A simple self-consistent analysis of wave propagation in particulate composites

DOI10.1016/0165-2125(88)90038-8zbMath0632.73005OpenAlexW2047879817WikidataQ59157634 ScholiaQ59157634MaRDI QIDQ1095694

John R. Willis, Federico J. Sabina

Publication date: 1988

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(88)90038-8

zbMATH Keywords

iterationapproximate analysismatrix containing inclusionsscattering from a single inclusionself-consistent embedding schemesimple explicit equations

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Wave scattering in solid mechanics (74J20) Random materials and composite materials (74A40)

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Cites Work

• Unnamed Item
• A variational principle for waves in discrete random media
• Effects of microstructure on the speed and attenuation of elastic waves in porous materials
• Variational principles for dynamic problems for inhomogeneous elastic media
• A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion
• Variational estimates for dispersion and attenuation of waves in random composites. I. General theory
• Continuum micro-mechanics of elastoplastic polycrystals
• Scattering of a Plane Longitudinal Wave by a Spherical Obstacle in an Isotropically Elastic Solid
• Multiple scattering of elastic waves by cylinders of arbitrary cross section. I. SH waves
• Elastic, Electromagnetic, and Other Waves in a Random Medium
• Multiple Scattering of Waves. II. The Effective Field in Dense Systems
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers

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