Numerical investigation of Rayleigh waves in layered composite piezoelectric structures using the SIGA-PML approach

Liu, Yijie; Lin, Siqi; Li, Yiyi; Li, Chunlei; Liang, Yingjing

doi:10.1016/j.compositesb.2018.09.037

Cited by 18 publications

(4 citation statements)

References 30 publications

(30 reference statements)

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“…In this mathematical model, the Schottky junction is theoretically treated as an electrical gradient layer, in which the steady electron carrier concentration is a function of the space coordinate y and the vertical biasing electric field E y mathematically, as shown in Equation (2). Therefore, Equation ( 21) are modified as…”

Section: The Second Mathematical Modelmentioning

confidence: 99%

“…Surface acoustic waves (SAWs) are elastic waves that propagate on a solid surface, including Rayleigh waves propagating on the surface of a substrate and decaying along Mathematics 2024, 12, 560. https://doi.org/10.3390/math12040560 https://www.mdpi.com/journal/mathematics the depth direction of a semi-infinite medium [1,2], Love waves propagating in a layer over a substrate [3][4][5], and so on. As SAWs have been widely used in nondestructive testing, biological experiments, sensors, and seismology, studying the propagation of SAWs on the surface of a solid medium or in a layer is of great importance.…”

Section: Introductionmentioning

confidence: 99%

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Influence of the Schottky Junction on the Propagation Characteristics of Shear Horizontal Waves in a Piezoelectric Semiconductor Semi-Infinite Medium

Guo,

Wang,

et al. 2024

Mathematics

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In this paper, a theoretical model of the propagation of a shear horizontal wave in a piezoelectric semiconductor semi-infinite medium is established using the optimized spectral method. First, the basic equations of the piezoelectric semiconductor semi-infinite medium are derived with the consideration of biased electric fields. Then, considering the propagation of a shear horizontal wave in the piezoelectric semiconductor semi-infinite medium, two equivalent mathematical models are established. In the first mathematical model, the Schottky junction is theoretically treated as an electrically imperfect interface, and an interface characteristic length is utilized to describe the interface effect of the Schottky junction. To legitimately confirm the interface characteristic length, a second mathematical model is established, in which the Schottky junction is theoretically treated as an electrical gradient layer. Finally, the dispersion and attenuation curves of shear horizontal waves are numerically calculated using these two mathematical models to discuss the influence of the Schottky junction on the dispersion and attenuation characteristics of shear horizontal waves. Utilizing the equivalence of these two mathematical models and the above numerical results, the numerical value of the interface characteristic length is reliably legitimately confirmed; this value is independent of the thickness of the upper metal layer, the doping concentration of the lower n-type piezoelectric semiconductor substrate, and biasing electric fields. Only the biasing electric field parallel to the Schottky junction can provide an evident influence on the attenuation characteristics of shear horizontal waves and enhance the interface effect of the Schottky junction. Since the second mathematical model is also a validation of our previous mathematical model established through the state transfer equation method, some numerical results calculated using these two mathematical models are compared with those obtained using the previous method to verify the correctness and superiority of the research work presented in this paper. Since these two mathematical models can better calculate the dispersion and attenuation curves of high-frequency waves in micro- and nano-scale piezoelectric semiconductor materials, the establishment of mathematical models and the revelation of physical mechanisms are fundamental to the analysis and optimization of micro-scale resonators, energy harvesters, and amplifications.

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Section: The Second Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of the Schottky Junction on the Propagation Characteristics of Shear Horizontal Waves in a Piezoelectric Semiconductor Semi-Infinite Medium

Guo,

Wang,

et al. 2024

Mathematics

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“…Then, the stress components σ j (j = 2, 3, 4, 5, 6) equal approximately zero. Hence, the constitutive equation of the piezoelectric layer can be simplified as 40,41…”

Section: Locally Resonant Metastructure Model With Shunted Piezoelectric Patchesmentioning

confidence: 99%

Tuning of subwavelength topological interface states in locally resonant metastructures with shunted piezoelectric patches

