• Title/Summary/Keyword: 수치안정성 해석

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The Mixed Finite Element Analysis for Porous Media using Domain Decomposition Method (영역 분할기법을 이용한 포화 다공질매체의 혼합유한요소해석)

  • Lee, Kyung-Jae;Tak, Moon-Ho;Kang, Yoon-Sik;Park, Tae-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.4
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    • pp.369-378
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    • 2010
  • The mixed finite element analysis is the most widely used method for saturated porous media. Generally, in this method, direct method and iterative method are proposed to obtain unknown variable, however, the iterative method is recommended because the method provide numerical stability and accuracy under the material properties for solid and fluid are different. In this paper, we introduce staggered method which has strong numerical stability, and FETI(Finite Element Tearing and Interconnecting) which is one of decomposition methods are applied into the method in order to obtain numerical efficiency. In which, Lagrange Multipliers and conjugated gradient method to solve decomposed domain are proposed, and then, the proposed method is verified numerical efficiency by point to point MPI(Message Passing Interface) library.

Numerical Analysis of the Stability of a High-Strength Joint Buried Pile Retaining Wall Method (수치해석을 이용한 고강도 결합 매입말뚝 흙막이 공법의 안정성 검토에 관한 연구)

  • Hyeok Seo;Yeongpan Ha;Junyoung Choi;Kyungho Park;Daehyeon Kim
    • The Journal of Engineering Geology
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    • v.34 no.2
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    • pp.249-262
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    • 2024
  • Retaining walls are widely used in the construction of underground structures. This study reviews the stability of the high-strength joint buried pile method at a site in Korea. [Consider giving details of the location.] The method is assessed by considering the amount of ground settlement, as calculated by finite element analysis and measured at the site. Comparison of the measured and numerical results confirmed the method's stability and field applicability. Settlement of 13.42~13.65 mm was calculated for seven cross-sections [The Abstract should be comprehensible without reference to the main text. The labels A-A' to G-G' should not be introduced here without explanation.] using numerical analysis, and the measured settlement reached a maximum of 2.00 mm. The observed differences and variations [Please state what differed/varied.] did not exceed the design expectations in any section. Instruments installed at the back of the excavation area were used to assess the conditions. An underground gradient meter recorded a cumulative horizontal displacement of between -0.40 and 0.60 mm, and an underground water meter recorded slight displacements of between -0.21 and 0.28 m compared with the initial measurements. A surface settlement meter observed very little movement, with a maximum of -2.00 mm compared with the initial measurement, thereby confirming the establishment of a stable state within the management criteria.

Study on Characteristics of Numerical Analysis Method for Stability Analysis of Reinforced Slope (보강사면의 안정해석을 위한 수치해석방법의 특성에 관한 연구)

  • Kim, Joon-Seok;Kim, Ju-Yong
    • Journal of the Korean Geosynthetics Society
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    • v.8 no.3
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    • pp.17-23
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    • 2009
  • Conventional methods of reinforced slope analysis based on the concept of limit equilibrium have been widely adopted mainly due to their simplicity and short computation time. But depending upon the assumptions on the inter-slice forces, the factor of safety resulting from the limit equilibrium method is not uniquely determined. This paper describes a method to calculate the factor of safely of a slope using a numerical analysis. Recently some useful analysis techniques (Strength reduction method and the stability method using stress fields) by numerical analysis are proposed and their theory and characteristics applications are studied and investigated with simple examples in this paper.

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A Study on the Shape and Size Effects on the Stability of Underground Openings (지하공동의 형상과 규모가 공동의 안정성에 미치는 영향 연구)

  • 박상찬;문현구
    • Geotechnical Engineering
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    • v.14 no.1
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    • pp.93-108
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    • 1998
  • In this study, the analytic solutions and numerical methods were used to estimate the shape and size effects on the stability of underground openings. The stability of underground openings was evaluated by scrutinizing the effects of the rock mass quality, the state of in-situ stresses and the lateral earth pressure coefficient on the displacement, the stress concentration and the plastic region developed in the vicinity of the openings. The analytic solutions have shown that the stress concentration factor is inversely proportional to the radius of curvature of openings. Through parametric study on the various shapes and sizes of underground openings the characteristics of the controlling factors concerned with the stability were analyzed. Then, the study was extended to the horseshoe-shaped openings commonly used for under ground storage. Through the extended study the effects of the stress ratio and the height-towidth ratio of openings on the maximum displacement and plastic region developed around the openings were estimated. The results have shorn that the height-to-width ratio of domestic storage caverns can be increased economically without stability problem, as far as the lateral earth pressure coefficient is appropriate.

