• Title/Summary/Keyword: Elasto-Plastic Finite Element Method

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The Study of Numerical Analysis on Failure Behavior of Reinforced Soil Wall (보강토 옹벽의 파괴거동에 대한 수치해석적 연구)

  • Kim, Young-Min
    • Journal of the Korean Geosynthetics Society
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    • v.7 no.3
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    • pp.9-16
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    • 2008
  • This paper is concerned with the numerical evaluation of the failure behavior of reinforced soil walls based on the elasto-plastic theory. At first, the basic analysis on the failure behavior of reinforced soil walls are discussed. Parametric study of the major factors influencing the failure behavior is conducted by FEM. The objectives are to identify and evaluate the major facts influencing the failure mode of reinforced soil walls. The results of the parametric study on the failure behavior due to soil friction angle, reinforcement type, and reinforecement length are analysed.

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Analysis of Elasto-Plastic Problems Using the Generalized Finite Element Method with Global-Local Enrichment Functions (전체-국부 확장함수를 지닌 일반유한요소법을 이용한 탄소성해석)

  • Han, So-Jeong;Kim, Hee-Cheul;Lee, Young-Hak;Kim, Dae-Jin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.773-777
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    • 2011
  • 본 논문에서는 국부적으로 비선형 거동을 보이는 고전적인 $J_2$ 소성흐름 이론에 근거한 탄소성 문제의 해를 효율적으로 구하기 위해 전체-국부 확장함수를 지닌 일반유한요소법을 제안한다. 제안된 기법은 비선형 거동을 보이는 영역을 포함하는 국부 문제의 비선형 해를 구하고 이를 일반유한요소법의 단위 오목 분할의 개념을 통해 전체 문제의 해 공간을 확장하는데 이용한다. 이는 적은 계산량으로 복잡한 탄소성문제의 정확한 해를 얻는 것을 가능하게 하며 기법의 강건성과 정확성을 입증하기 위한 수치해석 예제가 다루어진다.

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Hertzian 이동하중을 받는 피복된 재료의 탄소성 거동에 관한 유한요소해석

  • 김영종;조용주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04a
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    • pp.596-602
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    • 1995
  • In this paper, the rolling-sliding contact problem of a layered semi-infinite solid compressed by a rigid surface is solved by finite element method based on the elasto-plastic theory. The purpose of this paper is to present the standard that is needed the later design. For this analysis, the principal parameters are layer thickness. Young's modulus ratio of layer and substrate and friction coefficient. In particular, this paper is interested in effect that layer thickness have influence upon displacement and shear and tensile stress at interface. For the layered material, the layer and the substrate behave elastic and linear-strain hardening respectively. For law friction, a relatively thin layer reduce the undesired maximum tensial stress but, for high friction, act contrary to the case of low friction.

Comparative Study on the Stability Analysis Methods for Underground Pumped Powerhouse Caverns in Korea (국내 양수발전소 지하공동 안정성 해석방법의 비교)

  • 임한욱;김치환
    • Tunnel and Underground Space
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    • v.12 no.4
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    • pp.248-258
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    • 2002
  • The sixth underground pumped powerhouse cavern is now under construction in Korea. For the stability analysis for the caverns of the five underground powerhouses, finite element method was used. For the analysis, in-situ rock stress were measured by overcoring method. The stress measurement showed that initial horizontal to vertical stress ratio was 1.07-1.32 in low powerhouse sites. Rock mass strength and elasticity were assumed from rock core properties through engineering processes. So the ratio of input elasticity fur the analysis were about 0.16-0.55 to rock core elasticity. In most of the analysis, elasto-plastic condition with Mohr-Coulomb failure criteria were applied. But in one case, viscoelastic condition was applied, too. The input cohesion and internal friction angle were approximately 0.12-0.22, 0.6-0.87 to rock core strength parameters, respectively.

Modeling and Analysis of Size-Dependent Structural Problems by Using Low-Order Finite Elements with Strain Gradient Plasticity (변형률 구배 소성 저차 유한요소에 의한 크기 의존 구조 문제의 모델링 및 해석)

  • Park, Moon-Shik;Suh, Yeong-Sung;Song, Seung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1041-1050
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    • 2011
  • An elasto-plastic finite element method using the theory of strain gradient plasticity is proposed to evaluate the size dependency of structural plasticity that occurs when the configuration size decreases to micron scale. For this method, we suggest a low-order plane and three-dimensional displacement-based elements, eliminating the need for a high order, many degrees of freedom, a mixed element, or super elements, which have been considered necessary in previous researches. The proposed method can be performed in the framework of nonlinear incremental analysis in which plastic strains are calculated and averaged at nodes. These strains are then interpolated and differentiated for gradient calculation. We adopted a strain-gradient-hardening constitutive equation from the Taylor dislocation model, which requires the plastic strain gradient. The developed finite elements are tested numerically on the basis of typical size-effect problems such as micro-bending, micro-torsion, and micro-voids. With respect to the strain gradient plasticity, i.e., the size effects, the results obtained by using the proposed method, which are simple in their calculation, are in good agreement with the experimental results cited in previously published papers.

