Propagation of SH Wave in Composites with Parallel Cylindrical Nanoholes

Article Preview

Abstract:

The effective propagation constants of coherent elastic SH wave in composites with random distributed parallel cylindrical nanoholes in host material are studied. The surface elastic theory is used to consider the surface stress effects and to derive the nontraditional boundary condition on the surface of nanoholes. The plane wave expansion method is applied to obtain the scattering waves from the individual cylindrical nanohole. The multiple scattering effects are taken into consideration by the configuration averaging of random distributed scatterers. The effective velocity and attenuation of coherent SH wave are numerically evaluated. The influence of surface stress is discussed based on the numerical results.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

23-27

Citation:

Online since:

October 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Gurtin M E, Murdoch A I, A continuum theory of elastic material surfaces. Arch. Ration Mech. Anal., 1975, 57: 291-323.

DOI: 10.1007/bf00261375

Google Scholar

[2] Miller R E, Shenoy V B. size-dependent elastic properties of nanosized structural elements, Nanotechnology 2000; 11: 139-147.

DOI: 10.1088/0957-4484/11/3/301

Google Scholar

[3] Huang Z P and Wang J, A theory of hyperelasticity of multi-phase media with surface/interface energy effect, Acta Mechanica, 2006, 182: 195–210.

DOI: 10.1007/s00707-005-0286-3

Google Scholar

[4] Duan H L, Wang J, Karihaloo B L, Huang Z P, Nanoporous material can be made stiffer than non-porous counterparts by surface modification, ACTA Material, 2006, 54: 2983-90.

DOI: 10.1016/j.actamat.2006.02.035

Google Scholar

[5] Wang G F, Wang T J and Feng X Q, Surface effects on the diffraction of plane compressional waves by a nanosized circle hole, Appl. Phys. Letters. 2006, 89: 231923.

DOI: 10.1063/1.2403899

Google Scholar

[6] Wang G F, Diffraction of shear waves by a nanosized spherical cavity. J. Appl. Phys., 2008, 103: 053519.

Google Scholar

[7] Yang R B, Mal A K, Multiple scattering of elastic waves in a fiber-reinforced composite. J. Mech. Phys. Solids, 1994, 42: 1945-(1968).

DOI: 10.1016/0022-5096(94)90020-5

Google Scholar