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Ultrasonic wave propagation in a random particulate composite

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TLDR
In this article, the longitudinal and shear phase velocities, and attenuation of longitudinal waves in the composite were determined as functions of frequency and the volume fraction of the inclusions.
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This article is published in International Journal of Solids and Structures.The article was published on 1980-01-01. It has received 83 citations till now. The article focuses on the topics: Longitudinal wave.

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Citations
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Experimental methods for study of cosserat elastic solids and other generalized elastic continua

TL;DR: In this paper, experimental methods for determining the six Cosserat elastic constants of an isotropic elastic solid and the six relaxation functions of a viscoelastic solid are presented.
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A simple self-consistent analysis of wave propagation in particulate composites

TL;DR: In this article, a simple self-consistent embedding scheme is developed for the approximate analysis of waves in a composite consisting of a matrix containing inclusions, which allows the development of simple explicit equations, comparable with those already known for elastostatics.
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Ultrasonic wave propagation and attenuation in wet bone.

TL;DR: The propagation of ultrasonic longitudinal waves in bovine plexiform and human Haversian bone has been studied over the range 0.5-16 MHz and large values of attenuation were observed.
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Ultrasonic measurement of the thickness, phase velocity, density or attenuation of a thin-viscoelastic plate. Part II: the inverse problem

TL;DR: In this paper, the sensitivity of the through-transmission transfer function to the four acoustical parameters (thickness, wave-speed, density or attenuation) of a thin, linear-viscoelastic plate was analyzed.
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Wave propagation in a random particulate composite at long and short wavelengths

TL;DR: In this article, an experimental determination of the longitudinal and the shear wave velocities in a random particulate composite at both the long and the short wavelength limits was performed, and the experiments were found to be in good agreement with the available long-wavelength (or static) analyses; and contrary to the key assumption of longwavelengths, these theories have been shown to be good down to 1.15.
References
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Journal ArticleDOI

The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems

TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
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A variational approach to the theory of the elastic behaviour of multiphase materials

TL;DR: In this paper, the authors derived upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry.
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On bounds for the overall elastic moduli of inhomogeneous systems—II

TL;DR: The method of Part I is applied in detail to bound the overall elastic moduli of solid composite materials whose phases are uniform but may be arbitrarily anisotropic as mentioned in this paper, where the geometry is assumed such that a composite appears homogeneous and isotropic on average; otherwise it is arbitrary.
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The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations

TL;DR: In this paper, the effective elastic moduli of an isotropic composite material containing randomly distributed spheres of the same size at non-dilute concentrations φ were determined.
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