ELASTIC WAVE PROPAGATION IN NANO-COMPOSITES WITH RANDOM DISTRIBUTION OF SPHERICAL INCLUSIONS

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MOHAMMAD RAHIMZADEH

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.

 

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