Abstract
In the present study, efforts have been made to theoretically study the diffraction of plane harmonic compressional waves by a spherical nano-inclusion based on the Gurtin-Murdoch surface/interface elasticity theory in which the interface between the nano-inclusion and the matrix is considered as the material surface which has their own mechanical properties. Furthermore, a nano-composite has been considered in order to assess the size effect on the wave propagation characteristics of a plane compressional elastic wave containing the randomly distributed spherical nano-inclusions. Also, the phase velocities and attenuations of P and SV elastic waves along with the related dynamic effective elastic properties have been investigated for a wide variety of frequencies and volume fractions.
Highlights
Using new materials in high-tech industries entails a vast research in this area
Study of elastic wave propagation in composite materials with nano and micro inclusions can result in a better estimation of dynamic effective elastic properties
Using the surface/interface theory, the present study investigated the diffraction of plane P wave by a nano-sized spherical inclusion
Summary
Using new materials in high-tech industries entails a vast research in this area. Researchers have shown great interest in the composite materials containing micro- and nano- inclusions. Propagation of elastic waves is a rarely studied subject in the analysis of new materials field. Study of elastic wave propagation in composite materials with nano and micro inclusions can result in a better estimation of dynamic effective elastic properties. The study facilitates the nondestructive evaluation of the composite materials. It is worth noting that the present study deals with two main subjects. The first subject considers the analysis of elastic wave propagation in elastic environment containing the random distribution of inclusions. The second one focuses on the study of surface effects when the inclusion characteristic size is about nanometers or microns
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