodic graphs with guides ⋮ Eigenvalues of periodic difference operators on lattice octants ⋮ Matrix representations of multidimensional integral and ergodic operators ⋮ Algebra of multidimensional periodic operators with defects

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