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Dynamic Stress Concentrations Due to Scattering of Elastic SV Waves from a Coated Nanoinclusion with Considerations in the Interfacial Region

Published online by Cambridge University Press:  14 July 2016

A. R. Ghanei Mohammadi  and
P. Hosseini Tehrani
A. R. Ghanei Mohammadi
Affiliation:
Center of Excellence in Railway TransportationSchool of Railway EngineeringIran University of Science and TechnologyTehran, Iran
P. Hosseini Tehrani*
Affiliation:
Center of Excellence in Railway TransportationSchool of Railway EngineeringIran University of Science and TechnologyTehran, Iran
*
*Corresponding author (hosseini_t@iust.ac.ir)
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Abstract

The problem of plane elastic shear waves (SV waves) scattering from a circular nanoinclusion surrounded by an inhomogeneous interphase embedded in an elastic matrix is investigated analytically in this paper. An approach is introduced to account for the simultaneous effects of a graded interphase and surface/interface energy based on Gurtin-Murdoch's model of surface elasticity. Using the wave function expansion method, the Navier equation is solved for all three phases (nanofiber-interphase- matrix). Presenting the results in dimensionless manner, Dynamic Stress Concentration Factors (DSCF) for the present problem are obtained and the effects of several parameters on the results are studied in detail. It is understood that taking the effects of both surface/interface and interphase inhomogeneity into account leads to a significant influence on the DSCF results and consequently on the overall dynamic behavior of the nanocomposites.

Keywords

SV elastic wave scattering from a nanoinclusionInhomogeneous interphaseGurtin-Murdoch model of surface elasticityDynamis stress concentration factors (DSCF)
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 3 , June 2017 , pp. 279 - 288
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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