Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation

Yang, Zeng-Quan; Hei, Baoping; Yao, Wang

doi:10.1007/s10483-015-1937-7

Cited by 20 publications

(4 citation statements)

References 26 publications

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“…The solutions to the response of circular cavities to incident SH‐waves were presented using an analytical and numerical method based on Hayir's relevant work . Yang et al used a complex variable function theory to study the scattering of SH‐waves by circular holes in a radial inhomogeneous media so that the wave field in a radially inhomogeneous media can be controlled and optimized by controlling the media parameters. The theories of elastic‐wave scattering and dynamic stress concentration are also widely used in the study of properties of special materials.…”

Section: Introductionmentioning

confidence: 99%

Stress redistribution of dynamic loading incident with arbitrary waveform through a circular cavity

Tao

Cao³

et al. 2019

Num Anal Meth Geomechanics

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Summary In actual geotechnical and civil engineering, dynamic stress concentrations around cavities generated by wave sources widely exist. In this study, based on the complex variable theory and Fourier transform method, the expression of the dynamic stress concentration factor (DSCF) around a circular cavity in infinite homogeneous media subjected to transient waves with arbitrary waveform is obtained. The relationships between both steady‐state and transient DSCF and their waveform parameters are investigated quantitatively. The results indicate that a relatively large tensile stress is generated with low Poisson's ratio under steady‐state incidence. Under the condition of transient incidence, the position of the wave peak has a minor effect on the DSCF in the case of small wavenumber, but it has a significant effect in the opposite case. It is found that when the wavenumber is high, such as 0.5, the stress response lags behind the stress wave. In addition, the closer the wave peak to the center of the waveform, the greater the potential damage of the transient incidence.

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Section: Introductionmentioning

confidence: 99%

Stress redistribution of dynamic loading incident with arbitrary waveform through a circular cavity

Tao

Cao³

et al. 2019

Num Anal Meth Geomechanics

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“…A wood strip was placed on the ground 2 m away from the drilling hole and pressured by weights. By hammering both ends of the strip to produce a vibrating wave, the time-history curve of the vibrating wave was recorded by the sensor [13,14].…”

Section: Shear Wave Velocity Testmentioning

confidence: 99%

Application of Multi-Electrode Resistivity Method on Semi-Diagenesis Rocks in Freezing Area and Its’ Implications

Kan

Yang

Sun

2022

Sensors

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Recently, with the development of geophysical exploration technology, geophysical engineering instruments and methods have also improved. The multi-electrode resistivity method is widely used in engineering exploration. In this paper, multi-electrode resistivity tests were carried out in a seasonal frozen soil area in Heilongjiang Province, to provide an optimized multi-electrode resistivity method under the conditions of frozen soil. Combined with shear wave velocity tests and standard penetration tests, multi-electrode resistivity tests were used to comprehensively analyze and evaluate the physical and mechanical properties of Tertiary semi-diagenesis rocks. The results show that the high resistivity due to the frozen surface layer acting as a shield can be eliminated by technical means. It is feasible to test the resistivity through the frozen surface layer. The multi-electrode resistivity method can visually reflect the interface between saturated sand and semi-diagenetic rocks. Dividing the interface between saturated sand and semi-diagenetic rocks is advantageous as the morphology of the resistivity curve has a significant curvature change. There is a strong correlation between the resistance and shear wave velocity of a strata in which the Pearson correlation coefficient is as high as 0.99. The multi-electrode resistivity method test used in combination with the shear wave velocity test and the standard penetration test could give the bearing capacity and frictional resistance of semi-diagenetic rocks, which saves a lot of time and material costs in engineering exploration.

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“…This paper aims to investigate the scattering of SH waves in inhomogeneous concrete containing a circular pipeline using complex function theory and conformal transformation proposed in Refs. [ 32 , 33 , 34 , 35 , 36 ]. In Section 2 , the model of density inhomogeneous concrete and the wave field model are introduced.…”

Section: Introductionmentioning

confidence: 99%

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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Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation

Cited by 20 publications

References 26 publications

Stress redistribution of dynamic loading incident with arbitrary waveform through a circular cavity

Stress redistribution of dynamic loading incident with arbitrary waveform through a circular cavity

Application of Multi-Electrode Resistivity Method on Semi-Diagenesis Rocks in Freezing Area and Its’ Implications

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

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