Discrete Sommerfeld diffraction problems on hexagonal lattice with a zigzag semi-infinite crack and rigid constraint

DOI10.1007/s00033-015-0574-2zbMath1336.78009OpenAlexW1248699220MaRDI QIDQ903260

Basant Lal Sharma

Publication date: 5 January 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0574-2

zbMATH Keywords

latticecrackWiener-Hopfhoneycombhexagonalzigzagrigid ribbonSommerfeld diffraction

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Wave scattering in solid mechanics (74J20) Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Partial difference equations (39A14)

Related Items

On linear waveguides of square and triangular lattice strips: an application of Chebyshev polynomials ⋮ Near-Tip Field for Diffraction on Square Lattice by Crack ⋮ Edge diffraction on triangular and hexagonal lattices: existence, uniqueness, and finite section ⋮ On linear waveguides of zigzag honeycomb lattice ⋮ Diffraction of waves on square lattice by semi-infinite rigid constraint ⋮ On electronic conductance of partially unzipped armchair nanotubes: further analysis ⋮ Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice ⋮ Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem ⋮ On prototypical wave transmission across a junction of waveguides with honeycomb structure ⋮ Scattering on a square lattice from a crack with a damage zone

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