Three-dimensional axisymmetric transient response of an unsaturated poroelastic transversely isotropic half-space

Ma, Wenjie; Wang, Xiaogang; Wang, Binglong; Zhou, Shunhua; Leong, E. C.; Wang, Changdan

doi:10.1016/j.compgeo.2023.105482

Cited by 6 publications

(2 citation statements)

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“…The influence of S r on the propagation characteristics of waves is mainly achieved by its influence on the dynamic shear modulus of the soil. Therefore, referring to the results of previous studies, 72,74,90 the influence factor𝜁of S r on the dynamic shear modulus is introduced in this paper as 𝜁 = (𝜇 𝑠 + 2200 tan 𝜑 ∫ 𝑝 𝑐 0 𝑆 𝑒 𝑑𝑝 𝑐 )∕𝜇 𝑠 . Besides the influence of S r , this paper considers the viscous characteristics of soil by introducing the damping ratio 𝜉.The dynamic modulus of unsaturated soil can be expressed as: 𝐸 𝑑 ℎ = 𝐸 ℎ (1 + 2𝜉𝑖)𝜁, 𝐸 𝑑 𝑣 = 𝐸 𝑣 (1 + 2𝜉𝑖)𝜁, 𝐺 𝑑 𝑣 = 𝐺 𝑣 (1 + 2𝜉𝑖)𝜁.…”

Section: 4mentioning

confidence: 99%

“…As a result, the computational model is only applicable to the axisymmetric case. Ma et al 74 investigated the 3D axisymmetric dynamic response of an unsaturated poroelastic TI half-space subjected to different vertical transient loading types. This paper provided an algorithm for the solution of 3D non-axisymmetric unsaturated TI half-space as an extension of the biphasic to triphasic theory.…”

Section: Introductionmentioning

confidence: 99%

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Three‐dimensional fundamental solution for unsaturated transversely isotropic half‐space under surface time‐harmonic load

Wang

Zhou

et al. 2023

Num Anal Meth Geomechanics

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An analytical solution of unsaturated poroelastic transversely isotropic (TI) half‐space under surface time‐harmonic load with consideration of compressibility, viscous and inertial coupling of soil skeleton, pore‐water and pore‐air, as well as the capillary pressure is investigated in this paper. Firstly, the governing equations of unsaturated TI soil are established in cylindrical coordinate system. Then, the displacement function and operator theory are introduced to decouple the general solution. Secondly, Fourier expansion and Hankel transform are applied to the circumferential and radial coordinates, and the integral general solutions of soil skeleton displacement, pore‐water displacement and pressure, pore‐air displacement and pressure, and the total stress components are derived in the transformed domain. Combined with boundary conditions and continuity conditions, the fundamental solution of unsaturated TI half‐space is obtained. Finally, the proposed solution is verified by benchmarking with two existing solutions. The influence of the TI parameters, vibration frequency and the degree of saturation on the dynamic response of unsaturated poroelastic half‐space is investigated.

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Section: 4mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%