• Title/Summary/Keyword: Hyperbolic Model

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Relationship Between Stiffness And Shear Strength of Normally Consolidated Clays (정규압밀점토의 강성도와 전단강도의 상관관계)

  • Park, Chi-Won;Park, Dong-Sun;Mok, Young-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.402-413
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    • 2006
  • Strength evaluation of soft soils is a formidable task because of difficulties in sampling, specimen preparation and setting in triaxial cells. In undrained triaxial testing, sampling disturbance, verticality of specimen and bedding effect give a great influence on shear strength measurements. In the other hand, shear wave measurements of specimens are less influenced by these factors. In this research, the bender elements were attached top cap and base pedestal of triaxial cell and shear wave velocities were measured. To initiate a methodology to evaluate shear strength indirectly by measuring shear wave velocity, a relationship between shear strength and shear wave velocity was developed with kaolinite specimens consolidated in the laboratory. Undrained shear strength turns out to increase linearly with shear wave velocity. Stress-strain curves can also be predicted with a hyperbolic model and shear wave measurements.

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Analysis of CFRD(Concrete Faced Rockfill Dam) Constructed by Stages (단계축조에 의해 시공된 CFRD의 거동해석)

  • Cho, Sung-Eun;Shin, Dong-Hoon;Jeon, Je-Sung;Kim, Ki-Young
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.583-588
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    • 2005
  • In this study, a concrete faced rockfill dam constructed by stages was numerically analyzed, and the numerical results were compared with in situ measurements. The simple incremental elastic and isotropic hyperbolic model was employed to characterize the nonlinear deformation behavior of rockfill material and computational procedure followed construction sequence. A series of large triaxial tests for rockfill material were carried out to obtain mechanical input parameters. According to the analysis results, relative great additional deformation was introduced at the surface of stage-I dam body due to the loading by stage-II construction. The results reveal that numerical analysis can effectively simulate the construction processes, and some meaningful insights about the behavior of CFRD during construction were gained.

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Strength Characteristics of CSG material (CSG 재료의 강도특성에 관한 연구)

  • Park, Han-Gyu;Kim, Ki-Young;Cho, Sung-Eun;Jeon, Je-Sung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.619-626
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    • 2005
  • This work aims at studing the stress-strain-strength behavior of an CSG(cemented sand and gravel) materials. An analysis of the mechanical behavior of the CSG is performed from the interpretation of results by unconfined compression test, large triaxial compression test in which the influence of both the degree of cementation and age. For CSG, It was concluded that the characterristics of compression are direct measurment of the degree of cementation and age. In addition, hyperbolic model is adopted to express the relation between elastic moduli and cementation, age, confined stress in small strain. The results of the test show that clear correlation with each other

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Advanced Semi-Implicit Method (ASIM) for Hyperbolic Two-Fluid Model (2-유체 모델을 위한 '개선된 Semi-Implicit 기법')

  • Lee, Sung-Jae;Chung, Moon-Sun
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.2005-2011
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    • 2003
  • Introducing the interfacial pressure jump terms based on the surface tension into the momentum equations of two-phase two-fluid model, the system of governing equations is turned mathematically into the hyperbolic system. The eigenvalues of the equation system become always real representing the void wave and the pressure wave propagation speeds as shown in the previous manuscript. To solve the interfacial pressure jump terms with void fraction gradients implicitly, the conventional semi-implicit method should be modified as an intermediate iteration method for void fraction at fractional time step. This advanced semi-implicit method (ASIM) then becomes stable without conventional additive terms. As a consequence, including the interfacial pressure jump terms with the advanced semi-implicit method, the numerical solutions of typical two-phase problems can be more stable and sound than those calculated exclusively by using any other terms like virtual mass, or artificial viscosity.

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Numerical Analysis of Soil Nail System (소일네일링 구조물의 수치해석)

  • Yu, Nam-Jae;Kim, Young-Gil;Park, Byung-Soo;Lee, Jong-Ho
    • Journal of Industrial Technology
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    • v.19
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    • pp.115-125
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    • 1999
  • Current design and analyzing methods about soil nailing structures, developed on the basis of results obtained from experiments in laboratory or in field and numerical analyses, have applied different interaction mechanisms between the reinforced nails and the surrounding ground, and this different safety factors against failure have been obtained. They might be proper approached if the assumptions about rigidity of nails and ground conditions are met with actual conditions occurred in field. Otherwise, they would result in designing on analyzing in inappropriate ways so that it is needed to evaluate the validity of them. Therefore, overall behavior and failure mechanism about soil nailing system were investigated by performing numerical method. Using a finite element analysis, parametric studies were made to examine the importance of the various parameters and their effects on the soil nailing system. The numerical technique of FEM, implemented with Hyperbolic constitutive model, was also used to analyze the test results.