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Numerical study on basal heave stability of a circular vertical shaft constructed in clay (연약 점성토 지반에 시공되는 원형 수직구의 히빙 안정성에 대한 수치해석적 연구)

  • Kang, Seok-Jun;Cho, Gye-Chun
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.24 no.3
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    • pp.231-245
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    • 2022
  • When vertical shafts are constructed in soft clay with low strength, there is a risk of basal heave, which causes the excavation surface to heave due to the low bearing capacity of the ground against the imbalance of earth pressure at the excavation surface. Methods of deriving a safety factor have been proposed to evaluate the stability against the basal heave. However, there are limitations in that it is difficult to accurately evaluate the heave stability because many assumptions are included in the theoretical derivation. In this study, assuming that a circular vertical shaft is constructed in soft clay, the existing safety factor equation proposed through a theoretical approach was supplemented. Bearing capacity according to the shaft geometry, inhomogeneity of the soil, and the effect of soil plug were considered theoretically and applied in a previous safety factor equation. A three-dimensional numerical analysis was conducted to simulate the occurrence of basal heave and review the supplemented equation through various case studies. Several series of case studies were conducted targeting various factors affecting heave stability. It was verified that the additionally considered characteristics were properly reflected in the supplemented equation. Furthermore, the effects of each factor constituting the safety factor equation were examined using the results of the numerical analysis performed by simulating various cases. It was confirmed that considering the undrained shear strength increment according to depth had the most significant effect on the calculation of the safety factor.

Appling Multi-dimensional Limiting Process (MLP) to shallow water flow simulation (MLP 기법을 이용한 천수흐름 수치모의)

  • An, Hyun-Uk;Yu, Soon-Young
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.537-537
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    • 2012
  • 천수방정식의 수치모형은 하천의 유량예측, 홍수범람해석, 해일 모의 등에 널리 사용되고 있고, 그 결과는 수자원 관리, 재난 대책 등 정책적인 의사결정에 있어 유용한 자료로 활용되고 있다. 이처럼 천수방정식의 수치모형은 연구목적뿐만 아니라 실생활에 있어서도 큰 영향을 미치고 있으며, 이에 보다 정확하고 효율적인 수치모형의 구축이 수리/수자원/방재분야에서 중요한 영역이 되고 있다. 본 연구는 정확하고 안정적인 수치모의를 위해 천수방정식의 수치모형에 MLP(Multi dimensional Limiting Process)기법을 적용한 후 다차원 모의 시 MLP의 수치 진동 제어 성능을 검증하고자 하였다. MLP기법은 다차원에서 수치진동을 억제할 수 있도록 개발된 기법으로, 기존 TVD 제어자(limiter)과 MLP의 차이점은 기존 제어자들이 흐름이 발생하는 셀 경계면에서 재구성된 값이 Maximum Principle을 만족시키도록 제어자를 유도하는데 반해, MLP는 셀 절점에서 Maximum Principle을 만족시키도록 제어자를 유도한다는데 있다. MLP기법은 압축성 유체를 표현하는 2, 3차원 오일러 방정식에 적용되어 기존의 제어자들에 비해 안정적이며 정확한 수치모의를 가능하게 하는 것이 검증되었다. 하지만 천수방정식에 적용된 예는 없으며, 이에 본 연구는 천수방정식에 MLP를 적용하고 천수방정식 수치모형 검증에 주로 사용되는 수치모의를 통해 MLP의 수치 진동 제어 성능을 검증하였다. 모의 결과, MLP는 2차원 천수방정식에 있어서도 기존의 제어자들과 비교하여 수치진동을 보다 잘 제어하는 것으로 판단된다. MLP의 사용으로 인해 불연속면 근처에서 정확도가 향상되었고 수치진동이 발생하지 않아 보다 안정적인 모의가 가능하였다.

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