Multiple Scattering of Waves. II. The Effective Field in Dense Systems

DOI10.1103/PhysRev.85.621zbMath0047.23501OpenAlexW2050249635WikidataQ105366002 ScholiaQ105366002MaRDI QIDQ5813105

Publication date: 1952

Published in: Physical Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrev.85.621

zbMATH Keywords

structure of matter

Related Items

Some personal reflections on acoustic metamaterials, Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Components, Wave attenuation and dispersion in randomly cracked solids---I. Slit cracks, A simple self-consistent analysis of wave propagation in particulate composites, Effective thermoelastic properties of random structure composites reinforced by the clusters of deterministic structure (application to clay nanocomposites), Internal residual stresses in heterogeneous solids -- a statistical theory for particulate composites, Reflection from a multi-species material and its transmitted effective wavenumber, Estimation of effective elastic moduli of random structure composites by the method of fundamental solutions, Generalization of the multiparticle effective field method to random structure matrix composites, Multiple Scattering of Electromagnetic Waves by Random Scatterers of Finite Size, Multiple scattering of elastic waves by a distribution of identical spheres, Elastic waves in a fiber-reinforced composite, Low frequency approximations for effective wavenumbers and moduli of randomly perforated poroelastic media, Propagation and scattering of waves by dense arrays of impenetrable cylinders in a waveguide, A physical scattering model of repeat-pass InSAR correlation for vegetation, Multiple small angle scattering of waves by an inhomogeneous medium, Longitudinal and transverse coherent waves in media containing randomly distributed spheres, FEA in elasticity of random structure composites reinforced by heterogeneities of non canonical shape, Inhomogeneity of the first and second statistical moments of stresses inside the heterogeneities of random structure matrix composites, Variational principles for dynamic problems for inhomogeneous elastic media, One-Dimensional Impurity Bands, A polarization approach to the scattering of elastic waves. II. Multiple scattering from inclusions, Multiple scattering of flexural waves by random configurations of inclusions in thin plates, Scattering attenuation of elastic waves due to low-contrast inclusions, On the thermo-elastostatics of heterogeneous materials. II: Analysis and generalization of some basic hypotheses and propositions, Unnamed Item, Interface integral technique for the thermoelasticity of random structure matrix composites, Scattering of a plane harmonic SH wave by multiple layered inclusions, Propagation of acoustic waves in disordered flows composed of many vortices. I. General aspects, New experimental test of dispersion law for very slow neutrons, Reflection and transmission at low concentration by a depth-varying random distribution of cylinders in a fluid slab-like region, Effective wavenumbers and reflection coefficients for an elastic medium containing random configurations of cylindrical scatterers, The role of interfaces in enhancing the yield strength of composites and polycrystals, Foldy–Lax approximation on multiple scattering by many small scatterers, Effective stiffness of composites reinforced by cylindrical fibers with smooth ends, with potential application to nanocomposites, Transmission and reflection at the boundary of a random two-component composite, Propagation of axial shear waves in elastic composites reinforced with random or regular sets of unidirected fibers, Time-domain numerical simulations of multiple scattering to extract elastic effective wavenumbers, Dielectric properties of matrix composite materials with high volume concentrations of inclusions (effective field approach), Acoustical and optical branches of wave propagation in random particulate composites, Effective conductive and dielectric properties of matrix composites with inclusions of arbitrary shapes, Multiple Scattering of Waves, On Scattering of Waves by Random Distributions. I. Free-Space Scatterer Formalism, On modifications of Newton's second law and linear continuum elastodynamics, Justification of an effective field method in elasto-statics of heterogeneous solids, Models of Continuum with Microcrack Distribution, On the method of reflections, Multiple Waves Propagate in Random Particulate Materials, Propagation of longitudinal elastic waves in composites with a random set of spherical inclusions (effective field approach), Interface Effects and Coherent Waves in Porous Elastic Media, Multiple scattering theory for wave propagation in discrete random media, A variational principle for waves in discrete random media, Multiple Scattering and the Many-Body Problem—Applications to Photomeson Production in Complex Nuclei, Non-Local Models of Stress Field Concentrations and Effective Thermoelastic Properties of Random Structure Composites, Multiple Scattering and Radiation Damping. II, Overall properties of a cracked solid, Effective dynamic properties of 3D composite materials containing rigid penny-shaped inclusions, Effective propagation in a one-dimensional perturbed periodic structure: comparison of several approaches, Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab, Thermoelastic stress fluctuations in random-structure coated particulate composites, The Multiscale Analysis of Multiple Interacting Inclusions Problem: Finite Number of Interacting Inclusions, Molecular Field in the Spherical Model, Ultrasonic wave propagation through a cracked solid, The effective field method in linear problems of statics of composite media, Effective thermoelastic moduli and stress concentrator factors in nanocomposites, Multiple Scattering of Waves. II. ``Hole Corrections in the Scalar Case, EXTENDED FOLDY–LAX APPROXIMATION ON MULTIPLE SCATTERING, Effects of microstructure on the speed and attenuation of elastic waves in porous materials, The Kramers-Kronig relations method and wave propagation in porous elastic media, The Extension of Mie Theory to Multiple Spheres, Self-consistent analysis of waves in a matrix-inclusion composite. III: A matrix containing cracks, Wavelength-dependent electromagnetic parameters for coherent propagation in correlated distributions of small-spaced scatterers, Multiple scattering of antiplane shear waves in a piezoelectric fibrous composite medium with slip at interfaces

Cites Work