Elastodynamical Scattering by N Parallel Half-Planes in IR3

DOI10.1002/mana.19961770112zbMath0846.73013OpenAlexW1996175023MaRDI QIDQ4874967

K. Rottbrand, Erhard Meister

Publication date: 23 September 1996

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19961770112

zbMATH Keywords

boundary value problemsWiener-Hopf equationscomplex-valued matrix functionsdouble-knife screen crack problems

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20)

Related Items

Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem ⋮ Scattering on a square lattice from a crack with a damage zone ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary ⋮ Discrete scattering by a pair of parallel defects ⋮ Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization

Cites Work

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• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
• Commutative Wiener-Hopf factorization of a matrix
• Meromorphic Factorization, Partial Index Estimates and Elastodynamic Diffraction Problems¹)
• The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane
• Generalised factorisation for a class of Jones form matrix functions