Liu

Fang

Liang

et al. 2021

Journal of Applied Physics

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We investigate the propagation behavior of the low-frequency topological interface state of the flexural wave in the locally resonant metastructure and analyze the tunability of the sub-wavelength interface states by the piezoelectric shunting circuit. One homogeneous thin beam is periodically attached with local resonant beams, which connect shunted piezoelectric actuators. The folding band obtained by merging two primitive unit cells into one new element can generate a Dirac point below the low-frequency locally resonant bandgap. This folding point is opened to develop one new bandgap originated from the Bragg scattering effect by breaking the mirror symmetry. Then, topological transitions are demonstrated during the distance variation between two adjacent resonances. The interface state's existence is further confirmed by using steady and transient analysis of the heterostructure, composed of two media with different topological properties. Finally, we show the relationship between the interface frequency and the capacitance ratio and research the influence of the distance parameter on the topological interface state. Because of the tunability of elastic waves by the piezoelectric shunting circuit, our design has potential for applications such as energy harvesters, filters, and physical switches.

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“…Different damage detection methods were developed and widely documented the literature [1][2][3]. In particular, the use of ultrasonic guided waves has proved to be one of the promising methods for detecting damage [4,5], specifically, with respect to the fundamental modes of Lamb waves [6][7][8] and non-dispersive Rayleigh waves [9][10][11]. Other studies were largely focused on understanding of guided wave interactions with and scattering at various types of defects [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Finite element prediction of acoustoelastic effect associated with Lamb wave propagation in pre-stressed plates

Yang

Mohabuth

et al. 2019

Smart Mater. Struct.

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The paper presents outcomes of a finite element (FE) study of acoustoelastic effect associated with Lamb wave propagation in plates subjected to homogeneous bi-axial and bending stresses.In particular, the change of the phase velocity of the fundamental Lamb wave modes is obtained for different stress levels, bi-axial stress ratios and wave propagation angles. A comparison of the obtained numerical results with an analytical solution demonstrates a very good agreement.Moreover, the influence of bending stress on the wave velocities and wave front profile is further investigated numerically. There are currently no analytical results for this case. The developed and validated FE modelling approach can help to address several issues in the current non-destructive inspections including: in the investigation of changing stress conditions on the defect detection as well as in an adaptation of the existing Lamb wave-based defect evaluation systems to monitoring of stress too. The latter may have many benefits from sharing the same hardware for the purpose of maintaining structural integrity of thin-walled structural components. . Acoustoelastic effect of Lamb wave propagationAcoustoelastic effect is defined as the effect of the applied stress on the wave propagation in a media. It has been studied since the development of the finite deformation theory by Murnaghan [40], who formulated the material nonlinearity using third order elastic constants. Some pioneering studies in this area include the research of Hughes and Kelly [41], who derived equations relating the wave velocity to the applied stress and experimentally measured the acoustoelastic effect. Another experimental study of Egle and Bray [42] demonstrated how to obtain higher-order elastic constants from experiments with bulk waves. In the literature, many developments and studies in the acoustoelasticity mainly focused on and utilised bulk waves (Pau and Scalea [43]). The acoustoelastic effect is usually quantified = (20) So, equation (19), with the energy function presented in equation (16) can be translated to, ¬ = J -. © © = J -. © © © = J -. %)( ) % ©where T is the second Piola-Kirchhoff (PK2) stress. The stress in VUMAT must be updated with the equation at the end ( + ∆ ) of an integration step and stored in stressNew(i), based on the values of F and U given in the subroutine at the end of previous step ( ). Numerical Case Studies 3D Finite Element ModelA 3D FE model of a 6061-T6 aluminium plate was developed with ABAQUS software and the wave propagation problem was solved by the explicit integration approach [49]. The materialproperties of the 6061-T6 aluminium are listed in Table 1. The thickness of the plate is 3.2mm and the in-plane dimension is 240mm×240mm. The element type used in the model is the 8-

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Numerical investigation of Rayleigh waves in layered composite piezoelectric structures using the SIGA-PML approach

Cited by 18 publications

References 30 publications

Influence of the Schottky Junction on the Propagation Characteristics of Shear Horizontal Waves in a Piezoelectric Semiconductor Semi-Infinite Medium

Influence of the Schottky Junction on the Propagation Characteristics of Shear Horizontal Waves in a Piezoelectric Semiconductor Semi-Infinite Medium

Tuning of subwavelength topological interface states in locally resonant metastructures with shunted piezoelectric patches

Finite element prediction of acoustoelastic effect associated with Lamb wave propagation in pre-stressed plates

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