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• W2012524215 abstract "The work is dedicated to the problem of plane monochromatic wave propagation through matrix composite materials with a random set of spherical inclusions. Application of various versions of the effective medium method (EMM) to the solution of this problem is discussed. A basic version of the method that serves for all frequencies of the incident field and can incorporate other versions is developed. The dispersion equations for the wave vectors of the longitudinal and transversal waves in the composite are obtained in the framework of this version. Asymptotic solutions of the dispersion equations in the long and short-wave regions are found in analytical forms. Numerical solutions of the dispersion equations are constructed in a wide region of frequencies that covers the long, middle and short-wave regions. The results of the application of the EMM to the calculation of the phase velocities and attenuation factors of longitudinal and transversal waves in the composites are analyzed for various properties and volume concentrations of the inclusions. Comparisons of the predictions of the method with experimental data are presented." @default.
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• W2012524215 date "2004-06-01" @default.
• W2012524215 modified "2023-10-13" @default.
• W2012524215 title "Propagation of elastic waves in composites with random set of spherical inclusions (effective medium approach)" @default.
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• W2012524215 doi "https://doi.org/10.1016/j.wavemoti.2003.12.013" @default.
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