Coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic and layered poroelastic half‐space

Zhang, Zhiqing; Pan, Ernian

doi:10.1016/j.apm.2022.10.005

Cited by 16 publications

(4 citation statements)

References 52 publications

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“…By virtue of pore elastic potential theory, He and Wang 14 investigated the influence of the permeability of saturated soil on the dynamic characteristics of the rigid disk in fluid half‐space medium. Considering the existing of transversely isotropic or stratification in the poroelastic soil, Labaki et al., 20 Lin et al., 21 Mohtati et al., 22 Feng et al., 23 Zhang and Pan, 24 and others established many authentic theoretical framework and derived semi‐analytical expressions of the rigid disk, wherein many numerical computational technique (e.g., discretization of the integral equation, extended stiffness matrix method, and Greens functions, etc.) were proposed.…”

Section: Introductionmentioning

confidence: 99%

Horizontal motions of a rigid disk placed on a poroelastic soil layer of finite thickness

Yang

2023

Num Anal Meth Geomechanics

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In the previous studies of rigid disk-soil dynamics, the soil under the foundation is usually treated as a poroelastic half-space medium. However, the waves due to the vibration of rigid disk can reflect and refract back and forth between the finite soil layer and rigid bedrock, which would significantly influence the soil deformation and flow of the rigid disk-soil system. In order to overcome the shortcoming, this paper presents an analytical solution to determine the response of the rigid disk subjected to harmonic horizontal loads resting on poroelastic soil layer overlying rigid bedrock. The displacements and stresses field of the disk and soil are obtained by virtue of the Hankel transform method, dual integral equations method. Furthermore, the rationality and accuracy of the developed solution are confirmed in comparison with the previous studies. Based on the obtained solutions, numerical examples are performed to the effects of the thickness and permeability of poroelastic soil layer on the dynamic response of the rigid disk-soil system in the physical domain.

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Section: Introductionmentioning

confidence: 99%

Horizontal motions of a rigid disk placed on a poroelastic soil layer of finite thickness

Yang

2023

Num Anal Meth Geomechanics

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“…It is worth mentioning that all the previous works only considered the case of linearly elastic, homogeneous and isotropic soil. However, natural soil commonly appears some obvious anisotropy due to long‐term geological processes such as sedimentation 26,27 . Recognition of the complicated failure modes and constitutive relationship of anisotropic soil, its increased theoretical research in recent decades has become an incentive for engineering applications.…”

Section: Introductionmentioning

confidence: 99%

“…However, natural soil commonly appears some obvious anisotropy due to long-term geological processes such as sedimentation. 26,27 Recognition of the complicated failure modes and constitutive relationship of anisotropic soil, its increased theoretical research in recent decades has become an incentive for engineering applications. Form of anisotropy soil with the most common application is perhaps the case of transverse isotropy.…”

Section: Introductionmentioning

confidence: 99%

“…30,31 The presence of transverse isotropy in soil are important in soil dynamics and machine foundation design, which is the benchmark of the spectrum analysis of wave propagation and non-destructive evaluation of substruction. By virtue of the efficient dual variable and position method and accurate semi-infinite integral algorithm, Zhang and Pan 26,32 derived some physical-domain solutions for the forced horizontal dynamic response of transversely isotropic and layered poroelastic half-spaces, and further demonstrated the importance of material anisotropy on the dynamic response. Based on a complete set of potential method for elastic waves generated in transversely isotropic half-space, Moghaddasi et al 33 solved the Lamb's problem for the horizontal dynamic characteristics of a rigid disk.…”

Section: Introductionmentioning

confidence: 99%

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Frequency‐dependent response of a rigid disk on a transversely isotropic soil layer subjected to horizontal motion

Yang

2023

Earthq Engng Struct Dyn

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The transverse isotropy of soil induced by geological processes over a long period has attracted considerable attention, which can lead to significant differences in the origination, propagation and attenuation of the stand waves compared with purely isotropic soil. Considering that the circular geometry is most common in many engineering, an analytical investigation of the dynamic behavior of a rigid disk resting on the transversely isotropic soil layer overlying the rigid bedrock under forced horizontal displacements is presented in this paper. Firstly, the governing equations of soil motion are established based on the elasticity theory of cylindrical coordinate system. Secondly, a set of partial differential equations for this class of problems are decoupled to ordinary differential forms by virtue of complete potential functions, Fourier expansion method and Hankel transform technique. Furthermore, the displacements, strains and stresses formulation in term of the spatial domain under general boundary conditions are obtained with success. For validation, dynamic boundary value problems in the finite‐layered soil containing transversely isotropic materials are degenerated to the isotropic solution corresponding to elastic half‐space. After that, various examples are also included to investigate the influence of the elastic modulus ratio, shear modulus ratio and thickness of soil layer on the dynamic response of the system. The numerical results suggest that the soil anisotropy and soil layer thickness have a non‐neglectful effect on the horizontal dynamic vibration of the rigid disk.

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Vertical Dynamic Analysis of Rigid Strip Foundation on Layered Unsaturated Media

Ai,

Shi,

Sheng

2024

J Elast

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Coupled horizontal and rocking vibrations of a rigid circular disc on the surface of a transversely isotropic and layered poroelastic half‐space

Cited by 16 publications

References 52 publications

Horizontal motions of a rigid disk placed on a poroelastic soil layer of finite thickness

Horizontal motions of a rigid disk placed on a poroelastic soil layer of finite thickness

Frequency‐dependent response of a rigid disk on a transversely isotropic soil layer subjected to horizontal motion

Vertical Dynamic Analysis of Rigid Strip Foundation on Layered Unsaturated Media

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