• Title/Summary/Keyword: Biot's theory

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FINITE ELEMENT ANALYSIS OF FLUID-SATURATED GROUND SYSTEM UNDER INCREMENTAL EXCAVATION (침수지반의 단계적 굴착해석)

  • 구정회;홍순조;김문겸;황학주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.207-212
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    • 1993
  • In the construction of underground structures, it is critical to accurately predict the ground deformations during excavation. In this paper, a finite element procedure for the computation of solid displacement and fluid pore pressure during incremental excavation is presented based on Biot's theory. The numerical formulation is done using the virtual work principle. The proposed procedure is applied to some example problems with different excavation rates and permeabilities.

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Analysis of Linear Consolidation Problems by the Boundary Element Method (경계요소법에 의한 선형 압밀문제의 해석)

  • 서일교
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.129-136
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    • 1995
  • This paper presents a boundary element method for obtaining approximate solutions of 2-dimensional consolidation problems based on the Biot's linear theory. Laplace transform is applied to differential equation system in order to eliminate the time dependency. The boundary integral equations in transformed space are formulated and the fundamental solutions are shown in a closed form. In order to convert the transformed solutions to the ones in real space, the Hosono's numerical Laplace transform inversion method is applied. As a numerical example, a half-space consolidation problem subjected to a strip local load is selected and the applicability of the method is demonstrated through the comparison with the exact solutions.

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Effect of the Non-linear Permeability of Clays on the Behavior of Soils in Embankment Construction (제방 성토시 지반거동에 대한 점토의 비선형 투수성의 영향)

  • Kim, Tae-Hoon;Han, Tae-Gon;Yoo, Ki-Cheong;Lee, Song
    • Journal of the Korean Geotechnical Society
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    • v.20 no.6
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    • pp.61-73
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    • 2004
  • The coefficient of permeability of natural clay shows a nonlinear property which is related to various stress level of soils, and this nonlinear property has effect on the period of consolidation and the property of deformation in clay soils under loading. Thus, in this paper the numerical analysis was conducted by FEM-using coupled theory which incorporated Biot's consolidation theory into modified Cam-clay model- to consider the effects of nonlinear permeability on the behavior of clay soils under loading. The result of this paper showed that nonlinear permeability had different effects on the deformation and excess pore water pressure in clay soils according to the change of ratios of coefficients of permeability which was presented a degree of nonlinear property, and average coefficients of permeability of soils. Therefore, it was concluded that nonlinear permeability should be considered according to both the change of ratios of coefficients of permeability and average coefficients of permeability to conduct more simultaneous analyses to field conditions.

A study on the absorption coefficient of an artificial perforated material (인위적 다공물질의 흡음특성 연구)

  • Pyo, Sun-Chan;Yun, Seok-Wang
    • The Journal of the Acoustical Society of Korea
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    • v.6 no.2
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    • pp.19-29
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    • 1987
  • The absorption coefficients of various length bundles of straws simulating perforated material were studied both theoretically and experimentally. For the theoretical predictions Zwikker and Kosten's theory was modified by adapting Biot's theory based on Poiseuille flow. The experimental data were collected using an impedance tube where the attenuation along the length of the tube was considered. The theoretically predicted values agreed very well with the experimentally measured ones for frequencies lower than 700Hz with bundles shorter than 120mm in length placed against the rigid end of the impedance tube. Configurations with an air gap between the end of a bundle and the rigid end were also investigated. Absorption coefficients were higher for 150mm bundles than for those of combined/air gap configurations with a total length of 150mm. Also for the fixed bundle lengths, absorption was found to increase with increasing air gap.

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A two-phase interface element for simulation of lining systems

  • Liu, X.;Scarpas, A.;Blaauwendraad, J.
    • Structural Engineering and Mechanics
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    • v.11 no.5
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    • pp.547-564
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    • 2001
  • The numerical formulation of a two-phase interface element appropriate for porous lining system is presented. The formulation is isoparametric and can be applied both for 2-D and 3-D analysis. Biot's theory is utilized as the basis for the development of the element constitutive theory. In order to be capable of simulating the reinforcing characteristics of some geotextiles utilized as lining system, a reinforcement component has also been implemented into the formulation. By employing this specially developed interface finite element, the influence of soil consolidation on the stress distribution along the lining system of a reservoir and a landfill has been investigated.

