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Torsional surface wave propagation in a transversely isotropic FG substrate with piezoelectric over-layer within surface/interface theory
, Article Acta Mechanica ; Volume 231, Issue 6 , 2020 , Pages 2203-2216 ; Mohamadi Shodja, H ; Sharif University of Technology
Springer
2020
Abstract
Propagation of the torsional surface waves in a medium consisting of a functionally graded (FG) substrate bonded to a thin piezoelectric over-layer has been analytically formulated in the mathematical framework of surface/interface elasticity theory. In the cases where the wavelength and/or the thickness of the over-layer are comparable to the surface/interface characteristic length, then the surface/interface effects are not negligible. It is assumed that the over-layer is made of hexagonal 622 crystals with a single axis of rotational symmetry coinciding with the axis of polarization. The half-space is made of an FG transversely isotropic material in which the elasticity tensor and the...
Green's functions of a surface-stiffened transversely isotropic half-space
, Article International Journal of Solids and Structures ; Volume 49, Issue 23-24 , 2012 , Pages 3282-3290 ; 00207683 (ISSN) ; Ahmadi, S. F ; Sharif University of Technology
2012
Abstract
Green's functions of a transversely isotropic half-space overlaid by a thin coating layer are analytically obtained. The surface coating is modeled by a Kirchhoff thin plate perfectly bonded to the half-space. With the aid of superposition technique and employing appropriate displacement potential functions, the Green's functions are expressed in two parts; (i) a closed-form part corresponding to the transversely isotropic half-space with surface kinematic constraints, and (ii) a numerically evaluated part reflecting the interaction between the half-space and the plate in the form of semi-infinite integrals. Some limiting cases of the problem such as surface-stiffened isotropic half-space,...
Computational modeling of the transverse-isotropic elastic properties of single-walled carbon nanotubes
, Article Computational Materials Science ; Volume 49, Issue 3 , 2010 , Pages 544-551 ; 09270256 (ISSN) ; Sadeghi, M ; Naghdabadi, R ; Rafii-Tabar, H ; Sharif University of Technology
2010
Abstract
Various experimental and theoretical investigations have been carried out to determine the elastic properties of nanotubes in the axial direction. Their behavior in transverse directions, however, has not been well studied. In this paper, a combination of molecular dynamics (MD) and continuum-based elasticity model is used to predict the transverse-isotropic elastic properties of single-walled carbon nanotubes (SWCNTs). From this modeling study, five independent elastic constants of an SWCNT in transverse directions are obtained by analyzing its deformations under four different loading conditions, namely, axial tension, torsion, uniform and non-uniform radial pressure. To find the elastic...