Analytical study of SH wave scattering by a cylindrical cavity in the two-dimensional and approximately linear inhomogeneous medium

Jiang, Guan-xi-xi; Yang, Zeng-Quan; Sun, Cheng; Song, Yifan; Yang, Yong

doi:10.1080/17455030.2019.1704308

Cited by 7 publications

(7 citation statements)

References 33 publications

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“…To analyze the impact of different values of inhomogeneous parameters on DSCF, the values of inhomogeneous parameters adopted in this paper were based on the selected variables in the study of reference [ 37 ]. The values of variables in reference [ 37 ] can be found in Appendix A . The distribution of DSCFs around the circular pipeline is given in Figure 2 when the density inhomogeneous parameter

= 0.5.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…By comparing the results of the DSCFs around the circular pipeline in the radial and linear terms of the density given by Jiang [ 37 ], the distribution of DSCFs around the circular pipeline given in Figure 2 shows that when the density of the concrete is distributed in the form of a polynomial-exponential coupling, more extreme points appear in the DSCF curves. The amplitudes of DSCF all appear on the surface, and there is no obvious offset with the increase of reference wave number or inhomogeneous parameters.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Reference [ 37 ] presents an inhomogeneous medium with a circular cavity, and its density expression is given as:

where,

and

represent inhomogeneous parameters. When

< 5, the density of the medium is considered to vary continuously in two dimensions.…”

Section: Table A1mentioning

confidence: 99%

“…Reference [37] presents an inhomogeneous medium with a circular cavity, and its density expression is given as:…”

Section: Conflicts Of Interestmentioning

confidence: 99%

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Analytical Study of SH Wave Scattering by a Circular Pipeline in an Inhomogeneous Concrete with Density Variation

et al. 2023

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In this paper, the shear horizontal (SH) wave scattering by a circular pipeline in an inhomogeneous concrete with density variation is studied. A model of inhomogeneous concrete with density variation in the form of a polynomial-exponential coupling function is established. By using the complex function method and conformal transformation, the incident and scattering wave field of SH wave in concrete are obtained, and the analytic expression of dynamic stress concentration factor (DSCF) around the circular pipeline is given. The results show that the inhomogeneous density parameters, the wave number of the incident wave and the angle of the incident wave in concrete are important factors affecting the distribution of dynamic stress around the circular pipe in concrete with inhomogeneous density. The research results can provide a theoretical reference and a basis for analyzing the influence of circular pipeline on elastic wave propagation in an inhomogeneous concrete with density variation.

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= 0.5.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Reference [ 37 ] presents an inhomogeneous medium with a circular cavity, and its density expression is given as:

where,

and

represent inhomogeneous parameters. When

< 5, the density of the medium is considered to vary continuously in two dimensions.…”

Section: Table A1mentioning

confidence: 99%

“…Reference [37] presents an inhomogeneous medium with a circular cavity, and its density expression is given as:…”

Section: Conflicts Of Interestmentioning

confidence: 99%

See 2 more Smart Citations

Analytical Study of SH Wave Scattering by a Circular Pipeline in an Inhomogeneous Concrete with Density Variation

et al. 2023

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“…In recent decades, the theoretical analysis of elastic wave propagation in continuous media has focused on three key aspects: model structure, defect morphology, and constitutive relationships. Scholars have extensively researched these problem categories [3][4][5][6][7]. For instance, Xue et al [3] utilized the wave function expansion method based on magnetoacoustic coupling dynamics theory to address the issues of acoustic wave scattering and dynamic stress concentration in e-type piezoelectric composite materials.…”

Section: Introductionmentioning

confidence: 99%

Transient Response of Dynamic Stress Concentration around a Circular Opening: Incident SH Wave

Weng,

Wang,

Zhou

et al. 2023

Applied Sciences

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The present study aims to investigate the transient response of stress concentration around a circular opening. The study focuses on the composition of the shockwave, which consists of SH waves of multiple frequencies. The wave equation, expressed by the displacement function, is transformed into the Helmholtz equation through the Fourier transform method. The spectral function can be obtained by employing analytic continuation and Fourier transform of the incident wave field. An analytical expression for the dynamic stress around the aperture can be derived using the wave function expansion method and by considering the boundary conditions. The influence of the aperture on the transient response is discussed based on the distribution of the dynamic stress concentration coefficient and stress peak coefficient under different aperture sizes. The results show that the peak of the dynamic stress concentration coefficient changes with the aperture. In contrast, the stress peak coefficient is primarily concentrated in the early stages of the transient response. Furthermore, it is observed that larger radii can induce alternating stress in the material, which may lead to fatigue failure. This strategy provides a solution for addressing similar challenges.

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Antiplane scattering of SH waves by a shallow lined tunnel in a horizontal exponentially inhomogeneous half-space

Wang

Jin³

et al. 2022

Arch Appl Mech

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Analytical study of SH wave scattering by a cylindrical cavity in the two-dimensional and approximately linear inhomogeneous medium

Cited by 7 publications

References 33 publications

Analytical Study of SH Wave Scattering by a Circular Pipeline in an Inhomogeneous Concrete with Density Variation

Analytical Study of SH Wave Scattering by a Circular Pipeline in an Inhomogeneous Concrete with Density Variation

Transient Response of Dynamic Stress Concentration around a Circular Opening: Incident SH Wave

Antiplane scattering of SH waves by a shallow lined tunnel in a horizontal exponentially inhomogeneous half-space

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