The Structural Characteristics of the Temporary Cofferdam in Accordance with the Shape and Size Obtained from Numerical Analysis (유한요소 해석을 통한 형상 및 크기에 따른 가물막이 특성 검토)

  • Kim, Hyun-Joo;Choi, Jin-O;Gwon, Yun-Ho
    • Journal of the Korean Geotechnical Society
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    • v.36 no.1
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    • pp.29-38
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    • 2020
  • These days the circular cross section cofferdam has been frequently used for the earth retaining structures or cut off wall such as ventilating opening, intake tower in cofferdam, shaft for emergency. By the arching effect, the circular cross section type cofferdam has more advantage than a polygon cofferdam in terms of the structural forces and moment. This paper shows the proper approach to analyze the circular cross section cofferdam using 2D Finite Element Method (FEM) for the circular stiffener (ring beam) evaluation. Besides, the various shapes of cofferdam indluding circular cross section have modeled the 3D Finite Element Mothod (FEM). The circular cross section cofferdam shows the minimum reaction force compared with the other shapes of cofferdam.

Tensile Behavior Analyses of Tubular Column to H-Beam Connections with T-Stiffeners (외부 T 스티프너를 이용한 각형강관기둥-H 형강보 접합부의 인장거동 해석)

  • Shin, Kyung Jae;Kwon, Young Ran
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.69-78
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    • 2002
  • This paper describes the analysis results for tensile behavior of tubular column to H-beam connection with T stiffeners. Using the elasto-plastic finite element method, analysis results are compare with experimental results. Parametric analyses with different size of T-stiffener have conducted to understand the stress distribution at the connections. Stress concentration in elastic region and PEEQ distribution in plastic region are plotted for different shape. The results of analysis were applied to design equations and were checked for the applicability of design equations.

One Dimensional Thermal Elasto-Plastic Analysis Using Layered Beam Theory (적층보 이론을 이용한 1차원 열탄소성 해석)

  • S.I.,Seo;C.D.,Jang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.4
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    • pp.51-57
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    • 1990
  • There exist residual stresses and deformations in welded structures because of nonuniform temperature distribution. The thermal elasto-plastic analysis is necessary to describe the behavor of the structure during welding. In this paper, we calculated the residual stresses and deformations of the welded beam using the I-dimensional layered beam theory. In the previous 1-dimensional analyses, there were restrictions that the equilibrium conditions which were effective only on beams with infinite length were used, and the boundary conditions could not be considered adequately. But, the layered beam theory based on the incremental finite element method, can overcome these restrictions. On the other hand, in the 2-dimensional analysis, the computing time is large because of many degrees of freedom, and there was inaccuracy in the calculation of welding deformations. However, the layered beam theory can take into account the variation of properties along the depth, and can reduce the degrees of freedom considerably in comparision with the 2-dimensional analysis, and shows good agreement with the experiments.

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A new steel panel zone model including axial force for thin to thick column flanges

  • Mansouri, Iman;Saffari, Hamed
    • Steel and Composite Structures
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    • v.16 no.4
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    • pp.417-436
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    • 2014
  • During an earthquake, steel frame columns can be subjected to high axial forces combined with inelastic rotation demand resulting from story drift. Generally, the whole beam or component can be represented with one element. In elasto-plastic analysis, subdivision is necessary if the plastic deformation occurs within two ends of beams. If effects of the joint panel are necessarily considered in the analysis, the joint panel should be represented with an independent element. It is a special element to represent the shear deformation of the joint panel in the beam-column connection zone. Several analytical models for panel zone (PZ) behavior exist, in terms of shear force-shear distortion relationships. Among these models, the Krawinkler PZ model is the most popular one which is used in the AISC code. Some studies have pointed out that Krawinkler's model gives good results for the range of thin to medium column flanges thickness. This paper, introduces a new model to estimate the response of shear force-shear distortion for the PZ including column axial force. The model is applicable to both thin and thick column flange. To achieve an appropriate PZ mathematical model first, the effects of PZ strength and stiffness on connection response are parametrically studied using finite element models. More than one thousand and four-hundred beam-column connections are included in the parametric study, with varied parameters; then based on analytical results a simple mathematical model is presented. A comparison between the results of proposed method herein with FE analyses shows the average error especially in thick column flange is significantly reduced which demonstrates the accuracy, efficiency, and simplicity of the proposed model.

The Case Study of Design on Steel Pipe Sheet Pile for Earth Retaining Wall on Deep Excavation (대심도 지반굴착을 위한 벽강관말뚝 흙막이공법의 설계 사례 연구)

  • Byung-Il Kim;Jong-Ku Lee;Kyoung-Tae Kim;Kang-Han Hong;Sang-Jae Han
    • Journal of the Korean Geosynthetics Society
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    • v.22 no.1
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    • pp.53-66
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    • 2023
  • In this study, the results of the elasto-plastic beam analysis, finite element analysis and optimization design of the steel pipe sheet pile applied as an earth retaining wall under the deep excavation were presented. Through this study, it was found that the high-strength and sea resistant steel pipe has high allowable stress, excellent structural properties, favorable corrosion, and high utilization as an earth retaining wall, and the C-Y type joint has significantly improved the tensile strength and stiffness compared to the traditional P-P type. In addition, it was investigated that even if the leak or defect of the wall occurs during construction, it has the advantage of being able to be repaired reliably through welding and overlapping. In the case of steel pipe wall, they were evaluated as the best in views of the deep excavation due to the large allowable bending stress and deformation flexibility for the same horizontal displacement than CIP or slurry wall. Elasto-plastic and finite element analysis were conducted in consideration of ground excavation under large-scale earth pressure (uneven pressure), and the results were compared with each other. Quantitative maximum value were found to be similar between the two methods for each item, such as excavation behavior, wall displacement, or member force, and both analysis method were found to be applicable in design for steel pipe sheet pile wall. Finally, it was found that economical design was possible when determining the thinnest filling method with concrete rather than the thickest hollow shape in the same diameter, and the depth (the embedded length through normality evaluation) without rapidly change in displacement and member force.