• Title/Summary/Keyword: Nonlinear finite strain consolidation theory

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Development of a Program for Consolidation Analysis Using Nonlinear Finite Strain Consolidation Theory (비선형 유한변형률 압밀이론을 이용한 압밀 해석 프로그램 개발)

  • Lee, Song;Lee, Kyu-Hwan;Jeon, Je-Sung
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.02a
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    • pp.36-47
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    • 1999
  • Terzaghi's theory of one-dimensional consolidation is restricted in its applicability to relatively thin layers and small incremental loading. Because it is assumed to infinitesimal strain and linear material function. For this reason, Gibson et al established a rigorous formulation for the one-dimensional nonlinear finite strain consolidation theory. There are some difficulties in the application of finite strain consolidation theory. The developed program consisted of several forms and modules. These forms and modules with graphic-user-interfaced format are used in analysis of consolidation practices. For the purpose of verification of developed program. the results of case study and prediction of developed program are compared. The results of comparison is fairly well with prediction and measured data. And with varying finite strain consolidation parameter, g(e) or λ(e), the sensitivity of predicted values were examined.

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Design charts for consolidation settlement of marine clays using finite strain consolidation theory

  • Jun, Sang-Hyun;Lee, Jong-Ho;Park, Byung-Soo;Kwon, Hyuk-Jae
    • Geomechanics and Engineering
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    • v.24 no.3
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    • pp.295-305
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    • 2021
  • In this study, design charts for estimating consolidation settlement are proposed according to finite strain consolidation theory using a nonlinear constitutive relationship equation. Results of parametric sensitivity analysis shows that the final settlement, initial height, and initial void ratio exerted the greatest effect, and the coefficients of the void ratio-effective-stress. Proposed design charts were analyzed for three regions using a representative constitutive relationship equation that enables major dredged-reclaimed construction sites in Korea. The regional design charts can be calculated accurately for the final settlement because it is applied directly to the numerical analysis results, except for reading errors. A general design chart applicable to all marine clays is proposed through correlation analysis of the main parameters. A final self-weight consolidation settlement with various initial void ratios and initial height conditions should be estimated easily using the general design chart and constitutive relationship. The estimated final settlement using the general design chart is similar to the results of numerical analysis obtained using finite strain consolidation theory. Under an overburden pressure condition, design charts for estimating consolidation settlement are proposed for three regions in Korea.

A Program Development for Prediction of Negative Skin Friction on Piles by Consolidation Settlement (압밀침하를 고려한 말뚝의 부마찰력 예측 프로그램 개발)

  • Kim, Hyeong-Joo;Mission, Jose Leo C.
    • Journal of the Korean Geotechnical Society
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    • v.25 no.9
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    • pp.5-17
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    • 2009
  • The microcomputer program PileNSF (Pile Negative Skin Friction) is developed by the authors in a graphical user interface (GUI) environment using $MATLAB^{(R)}$ for predicting the bearing capacity of a pile embedded in a consolidating ground by surcharge loading. The proposed method extends the one-dimensional soil-pile model based on the nonlinear load transfer method in OpenSees to perform an advanced one-dimensional consolidation settlement analysis based on finite strain. The developed program has significant features of incorporating Mikasa's finite strain consolidation theory that accounts for reduction in the thickness of the clay layer as well as the change of the soil-pile interface length during the progress of consolidation. In addition, the consolidating situation of the ground by surcharge filling after the time of pile installation can also be considered in the analysis. The program analysis by the presented method has been verified and validated with several case studies of long-term test on single piles subjected to negative skin friction. Predicted results of negative skin friction (downdrag and dragload) as a result of long from consolidation settlement are shown to be in good agreement with measured and observed case data.

Consolidation Model and Numerical Analysis for Soft Clay Ground Considering Characteristics of Material Function (물질함수특성을 고려한 연약 점토지반의 압밀모델 및 수치해석)

  • Jeon, Je-Sung;Yi, Chang-Tok;Lee, Song
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.2
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    • pp.123-136
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    • 2004
  • Terzaghi's one-dimensional consolidation theory has some important assumption, which can't be applicable to predict the behavior of soft clay ground. Especially, predictions using infinitesimal strain and linear material function related with permeability can give rise to mistake in comparison with the result of real behavior in site. For this reason, Gibson et al. established a rigorous formulation for the one-dimensional nonlinear finite strain consolidation theory, which can consider non-linearity of material function. But it is difficult to apply this theory to predict the behavior of common soft clay ground with vertical drain. In this study, consolidation model which can consider the vertical and horizontal flow of a fully saturated clay layer, self-weight of soil and nonlinear characteristics of compressibility and permeability are derived. Numerical analysis scheme, which can be applied to consolidation analysis by derived consolidation model in this study was developed. The characteristics of material function were examined using laboratory testing such as standard consolidation test, Rowe-cell test and modified consolidation test.

The Study on the Consolidation Characteristics of South Coast Spoil Reclaimed Ground by Finite Strain Consolidation Theory (유한변형률 압밀이론에 의한 남해안준설토의 압밀특성에 관한 연구)

  • Songi, Myung-Gyu;Im, Jong-Chul;Kwon, Jeong-Geun;Ju, In-Gon
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.1170-1180
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    • 2009
  • Recently this country has carried out the coast reclamation centering on the west and south coast for effective practical use of a country, considering purchase of materials and environmental problem, most reclaiming work is processing to spoil reclamation which is easy to secure the amount of materials. In case of weak ground that is formed by spoil reclamation like this, initial moisture content is high, as slurry state that is rarely revealed ground strength, compressibility and water permeability have been shown nonlinear change by compaction progress. Analysis of weak ground is unreasonable because the existing Terzaghi compaction theory analyzes compaction fixed number to regular invariable number for prediction of compaction state. This study computes the relation with void ratio-effective pressure and void ratio-finite transformation which is the most basic matter to predict finite strain compaction state of the south coast spoil, and analyze the basic feature to predict compaction feature of the south coast spoil reclaimed ground.

