Diffusivity of ultrasound in polycrystals

DOI10.1016/0022-5096(90)90021-UzbMath0706.73028MaRDI QIDQ918772

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

zbMATH Keywords

Born approximationcovariance of the Green's dyadicfirst-order smoothing approximationmean Green's dyadicmethod of smoothingMultiple scattering formalismsnondestructive characterization of microstructuresuntextured aggregate of cubic crystallites

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Statistical mechanics of crystals (82D25) Wave scattering in solid mechanics (74J20) Random materials and composite materials (74A40)

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Some personal reflections on acoustic metamaterials ⋮ Propagation of mechanical waves through a stochastic medium with spherical symmetry ⋮ Derivation of a Schrödinger-like equation for elastic waves in granular media ⋮ Influence of local cubic anisotropy on the transition towards an equipartition regime in a 3D texture-less random elastic medium ⋮ Impact of grain shape on seismic attenuation and phase velocity in cubic polycrystalline materials ⋮ Diffusion of elastic waves in a two dimensional continuum with a random distribution of screw dislocations ⋮ Ultrasonic attenuation in polycrystals using a self-consistent approach ⋮ Propagation and scattering of ultrasonic waves in polycrystals with arbitrary crystallite and macroscopic texture symmetries ⋮ Multiple scattering of elastic waves by pinned dislocation segments in a continuum ⋮ Correlation of elastic wave attenuation and scattering with volumetric grain size distribution for polycrystals of statistically equiaxed grains ⋮ Estimates for the elastic moduli of \(d\)-dimensional random cell polycrystals ⋮ Modelling Wave Propagation in Dry Granular Materials ⋮ A far-field scattering model in textured polycrystals with ellipsoidal grains of arbitrary crystal symmetry ⋮ Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media ⋮ Coherent propagation and incoherent diffusion of elastic waves in a two dimensional continuum with a random distribution of edge dislocations ⋮ An integrated model for ultrasonic wave propagation and scattering in a polycrystalline medium with elongated hexagonal grains ⋮ Ultrasonic scattering in polycrystals with orientation clusters of orthorhombic crystallites ⋮ A discussion on high-frequency wave energy behavior in viscoelastic media ⋮ Diffuse ultrasonic backscatter in a two-dimensional domain ⋮ On the macroscopic elastic moduli of inhomogeneous materials and random orthorhombic polycrystals ⋮ Modeling and simulation of ultrasonic beam skewing in polycrystalline materials ⋮ Revised bounds on the elastic moduli of two-dimensional random polycrystals ⋮ Multiple Waves Propagate in Random Particulate Materials

Cites Work

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• A unified theory for elastic wave propagation in polycrystalline materials
• The scattering of ultrasonic waves by polycrystals
• The scattering of ultrasonic waves in polycrystalline materials with texture
• Elastic, Electromagnetic, and Other Waves in a Random Medium

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