• Title/Summary/Keyword: Finite strain

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Analysis Method for Non-Linear Finite Strain Consolidation for Soft Dredged Soil Deposit -Part I: Parameter Estimation for Analysis (초연약 준설 매립지반의 비선형 유한변형 압밀해석기법 -Part I: 해석 물성치 평가)

  • Kwak, Tae-Hoon;Lee, Chul-Ho;Lim, Jee-Hee;An, Yong-Hoon;Choi, Hang-Seok
    • Journal of the Korean Geotechnical Society
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    • v.27 no.9
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    • pp.13-24
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    • 2011
  • The renowned Terzaghi's one-dimensional consolidation theory is not applicable to quantification of time-rate settlement for highly deformable soft clays such as dredged soil deposits. To deal with this special condition, a non-linear finite strain consolidation theory should be adopted to predict the settlement of dredged soil deposits including self-weight and surcharge-induced consolidation. It is of importance to determine the zero effective stress void ratio ($e_{00}$), which is the void ratio at effective stress equal to zero, and the relationships of void ratio-effective stress and of void ratio-hydraulic conductivity for characterizing non-linear finite strain consolidation behavior for deformable dredged soil deposits. The zero effective stress void ratio means a transitional status from sedimentation to self-weight consolidation of dredged soils. In this paper, laboratory procedures and equipments are introduced to measure such key parameters in the non-linear finite strain consolidation analysis. In addition, the non-linear finite strain consolidation parameters of the Incheon clay and kaolinite are evaluated with the aid of the proposed methods in this paper, which will be used as input parameters for the non-linear finite strain consolidation analyses being performed in the companion paper.

Design and Strain Analysis of Precision 3-component Load Cell

  • Kim, Gab-Soon;Rhee, Se-Hun
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.1
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    • pp.22-32
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    • 2000
  • This paper describes the development of a precision 3-component load cell with plate beams which may be used for measuring forces Fx, Fy and moment Mz simultaneously in industry. The equations to predict the bending strains on the surface of the beams under forces or moment are derived, the attachment location of strain gages of each sensor is determined, and 3-component load cell is carried out. It reveals that the rated strain calculated from the derived equations are good agreement with the results from Finite Element Method analysis.

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Strain Analysis in GFRP Cross-Ply Laminates Using TR-EFPI Optical Fiber Sensor (광섬유 TR-EFPI 센서를 이용한 GFRP 직교 적층판의 변형률 해석)

  • 우성충;최낙삼;권일범
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2003.10a
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    • pp.150-153
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    • 2003
  • Longitudinal strains({$varepsilon}_x$) of the core and skin layers in glass fiber reinforced plastic(GFRP) cross-ply composite laminates have been studied using the embedded optical fiber sensor of totally-reflected extrinsic Fabry-Perot interferometer(TR-EFPI). Foil-type strain gauges bonded on both the upper and lower surfaces were used for the measurement of the surface strains. Both TR-EFPI sensor and strain gauge bonded on the specimen surface showed excellent agreement within -0.0086 ~ +0.0302% strain. It was shown that values of {$varepsilon}_x$ in the interior of the surface layer and the core layer measured by embedded TR-EFPI sensor was significantly higher than that of the specimen surface measured by strain gauges. The experimental results were ascertained with finite element analysis. Embedded TR-EFPI optical fiber sensor could measure accurately the internal strains which were different from the surface.

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Evolution of Strain States and Microstructures During Three-roll Screw Rolling of Copper Rods (Three-roll Screw Rolling 공정 시 동봉재의 변형상태와 미세조직의 발달)

  • Kim, S.H.;Park, E.S.;Kim, H.J.;Bae, J.C.;Huh, M.Y.
    • Transactions of Materials Processing
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    • v.17 no.1
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    • pp.68-72
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    • 2008
  • In order to investigate the evolution of strain states during screw rolling, the samples of copper rod were rolled in a three-roll screw rolling mill. Microstructure observations and hardness measurements were carried out for examining the deformation history during screw rolling. The finite element method(FEM) was employed to calculate the evolution of strain states during screw rolling. The strain state in the roll gap is quite inhomogeneous through the rod thickness layers. It turned out that shear strain gradients through the thickness layers are reduced by applying a higher reduction.

Effect of lubrication on the evolution of strain states in AA 5052 sheet during shape rolling (알루미늄 5052 합금 판재의 이형 압연 시 변형률 상태에 미치는 윤활의 영향)

  • Park, E.S.;Hwang, K.C.;Huh, M.Y.;Kim, H.J.;Bae, J.C.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.256-259
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    • 2009
  • In order to investigate the effect of strain states attributed to the lubrication during shape rolling, shape rolling for V-sectioned sheets was carried out with and without lubrication. The evolution of strain states during shape rolling was studied by three-dimensional finite element method (FEM). Shape rolling with and without lubrication produces shape-rolled samples in fairly similar outer shapes, since the distribution of normal strain components is nearly independent of the lubrication condition. In contrast, the distribution of shear strain components strongly depends on the lubrication condition.

