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

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 an...

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Bibliographic Details
Published in:Journal of mechanics 2017-06, Vol.33 (3), p.279-288
Main Authors: Ghanei Mohammadi, A. R., Hosseini Tehrani, P.
Format: Article
Language:English
Subjects:
Circularity
Coating
Elastic scattering
Elasticity
Energy consumption
Fluid flow
Inhomogeneity
Mathematical models
Nanocomposites
Phases
S waves
Shear
Stress concentration
Studies
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Summary: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.
ISSN:1727-7191
1811-8216
DOI:10.1017/jmech.2016.61