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Non-linear Finite Strain Consolidation of Ultra-soft Soil Formation Considering Radial Drainage (방사방향 배수를 고려한 초연약 지반의 비선형 유한변형 자중압밀 거동 분석)

  • An, Yong-Hoon;Kwak, Tae-Hoon;Lee, Chul-Ho;Choi, Hang-Seok;Choi, Eun-Seok
    • Journal of the Korean Geotechnical Society
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    • v.26 no.11
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    • pp.17-28
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    • 2010
  • Vertical drains are commonly used to accelerate the consolidation process of soft soils, such as dredged materials, because they additionally provide a radial drainage path in a deep soil deposit. In practice, vertical drains are commonly installed in the process of self-weight consolidation of a dredged soil deposit. The absence of an appropriate analysis tool for this situation makes it substantially difficult to estimate self-weight consolidation behavior considering both vertical and radial drainage. In this paper, a new method has been proposed to take into account both vertical and radial drainage conditions during nonlinear finite strain self-weight consolidation of dredged soil deposits. For 1-D nonlinear finite strain consolidation in the vertical direction, the Morris (2002) theory and the PSDDF analysis are adopted, respectively. On the other hand, to consider the radial drainage, Barron's vertical drain theory (1948) is used. The overall average degree of self-weight consolidation of the dredged soil is estimated using the Carillo formula (1942), in which both vertical and radial drainage are assembled together. A series of large-scale self-weight consolidation experiments being equipped with a vertical drain have been carried out to verify the analysis method proposed in this paper. The results of the new analysis method were generally in agreement with those of the experiments.

One-dimensional Consolidation Analysis by Estimation of Nonlinear Consolidation Coefficient (비선형 압밀계수 산정에 의한 일차원 압밀해석)

  • Lee, Song;Jeon, Je-Sung
    • Journal of the Korean Geotechnical Society
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    • v.16 no.2
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    • pp.103-113
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    • 2000
  • 기존의 Terzaghi 압밀이론은 상대적으로 연약토층이 두껍지 않고, 초기함수비가 낮으며 적은 유효응력의 증가가 예상되는 곳에 그 적용이 제한되어 있었다. 그 이유는 Therzaghi 압미이론 자체가 미소변형률과 선형적인 압축성 및 투수성등을 기본적인 가정사항으로 내포하고 있기 때문이다. 이러한 가정사항을 극복하고자 Gibson et al. 은 일차원 비선형 유한 변형률 압밀이론에 관한 엄밀해를 제시하였다. 이 이론은 기존의 많은 가정사항들을 극복하여 실제 현상에 더욱 부합하는 예측을 할 수 있는 장점이 있는 반면, 비선형적인 응력-변형 관계, 변형-투수계수 관계의 도입과 좌표변환 및 현장의 시고이력을 그대로 적용하는데 많은 어려움이 있는 것이 사실이다. 본 연구에서는 이러한 비선형 유한형태를 압밀이론을 이용한 압밀현상 예측을 위하여, 비선형적인 응력-변형 관계, 변형-투수계수 관계에 관한 함수식을 구성하고 이를 포함하는 컴퓨터 프로그램을 개발하였다. 개발 프로그램은 많은 폼과 모듈로 구성되어 있는데, 이러한 각각의 폼과 모듈은 GUI 기능의 극대화를 통해 복잡한 이론에 익숙하지 않은 실무자들이 쉽게 본 이론을 이용할 수 있도록 설계 되었다. 또한 개발프로그램은 다양한 하중단계 및 비선형적인 응력-변형 관계, 변형-투수계수 관계에 관한 회귀분석, 각 유효응력 단계별 상이한 비선형 계수 g와 λ를 적용할 수 있으며, 계산을 위한 전처리과정은 물론 계산된 결과를 위한 다양한 후처리과정이 모두 사용자 위주의 GUI 기능을 충분히 갖도록 설계되었다. 개발 프로그램의 검증을 위하여 실제 현장의 계측자료 및 기존 연구문헌상의 결과와 본 개발 프로그램의 예측결과를 비교.분석하였으며, 다양한 간극비 상태의 비선형 계수가 해석결과에 미치는 영향을 알아보았다.

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Numerical Analysis for Consolidation of Compressible Soils (압축성 모의 압밀에 대한 수치해석 -다층토를 중심으로-)

  • Kim, Pal-Gyu;Song, Yong-Hui;Lee, Hwan-Gi
    • Geotechnical Engineering
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    • v.1 no.1
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    • pp.5-12
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    • 1985
  • Ocassionally it is used for simple extensions of Terzahgi's theory to account for time-depend- tint loading but there is little evidence of application in more complicated consolidation theories that take into account such effects as nonlinear stress.strain, layered systems or large strains. The purpose of this paper provides an efficient computer algorthm based on numerical analysis using finite difference method which account for multi-layered soils to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically. The explicitly scheme of solving the consolidation equations has been investigated from the point of view of the stability conditions and the convergence with variance of the operator as well as to obtain an optimal divided depth ratios of total depth. A comparison of the settlement predictions with both the classical analysis and the algorithm based on numerical analysis indicates that the new algorithm scheme is found to be superior to the classical theory in the layered soils.

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