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Computational modelling for description of rubber-like materials with permanent deformation under cyclic loading

  • Guo, Z.Q.;Sluys, L.J.
    • Interaction and multiscale mechanics
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    • v.1 no.3
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    • pp.317-328
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    • 2008
  • When carbon-filled rubber specimens are subjected to cyclic loading, they do not return to their initial state after loading and subsequent unloading, but exhibit a residual strain or permanent deformation. We propose a specific form of the pseudo-elastic energy function to represent cyclic loading for incompressible, isotropic materials with stress softening and residual strain. The essence of the pseudo-elasticity theory is that material behaviour in the primary loading path is described by a common elastic strain energy function, and in unloading, reloading or secondary unloading paths by a different strain energy function. The switch between strain energy functions is controlled by the incorporation of a damage variable into the strain energy function. An extra term is added to describe the permanent deformation. The finite element implementation of the proposed model is presented in this paper. All parameters in the proposed model and elastic law can be easily estimated based on experimental data. The numerical analyses show that the results are in good agreement with experimental data.

A Study of Three Dimensional Numerical Analysis on Vacuum Consolidation

  • Chung, Youn ln
    • Geotechnical Engineering
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    • v.13 no.3
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    • pp.5-20
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    • 1997
  • A governing equation of uncoupled three dimensional finite strain theory of consolidation is presented. This equation is suitable for relatively thick layers, possessing large strain, non-linear material property, and variable permeability. A special numerical solution procedure has to be adopted for the finite difference scheme because the solution is not stable in using Forward-Time Centered-Space (FTCS) method and the governing equation is highly non-linear. The solution is capable of predicting settlement with respect to time. The results predicted by the developed method of analysis have been compared with those of experimental tests on different types of highly compressible soils with vertical wick drain. The uncoupled three dimensional finite strain theory of consolidation appears to predict settlement behavior well. A detailed comparison shows good agreement in terms of total settlement, and reasonable agreement with respect to time.

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Kinematic Description of Damage-Elastoplastic Deformation (손상된 재료의 탄소성변형에 대한 운동학적 해석)

  • 박대효;박용걸
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.131-142
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    • 1997
  • In this paper the kinematics of damage for finite elastoplastic deformations is introduced using the fourth-order damage effect tensor through the concept of the effective stress within the framework of continuum damage mechanics. Unlike the approach of strain equivalence or energy equivalence, which is applicable only to small strains, the proposed kinematic description provides a relation between the effective strain and the damage elastoplastic strain in finite deformation. This is accomplished by directly considering the kinematics of the deformation field both real configuration. The proposed approach shows that it is equivalent to the hypothesis of energy equivalence at finite strains. The damage effect tensor in this work is explicitly characterized in terms of a kinematic measure of damage in the elastoplastic domain through a second-order damage tensor.

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An Evaluation of Orthotropic Steel Bridge Deck Pavement Behavior Using Wheel Load Testing and 3D Finite Element Analysis (윤하중 시험과 유한요소해석을 통한 강상판 교면포장의 거동분석 연구)

  • Kim, Tae Woo;Choi, Ji Young;Lee, Hyun Jong;Baek, Jongeun;Ohm, Byung Sik
    • International Journal of Highway Engineering
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    • v.15 no.1
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    • pp.103-110
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    • 2013
  • PURPOSES: The objective of this study is to analyze and evaluate the behavior of orthotropic steel bridge deck pavement using three-dimensional finite element analysis and full-scale wheel load testing. METHODS: Since the layer thickness and material properties used in the bridge deck pavement are different from its condition, it is very difficult to measure and access the behavior of bridge deck pavement in the field. To solve this problem, the full-scale wheel load testing was conducted on the PSMA/Mastic bridge deck pavement and the deflection of bridge deck and horizontal tensile strain on top of pavement were measured under the loading condition. Three-dimensional finite element analysis was conducted to predict the behavior of bridge deck pavement and the predicted deflection and tensile strain values are compared with measured values from the wheel loading testing. RESULTS: Test results showed that the predicted deflections are 10% lower than measured ones and the error between predicted and measured horizontal tensile strain values is less than 2% in the critical location. CONCLUSIONS: The fact indicates that the proposed the analysis is found to be accurate for estimating the behavior of bridge deck pavements.

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.