Failure mechanisms in coupled poro-plastic medium

  • Hadzalic, Emina;Ibrahimbegovic, Adnan;Nikolic, Mijo
    • Coupled systems mechanics
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    • v.7 no.1
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    • pp.43-59
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    • 2018
  • The presence of the pore fluid strongly influences the reponse of the soil subjected to external loading and in many cases increases the risk of final failure. In this paper, we propose the use of a discrete beam lattice model with the aim to investigate the coupling effects of the solid and fluid phase on the response and failure mechanisms in the saturated soil. The discrete cohesive link lattice model used in this paper, is based on inelastic Timoshenko beam finite elements with enhanced kinematics in axial and transverse direction. The coupling equations for the soil-pore fluid interaction are derived from Terzaghi's principle of effective stresses, Biot's porous media theory and Darcy's law for fluid flow through porous media. The application of the model in soil mechanics is illustrated through several numerical simulations.

Disturbed State Modeling for Dynamic Analysis of Soil-Structure Interface (흙-구조물 경계면의 동역학적해석을 위한 교란상태 모델링)

  • Park, Inn-Joon;Yoo, Ji-Hyeung;Kim, Soo-Il
    • Journal of the Korean Geotechnical Society
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    • v.16 no.3
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    • pp.5-13
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    • 2000
  • In this study, the Disturbed State Concept (DSC) constitutive model is calibrated and modified for steel-sand interface by using the HiS S model for relative intact (Rl) state and the critical state model for the fuBy adjusted (FA) part in the material. The general formulation for implementation is developed. Then, the DSC model with modification for interface is implemented in finite element program based on the generalized Biot's theory. The interface test under one-way monotonic and two-way cyclic loading were numerically simulated using the finite element program modified in this study. The DSC predictions show improved agreement with the observed results from laboratory test. Overall, the computer procedure with the DSC allows relatively improved simulation ofthe soil-structure interaction problems.oblems.

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A Study on the Acoustic Properties of Porous Material by Using Acoustic Transfer Matrix (전달행렬법에 의한 다공질 흡음재의 음향특성 연구)

  • 박철희;주재만;염창훈
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.635-644
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    • 1996
  • In this paper, Allard's modelling method which employs the method of acoustic transfer matrix(ATM) is applied to yield more precise results in the analysis of porous sound absorbing material. The method of ATM, based on Biot's theory, is known to play an important role in the estimation of the sound absorption when a sound projects onto the material. In the case of a single layered porous sound absorbing material, the surface impedance and the absorption coefficient by using the method of ATM are estimated. With the variation of the material properties, sound absorption characteristics and analyzed. Transmission Loss in a combination of the porous sound absorbing material with a thin plate is predicted.

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Numerical Analysis on Deformation of Soft Clays Reinforced with Rigid Materials (말합연약식반의 변형위석에 관한 수치해석)

  • Gang, Byeong-Seon;Park, Byeong-Gi;Jeong, Jin-Seop
    • Geotechnical Engineering
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    • v.1 no.2
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    • pp.27-40
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    • 1985
  • This study aims at the development of computer Program for the deformation analysis of soft clay layers, and using this computer program, study the constraint effect of deformation- heaving, lateral displacement-of the soft clay layers reinforced with sheet pile at the tip of banking or improvement of soft clay layer up to hard strata, under intact state (natural) and the state of vertical drain respectively. For this study, Biot's consolidation theories and modified Cam-clay theory for constitutive equation for FEMI were selected and coupled governing equation, and christian-Boehmer's technique was applied to solve the coupled relationship. The following results are obtained. 1. Sheet pile or improvement of soft clay layer to the hard strata work well against the settlement of neighboring ground. B. In view of restriction of heaving or lateral displacement, sheet pile is not supposed to be of use. 3. Sheet pile is of effect only when vertical drain is constructed for acceleration of consolidation and load increases gradually. B. The larger the rigidity of improvement of layer to hard strata is, the less settlement occurs.

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Wave-Induced Response of Unsaturated and Multi-layered Seabed; A Semi-analytical Method (파랑으로 인한 불포화된 다층 해저지반의 거동;준해석적 방법)

  • ;Rahman, M. S.
    • Journal of the Korean Geotechnical Society
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    • v.15 no.6
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    • pp.45-55
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    • 1999
  • Wave-induced response, liquefaction and stability of unsaturated seabed are studied. The unsaturated seabed is modeled as a fluid-filled polo-elastic medium. The coupled process of fluid flow and the deformation of soil skeleton is formulated in the framework of Biot's theory. The resulting governing equations are solved using a semi-analytical method to evaluate the stresses and pore water pressure of unsaturated and multi-layered seabed. The semi-analytical method can be applied to calculate a pore pressure and the stresses of in anisotropic inhomogeneous seabed. The results indicate that the degree of saturation influences mostly on the magnitudes of a pore pressure and the stresses of unsaturated and multi-layed seabed. Based on the pore pressure and stresses in seabed, the analysis on the possibilities of liquefaction and shear failure was performed. The results show that the maximum depth of shear failure occurrence is deeper than the maximum liquefaction depth.

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