Approximation of surface wave frequency in piezo-composite structure

Singhal, Abhinav; Sahu, Sanjeev A.; Chaudhary, Soniya

doi:10.1016/j.compositesb.2018.01.017

Cited by 51 publications

(11 citation statements)

References 50 publications

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“…Then proposed an analytical technique to study the shear horizontal wave propagation in a layered pre-stressed rotating cylindrical tube structure consisting of a piezoelectric material layer which is wrapped on piezomagnetic material having an imperfect interface. Singhal 11 , 12 studied the propagation of Love-type wave in functionally graded piezoelectric material layer bonded between piezomagnetic plate and pre-stressed piezoelectric half-space and then used liouville-green approximation to study the surface waves in functionally graded piezoelectric material clubbed between two dissimilar piezomagnetic media. Jiang 13 used the decoupling technique and wave function method to study the dynamic behavior around the circular hole in exponential gradient piezomagnetic material.…”

Section: Introductionmentioning

confidence: 99%

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Liu

2021

Sci Rep

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An analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied. Based on the Helmholtz theorem and the theory of complex function, the elastic-magnetic dynamic equation of magnetostrictive medium is established, and the semi-space incident wave field is written. In addition, based on the theory of complex function and the method of wave function expansion, the expression of the wave function of the scattered displacement field and the corresponding magnetic potential of the scattered wave under the condition of no stress and magnetic insulation of the horizontal boundary are obtained. Then, based on the conditions of free boundary stress, continuous magnetic induction intensity and continuous magnetic potential around the circular cavity, the infinite linear algebraic equations are established. Finally, the analytical expressions of dynamic stress concentration factor and magnetic field intensity concentration factor around circular cavity in semi-space rare earth giant magnetostrictive medium are obtained. Numerical examples show that the analysis results depend on the following parameters: permeability, dimensional-piezomagnetic coefficient, frequency of the incident wave, incident angle, distance between the circular cavity and horizontal boundary. These results have certain reference value for the study of non-destructive testing and failure analysis of rare earth giant magnetostrictive materials.

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Section: Introductionmentioning

confidence: 99%

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Liu

2021

Sci Rep

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“…Remarkable works have been done to reveal the properties of Love-type waves in FGPM coating layer settled on a layer or half-space by applying WKB method. Singhal et al (2018a), Ezzin et al (2017) and Liu and Tani (1991, 1992) have carried out some significant work on wave transference in FGPM and FGM. Singhal et al (2018b) and Sahu et al (2017) have successfully applied the WKB method for modelling of wave propagation in smart material structures.…”

Section: Introductionmentioning

confidence: 99%

“…Singhal et al (2018a), Ezzin et al (2017) and Liu and Tani (1991, 1992) have carried out some significant work on wave transference in FGPM and FGM. Singhal et al (2018b) and Sahu et al (2017) have successfully applied the WKB method for modelling of wave propagation in smart material structures. Wang and Pan (2010) discussed the two-dimensional Eshelby’s problem for two imperfectly bonded piezoelectric halves-planes.…”

Section: Introductionmentioning

confidence: 99%

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

Singh

Sahu

Singhal

et al. 2018

Journal of Intelligent Material Systems and Structures

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In mathematical physics, the Wentzel–Kramers–Brillouin approximation or Wentzel–Kramers–Brillouin method is a technique for finding approximate solutions to linear differential equations with spatially varying coefficients. An attempt has been made to approximate the velocity of surface seismic wave in a piezo-composite structure. In particular, this article studies the dispersion behaviour of Love-type seismic waves in functionally graded piezoelectric material layer bonded between initially stressed piezoelectric layer and pre-stressed piezoelectric half-space. In functionally graded piezoelectric material stratum, theoretical derivations are obtained by the Wentzel–Kramers–Brillouin method where variations in material gradient are taken exponentially. In the upper layer and lower half-space, the displacement components are obtained by employing separation of variables method. Dispersion equations are obtained for both electrically open and short cases. Numerical example and graphical manifestation have been provided to illustrate the effect of influencing parameters on the phase velocity of considered surface wave. Obtained relation has been deduced to some existing results, as particular case of this study. Variation in cut-off frequency and group velocity against the wave number are shown graphically. This study provides a theoretical basis and practical utilization for the development and construction of surface acoustics wave devices.

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“…Hamdi Ezzin et al investigated waves in piezoelectric/piezomagnetic half-space [20,21] and plates [22] by exploiting the stiffness matrix method. The surface wave characteristics in piezo-composite structures were investigated by Singhal [23] et al, utilizing the WKB (Wentzel-Kramers-Brillouin) method.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

Zhang

Elmaimouni

et al. 2018

Materials

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Functionally graded piezoelectric–piezomagnetic (FGPP) material simultaneously consists of piezomagnetic and piezoelectric phases, which are able to convert energy among mechanical, electric, and magnetic fields. The magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied by exploiting the double Legendre orthogonal polynomial method. By means of the Heaviside function, the initial conditions are brought into wave motion equations. Dispersion properties, electric and magnetic potential, and the Poynting vector are calculated. Subsequently, the effect of the graded variation and geometric size on wave characteristics is analyzed. The FGPP fan-shaped cylindrical structures are of complex geometrical shape and material inhomogeneity, so their influences on the magneto-electric effect are the focus of discussion. Results reveal that the cut-off frequencies have a negative relationship with the cross-section area of the structure. The magneto-electric effect could be adjusted via altering the geometric size of the cross-section. These results can be utilized to design and optimize piezoelectric–piezomagnetic fan-shaped transducers.

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Approximation of surface wave frequency in piezo-composite structure

Cited by 51 publications

References 50 publications

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Dynamic anti-plane behavior of rare earth giant magnetostrictive medium with a circular cavity defect in semi-space

Approximation of surface wave velocity in smart composite structure using Wentzel–Kramers–Brillouin method

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

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