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Settlement Behavior Of High Rock Embankment With Construction Path (시공이력을 반영한 고성토 암버력 지반의 침하거동 분석)

  • Bae, Kyung-Tae;Kim, Tae-Hoon;Kang, In-Kyu;Lee, Won-Je;Yu, Nam-Jae;Lee, Kang-Il
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.956-962
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    • 2009
  • A high embankment is generally constructed by dividing into several sub-embankments. Unlike any soil embankment, a rock embankment is constructed by means of dynamic compaction. Such a sub-embankment and dynamic compaction may induce an increase of pressure at the lower part of embankment and cause a different behavior of ground from initial status. In this study, settlement of a high rock embankment is estimated using a hyperbolic model taking into construction history. The results from prediction are compared with those obtained from field measurements and large plate loading tests.

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Mechanical behaviour of FGM sandwich plates using a quasi-3D higher order shear and normal deformation theory

  • Daouadj, Tahar Hassaine;Adim, Belkacem
    • Structural Engineering and Mechanics
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    • v.61 no.1
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    • pp.49-63
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    • 2017
  • This paper presents an original hyperbolic (first present model) and parabolic (second present model) shear and normal deformation theory for the bending analysis to account for the effect of thickness stretching in functionally graded sandwich plates. Indeed, the number of unknown functions involved in these presents theories is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of ail displacements across the thickness and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. It is evident from the present analyses; the thickness stretching effect is more pronounced for thick plates and it needs to be taken into consideration in more physically realistic simulations. The numerical results are compared with 3D exact solution, quasi-3-dimensional solutions and with other higher-order shear deformation theories, and the superiority of the present theory can be noticed.

Analysis on Mathematically Gifted Middle School Students' Characteristic of Mathematical Thinking and Verbal Expression in the Study of Parallel Lines in Non-Euclidean Disc Model using Dynamic Geometry Software (GSP를 사용한 비유클리드 원판모델 학습에서 나타난 중학교 수학 영재들의 평행선에 관한 인식 및 언어 표현 방식 분석)

  • Hong, Seong Kowan
    • Journal of Educational Research in Mathematics
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    • v.23 no.1
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    • pp.53-74
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    • 2013
  • The purpose of this paper is to analyze how mathematically gifted middle school students find out the necessary and sufficient condition for a certain hyperbolic line to be parallel to a given hyperbolic line in Non-Euclidean disc model (Poincar$\acute{e}$ disc model) using the Geometer's Sketchpad. We also investigated their characteristic of mathematical thinking and analyze how they express what they had observed while they did mental experiments in the Poincar$\acute{e}$ disc using computer-aided construction tools, measurement tools and inductive reasoning.

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Reliability analysis of piles based on proof vertical static load test

  • Dong, Xiaole;Tan, Xiaohui;Lin, Xin;Zhang, Xuejuan;Hou, Xiaoliang;Wu, Daoxiang
    • Geomechanics and Engineering
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    • v.29 no.5
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    • pp.487-496
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    • 2022
  • Most of the pile's vertical static load tests in construction sites are the proof load tests, which is difficult to accurately estimate the ultimate bearing capacity and analyze the reliability of piles. Therefore, a reliability analysis method based on the proof load-settlement (Q-s) data is proposed in this study. In this proposed method, a simple ultimate limit state function based on the hyperbolic model is established, where the random variables of reliability analysis include the model factor of the ultimate bearing capacity and the fitting parameters of the hyperbolic model. The model factor M = RuR / RuP is calculated based on the available destructive Q-s data, where the real value of the ultimate bearing capacity (RuR) is obtained by the complete destructive Q-s data; the predicted value of the ultimate bearing capacity (RuP) is obtained by the proof Q-s data, a part of the available destructive Q-s data, that before the predetermined load determined by the pile test report. The results demonstrate that the proposed method can easy and effectively perform the reliability analysis based on the proof Q-s data.

An Evaluation of Stress-Strain Behaviour of Earth-Rockfill Dam and Causes of Crack due to Water Table Fluctuation (수위변동에 따른 Earth-Rockfill 댐의 거동 및 균열원인에 대한 평가)

  • 김상규;한성길;이민형;안상로
    • Journal of the Korean Geotechnical Society
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    • v.17 no.6
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    • pp.149-162
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    • 2001
  • Longitudinal cracks have occurred on the crest of dams soon after their construction of two earth-rocfill dams located in Samlangjin. They are a pair of pumped storage dams constructed for generation of electrical power. The upper dam and lower dam are subjected to the variation of water level more than 10m once in a day alteratively. This paper deals with the finding of possible causes for longitudinal cracks about upper dam. The dominant cause was considered to be due to fluctuation of water load, for which numerical analysis was carried out using the hyperbolic model. In order to obtain parameters necessary to the analysis, a series of triaxial tests was performed for both core and rock material. Also dynamic triaxial test was performed to obtain dynamic properties of soils, which could be used as input data to simulate frequent variation of stress change due to the water fluctuation. It was known from the numerical analysis that the confining pressure of upper 4m from the top of the crest become negative after repeating of water load, meaning that tension cracks occurred in the top portion of the crest. The depth of longitudinal cracks has been investigated by digging test pit on the crest. This results agree with the field observation.

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