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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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References

1. Guz, I. A. and Rushchitsky, J. J., “Computational simulation of harmonic wave propagation in fibrous micro-and nanocomposites,” Composites science and technology, 67, pp. 861–866 (2007).Google Scholar
2. Dravinski, M. and Yu, M. C., “The effect of impedance contrast upon surface motion due to scattering of plane harmonic P, SV, and Rayleigh waves by a randomly corrugated elastic inclusion,” Journal of seismology, 17, pp. 281–295 (2013).Google Scholar
3. Sumiya, T., Biwa, S. and Haïat, G., “Computational multiple scattering analysis of elastic waves in unidirectional composites,” Wave Motion, 50, pp. 253–270 (2013).Google Scholar
4. Sun, L., Gibson, R. F., Gordaninejad, F. and Suhr, J., “Energy absorption capability of nanocomposites: a review,” Composites Science and Technology, 69, pp. 2392–2409 (2009).Google Scholar
5. Nozaki, H. and Shindo, Y., “Effect of interface layers on elastic wave propagation in a fiber-reinforced metal–matrix composite,” International journal of engineering science, 36, pp. 383–394 (1998).Google Scholar
6. Kanaun, S. K. and Levin, V. M., “Propagation of shear elastic waves in composites with a random set of spherical inclusions (effective field approach),” International journal of solids and structures, 42, pp. 3971–3997 (2005).Google Scholar
7. Sheikhhassani, R. and Dravinski, M., “Scattering of a plane harmonic SH wave by multiple layered inclusions,” Wave Motion, 51, pp. 517–532 (2014).Google Scholar
8. Dravinski, M. and Sheikhhassani, R., “Scattering of a plane harmonic SH wave by a rough multilayered inclusion of arbitrary shape,” Wave Motion, 50, pp. 836–851 (2013).CrossRefGoogle Scholar
9. Benites, R., Aki, K. and Yomogida, K., “Multiple scattering of SH waves in 2-D media with many cavities,” Pure and Applied Geophysics, 138, pp. 353–390 (1992).Google Scholar
10. Dravinski, M. and Yu, M. C., “Scattering of plane harmonic SH waves by multiple inclusions,” Geophysical Journal International, 186, pp. 1331–1346 (2011).CrossRefGoogle Scholar
11. Shindo, Y., Niwa, N. and Togawa, R., “Multiple scattering of antiplane shear waves in a fiber-reinforced composite medium with interfacial layers,” International journal of solids and structures, 35, pp. 733–745 (1998).Google Scholar
12. Shindo, Y. and Niwa, N., “Scattering of antiplane shear waves in a fiber-reinforced composite medium with interfacial layers,” Acta mechanica, 117, pp. 181–190 (1996).CrossRefGoogle Scholar
13. Gurtin, M. E. and Murdoch, A. I., “A continuum theory of elastic material surfaces,” Archive for Rational Mechanics and Analysis, 57, pp. 291–323 (1975).CrossRefGoogle Scholar
14. Ru, Y., Wang, G. F. and Wang, T. J., “Diffractions of elastic waves and stress concentration near a cylindrical nano-inclusion incorporating surface effect,” Journal of Vibration and Acoustics, 131, pp. 061011-1 - 061011-7 (2009).Google Scholar
15. Fang, X. Q., Wang, X. H. and Zhang, L. L., “Interface effect on the dynamic stress around an elliptical nano-inhomogeneity subjected to anti-plane shear waves,” Computers, Materials, & Continua, 16, pp. 229–246 (2010).Google Scholar
16. Ávila-Carrera, R. and Sánchez-Sesma, F. J., “Scattering and diffraction of elastic P-and S-waves by a spherical obstacle: A review of the classical solution,” Geofísica internacional, 45, pp. 3–21 (2006).Google Scholar
17. Shodja, H. M. and Pahlevani, L., “Surface/interface effect on the scattered fields of an anti-plane shear wave in an infinite medium by a concentric multicoated nanofiber/nanotube,” European Journal of Mechanics-A/Solids, 32, pp. 21–31 (2012).Google Scholar
18. Liu, X., Wei, P., Wang, L. and Zhang, G., “Single and Multiple Scattering of Inplane Waves by Nanofibers with Consideration of Interface Effects,” Mechanics of Composite Materials, 50, pp. 317–328 (2014).Google Scholar
19. Ghanei Mohammadi, A. R. and Hosseini Tehrani, P., “Effect of surface elasticity on scattering of elastic P-waves from a nanofiber including an inhomogeneous interphase,” Composite Interfaces, 22, pp. 95–125, (2014).CrossRefGoogle Scholar
20. Ou, Z. Y. and Lee, D. W., “Effects of interface energy on scattering of plane elastic wave by a nanosized coated fiber,” Journal of Sound and Vibration, 331, pp. 5623–5643 (2012).Google Scholar
21. Pao, Y. H. and Mow, C. C., Diffraction of elastic waves and dynamic stress concentrations, Crane, Russack, New York (1973).Google Scholar