A Shear Horizontal Surface Wave in Magnetoelectric Materials

Liu, Jinxi; Fang, Daining; Liu, Xiangling

doi:10.1109/tuffc.2007.388

Cited by 36 publications

(9 citation statements)

References 25 publications

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“…It is worth noting that to find all the suitable eigenvalues and the corresponding eigenvectors is the main mathematical procedure to resolve the coupled equations of motion. Therefore, the authors of papers [79] [80] did not find any true solutions for the coupled equations of motion and the author of this paper cannot agree with their solutions. Their method can be used for the study of this particular and particularistic case and cannot be used for the other cases, for instance, for the problem of the SH-SAW existence in the cubic piezoelectromagnetics.…”

Section: Numerical Results and Discussionmentioning

confidence: 67%

“…These incorrect solutions pertain to the same set of the boundary conditions at the solid-vacuum boundary: σ 32 = 0, φ = φ f , D = D f , ψ = ψ f , and B = B f . The authors of theoretical articles [79] [80] have used the other theoretical methods leading to the other forms [1] that are different from formulae (50), (60), and (66). Moreover, their results discussed in review [1] even differ from each other.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm

Zakharenko¹

2015

OJA

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Two additional solutions of new shear-horizontal surface acoustic waves (SH-SAWs) are found in this theoretical report. The SH-SAW propagation is managed by the free surface of a solid when it has a direct contact with a vacuum. The studied smart solid represents the transversely isotropic piezoelectromagnetic (magnetoelectroelastic or MEE) medium that pertains to crystal symmetry class 6 mm. In the developed theoretical treatment, the solid surface must be mechanically free. Also, the magnetic and electrical boundary conditions at the common interface between a vacuum and the solid surface read: the magnetic and electrical displacements must continue and the same for the magnetic and electrical potentials. To obtain these two new SH-SAW solutions, the natural coupling mechanisms such as e h µ α − and 2 εµ α − present in the coefficient of the magnetoelectromechanical coupling (CMEMC) can be exploited. Based on the obtained theoretical results, it is possible that a set of technical devices (filters, sensors, delay lines, lab-on-a-chip, etc.) based on smart MEE media can be developed. It is also blatant that the obtained theoretical results can be helpful for the further theoretical and experimental studies on the propagation of the plate SHwaves and the interfacial SH-waves in the MEE (composite) media. The most important issue can be the influence of the magnetoelectric effect on the SH-wave propagation. One must also be familiar with the fact that the surface, interfacial, and plate SH-waves can frequently represent a common tool for nondestructive testing and evaluation of surfaces, interfaces, and plates, respectively.

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Section: Numerical Results and Discussionmentioning

confidence: 67%

Section: Numerical Results and Discussionmentioning

confidence: 99%

A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm

Zakharenko¹

2015

OJA

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“…The development of magnetoelectroelastic materials has recently stimulated the studies of some fundamental problems. These investigations include: the existence of surface waves (Alshits et al 1992, Chen et al 2007, Liu et al 2007, wave scattering (Du et al 2004, uniqueness and reciprocity theorems (Li 2003), various Green's function solutions (Chung and Ting 1995, Kirchner and Alshits 1996, Li 2002, Pan 2002, Wang and Shen 2002, Soh et al 2003, Lee and Ma 2007, deformation of multilayered magnetoelectroelastic plates (Pan 2001 and circular tubes or bars (Wang and Zhong 2003), free vibration of simply supported and multilayered magnetoelectroelastic plates (Pan and Heyliger 2002), static fracture problems (Gao et al 2003a, 2003b, Spyropoulos et al 2003, Hu et al 2006, Wang and Mai 2007, and impact problems (Feng et al 2005, Zhou et al 2005. In addition, Soh and Liu (2005) derived eight types of constitutive equation for magnetoelectroelastic solids in which different independent variables were considered.…”

Section: Introductionmentioning

confidence: 99%

A second-order theory for magnetoelectroelastic materials with transverse isotropy

Feng

Pan

Wang

et al. 2008

Smart Mater. Struct.

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In this paper, we concentrate on the basic governing equations of three-dimensional problems in transversely isotropic and nonlinear magnetoelectroelastic materials (i.e., 6m m magnetic crystals). We place emphasis on developing the nonlinear and fully coupled constitutive relations between extended traction (including elastic stress, polarization and magnetization) and extended strain (including elastic strain, electric field and magnetic induction). Simplified results are also presented for the corresponding small deformation problems in the case of both strong magnetic and electric fields and in the case of both weak magnetic and electric fields. The derived concise equations are important in investigating the nonlinear magnetoelectric effects of novel magnetoelectroelastic materials.

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“…Their results showed that the dispersion characteristic of the waves is dominated by the electric boundary conditions on the piezoelectric layer surface. Wang et al [22] and Liu et al [23] almost simultaneously found that a new shear horizontal (SH) surface wave can exist in a transversely isotropic (hexagonal) MEE half-space adjoining a vacuum.…”

mentioning

confidence: 99%

“…In this Letter, we show that three new SH surface waves can also propagate along the surface of an MEE half-space besides the case reported in Refs. [22,23]. The MEE half-space 𝑥 2 ≥ 0 is assumed to be of hexagonal crystal, whose six-fold axis is parallel to the 𝑥 3 direction.…”

mentioning

confidence: 99%

Existence of Shear Horizontal Surface Waves in a Magneto-Electro-Elastic Material

Wei

Liu

Fang

2009

Chinese Phys. Lett.

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The existence of shear horizontal surface waves in a magneto-electro-elastic (MEE) half-space with hexagonal (6 mm) symmetry is investigated. The surface of the MEE half-space is mechanically free, but subjected to four types of electromagnetic boundary conditions. These boundary conditions are electrically open/magnetically closed, electrically open/magnetically open, electrically closed/magnetically open and electrically closed/magnetically closed. It is shown that except for the electrically open/magnetically closed condition, the three other sets of electromagnetic boundary conditions allow the propagation of shear horizontal surface waves.

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A Shear Horizontal Surface Wave in Magnetoelectric Materials

Cited by 36 publications

References 25 publications

A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm

A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm

A second-order theory for magnetoelectroelastic materials with transverse isotropy

Existence of Shear Horizontal Surface Waves in a Magneto-Electro-Elastic Material

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