An analysis of axisymmetric Sezawa waves in elastic solids

Bian, Chunlei; Wang, Ji; Huang, Bin Wen; Xie, Longtao; Yi, Lijun; Yuan, Lili; Li, Honglang; Tian, Yahui

doi:10.1088/1402-4896/ac418f

Cited by 5 publications

(4 citation statements)

References 23 publications

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“…This is different from the Cartesian solutions with constant amplitudes. The reason for such a feature is that the displacement solutions, as given in (33) and earlier studies [11][12][13], are in the Bessel functions with the cylindrical formulation, which decay with the radius and can eventually be approximated as trigonometric functions with a large radius, while the Cartesian formulation with trigonometric solutions has the constant amplitudes. Of course, the dispersion relations with the two formulations are exactly the same.…”

Section: Generalized Stoneley Wave In a Three-layer Structurementioning

confidence: 98%

“…For a semi-infinite space, either a Cartesian or cylindrical coordinate system is appropriate for formulating and solving problems concerning wave propagation for the wave velocity and displacements required in applications. Nevertheless, recent studies by our group have shown that the properties and features of waves are dependent on the chosen coordinate system and also show significant differences in the vicinity of the origin [11][12][13]. As such, the results obtained from different coordinate systems may vary, particularly if the configuration of materials and structures is uncertain or the concern is placed in the wave features near the origin of the coordinate system.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Axisymmetric Generalized Stoneley Wave in Layered Elastic Solids

Yu,

Jing,

Wang

et al. 2024

Acta Phys. Pol. A

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The layered structures of elastic solids have wide applications in various fields of engineering related to natural phenomena, foundations, composite structures, and ultrasonic devices, among others. To have a better understanding of the propagation characteristics of axisymmetric generalized Stoneley waves in a layered structure, the displacement is constructed using the Helmholtz decomposition method with the cylindrical formulation, and then the displacement and stress in the layered structure are presented with potential functions in the wave equations. The transfer matrix method is used to derive the equations of the axisymmetric Stoneley waves in layered elastic solids in the cylindrical coordinates for solutions of wave velocity and amplitudes. With a new formulation in cylindrical coordinates, numerical examples are presented for the dispersion and displacement characteristics of the generalized Stoneley wave of layered solids. The results show that if a low-speed interlayer is added between two semi-infinite media where Stoneley waves do not exist, a wave similar to the Stoneley wave, with displacement decaying exponentially in the semi-infinite direction, can exist. We refer to the Stoneley-like waves that exist in structures with several interlayers between two semi-infinite media as generalized Stoneley waves.

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Section: Generalized Stoneley Wave In a Three-layer Structurementioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Analysis of Axisymmetric Generalized Stoneley Wave in Layered Elastic Solids

Yu,

Jing,

Wang

et al. 2024

Acta Phys. Pol. A

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“…In elasticity, a surface wave on a free surface of a solid elastic body is usually called a Rayleigh wave. Rayleigh waves can be clearly distinguished from other types of wave, thus, their basic propagation properties have been studied in many areas, such as seismology and ultrasound [1,2].…”

Section: Introductionmentioning

confidence: 99%

Enhanced generation and reception of ultrasonic Rayleigh waves through in-phase superposition of waves: theory and experiment

et al. 2023

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Ultrasonic Rayleigh waves have been widely used in nondestructive testing and evaluation as they are sensitive to surface anomalies and conditions of a solid body. The techniques for the generation and reception of Rayleigh waves are mainly based on empirical methods, but theoretical research on these processes can better benefit their practical applications. In this work, a specific theory using a numerical integration is proposed to model wave beam fields generated by the widely used transducers, and to explain the enhanced generation and reception of Rayleigh waves. The simulation results show that Rayleigh waves are enhanced and can be detected through in-phase superposition of waves which are generated by the real sound sources in the solid surface. The reception of Rayleigh waves is also considered, the properties of received waves are thoroughly studied and a reception method with a line source is proposed. Several experiments have been performed to verify the proposed theory, and some important properties or potential applications of corresponding or optimized transducers are discussed based on the theoretical and experimental results.

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“…Wave propagation in solids is an important topic for engineers and scientists in the related fields [1,2]. Particularly, dynamic response of structures under transient moving load has long been an interesting subject in the field of civil, transportation, geological and seismological engineering [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of the half-space subjected to a moving point load and thermal stress

Zhou¹,

Shui²,

Su³

2022

Phys. Scr.

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Dynamic transient response of the half-space subjected to a moving point load and thermal stress is investigated analytically in this study. By employing the Helmholtz decomposition and introducing a moving coordinate system, the corresponding modified partial differential equations of motion for the transient waves in the half-space are firstly obtained. With one-side and two-side Laplace transformation over the new time and space variables, the second-order partial differential equations of motion in the modified system are then simplified as the ordinary differential equations, whose solutions are thereafter obtained when the boundary condition is satisfied. To get the dynamic response in time domain, the analytical solutions in Laplace domain are inverted using the Cagniard-de Hoop method. Some examples are evaluated and discussed in details for the purpose of examining the effect of the moving load and thermal stress on the transient response of the half-space.

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An analysis of axisymmetric Sezawa waves in elastic solids

Cited by 5 publications

References 23 publications

Analysis of Axisymmetric Generalized Stoneley Wave in Layered Elastic Solids

Analysis of Axisymmetric Generalized Stoneley Wave in Layered Elastic Solids

Enhanced generation and reception of ultrasonic Rayleigh waves through in-phase superposition of waves: theory and experiment

Dynamic response of the half-space subjected to a moving point load and thermal stress

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