Diffraction of elastic waves by a penny-shaped crack: analytical and numerical results
From MaRDI portal
Publication:3323364
DOI10.1098/rspa.1983.0124zbMath0537.73017OpenAlexW2035484199MaRDI QIDQ3323364
Gerry R. Wickham, Paul A. Martin
Publication date: 1983
Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1983.0124
shear modedecoupledcrack faceexpansions of the displacement discontinuitiesfar field quantitiesin terms of radial and angular coordinatesincident elastic waveOpening modepenny- shaped crackreduced to simple Fredholm integral equations of the second kindthree-dimensional elastodynamic problemtwo-dimensional Fredholm integral equations of the second kind
Related Items
Scattering of elastic waves by non-planar cracks, Diffraction of elastic waves by an elliptic crack. II, On axisymmetric solutions for compressible nonlinearly elastic solids, Scattering of elastic waves by a rectangular crack in an anisotropic half-space, A Wiener-Hopf approach for the scattering by a disk, A regularized boundary integral equation method for elastodynamic crack problems, 3-D dynamic interaction between a penny-shaped crack and a thin interlayer joining two elastic half-spaces, Scattering of elastic waves by a crack with spring‐mass contact, Elastic Wave Scattering on a Thin‐Walled Inclusion, Elastic Wave Scattering on a Thin‐Walled Inclusion, Scattering of monochromatic elastic waves on a planar crack of arbitrary shape, Embedding formulae for scattering by three-dimensional structures, Analytical methods for perfect wedge diffraction: a review, 3D elastodynamic crack analysis by a non-hypersingular BIEM, Elastic wave scattering by a circular crack in a transversely isotropic solid, On the boundary integral-equations for the crack opening displacement of flat cracks, Scattering and radiation of water waves by a submerged rigid disc in a two-layer fluid, Acoustic scattering at a gap between two orthogonal, semi-infinite barriers: coordinate and spectral equations, Embedding formulae for diffraction by rational wedge and angular geometries, Pseudo-differential operators for embedding formulae, Modified Smyshlyaev's formulae for the problem of diffraction of a plane wave by an ideal quarter-plane, A note on the polynomial solution of a class of dual integral equations arising in mixed boundary value problems of elasticity, 2-D elastodynamic scattering from a semi-infinite cracklike flaw with interfacial forces, G. R. Wickham: an appreciation