• 제목/요약/키워드: Plastic equilibrium method

검색결과 60건 처리시간 0.023초

Plastic deformation characteristics of disintegrated carbonaceous mudstone under dynamic loading

  • Qiu, Xiang;Yin, Yixiang;Jiang, Huangbin;Fu, Sini;Li, Jinhong
    • Geomechanics and Engineering
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    • 제31권1호
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    • pp.87-97
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    • 2022
  • The excessive settlement and deformation of disintegrated carbonaceous mudstone (DCM) embankments under dynamic loading have long been problems for engineers and technicians. In this work, the characteristics and mechanism of the plastic deformation of DCM under different degrees of compaction, water contents and confining pressures were studied by static triaxial, dynamic triaxial and scanning electron microscopy testing. The research results show that the axial stress increases with increasing confining pressure and degree of compaction and decreases with increasing water content when DCM failure. The axial strain at failure of the DCM decreases with increasing confining pressure and degree of compaction and increases with increasing water content. Under cyclic dynamic stress, the change in the axial stress level of the DCM can be divided into four stages: the stable stage, transition stage, safety reserve stage and unstable stage, respectively. The effects of compaction, water content and confining pressure on the critical axial stress level which means shakedown of the DCM are similar. However, an increase in confining pressure reduces the effects of compaction and water content on the critical axial stress level. The main deformation of DCM is fatigue cracking. Based on the allowable critical axial stress, a method for embankment deformation control was proposed. This method can determine the degree of compaction and fill range of the embankment fill material according to the equilibrium moisture content of the DCM embankment.

앵커토류벽의 탄소성보 해석에 관한 연구 (Beam on Elasto-Plastic Foundation Modeling of Tieback Walls)

  • 김낙경
    • 한국지반공학회지:지반
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    • 제14권6호
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    • pp.81-92
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    • 1998
  • 앵커로 지지된 토류벽의 거동 해석기법에는 한계평형이론해석 (Limit Equilibrium Analysis), 유한요소해석(Finite Element Analysis), 그리고 탄소성보 해석법(Beam on Elasto-Plastic Foundation) 등이 있다. 이 중에서 탄소성보 해석법은 토류벽체의 변위, 휨모멘트, 토압분포 등을 구할 수 있고 유한요소해석에 비해 입력자료가 간편한 장점으로 인하여 널리 사용되어 왔다 (Haliburton. 1968.; Pfister등.. 1982: Briaud와 김 낙경, 1998), 탄소성보 해석법은 토류벽체를 탄성보로 모델링하고 지반을 탄소성 토압-변위 곡선 (Elasto-Plastic p-y Curve)으로 표시되는 스프링으로 모델링 하여 지반-토류벽 상호작용을 해석하는 기법이다. 그러므로 앵커토류벽의 탄소성보 해석법은 실제 거동을 모사할 수 있는 토압-변위 곡선의 구성 여부에 따라 그 해석 결과가 좌우된다. 본 논문에서는 미 국립토질시험장(U.S. National Geotechnical experimentation Site)에서 시공된 앵커토류벽의 변위,휨모멘트 계측자료로부터 Cubic Spline 함수를 이용하여 시공단계별로 토류벽에 작용하는 토압을 산정함으로서 토압-변위 곡선을 구성하였다. 구성된 토압-변위 곡선을 이용하여 탄소성 보해석을 실시하여 실측된 변위 및 휨모멘트와 비교함으로서 실험적인 토압-변위 곡선을 평가하고 시공단계를 적절히 고려할 수 있는 탄소성보 해석기법을 제안하였다.

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정적 외연적 유한요소법을 이용한 비드 펀치 행정거리가 드로우비드 공정에 미치는 영향에 관한 연구 (A Study on the Influence of the Punch Stroke of Bead on the Draw-bead process by using Static-explicit Finite Element Method)

  • 정동원
    • 한국해양공학회지
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    • 제15권2호
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    • pp.72-78
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    • 2001
  • The bead is used to provide properly restraining force in the sheet metal forming process. This bead process includes bending and geometrical non-linearity, and affects the state of binderwrap. Therefore, the analysis of bead process is very important to obtain the desired formability. In this paper, the research about the influence of the punch stroke of bead on the draw-bead process was conducted. Results from the analysis will give useful information to the effective tool design of blank forming process. To analyze the bead process, and elasto-plastic finite element formulation is constructed from the equilibrium equation and the considered boundary conditions involved a proper contact condition. The static-explicit finite element method as a numerical method for the analysis was applied to the analysis program code. It was found that this method could solve too much computation time and convergence problem owing to high non-linearity of bead forming process.

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강소성 변형 해석을 위한 최소 제곱 무요소법 (The Least-Squares Meshfree Method for the Analysis of Rigid-Plastic Deformation)

  • 윤성기;권기찬
    • 대한기계학회논문집A
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    • 제28권12호
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    • pp.2019-2031
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    • 2004
  • The least-squares formulation for rigid-plasticity based on J$_2$-flow rule and infinitesimal theory and its meshfree implementation using moving least-squares approximation are proposed. In the least-squares formulation the squared residuals of the constitutive and equilibrium equations are minimized. Those residuals are represented in a form of first-order differential system using the velocity and stress components as independent variables. For the enforcement of the boundary and frictional contact conditions, penalty scheme is employed. Also the reshaping of nodal supports is introduced to avoid the difficulties due to the severe local deformation near the contact interface. The proposed least-squares meshfree method does not require any structure of extrinsic cells during the whole process of analysis. Through some numerical examples of metal forming processes, the validity and effectiveness of the method are investigated.

Simplified equations for Vierendeel design calculations of composite beams with web openings

  • Panedpojaman, Pattamad
    • Steel and Composite Structures
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    • 제27권4호
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    • pp.401-416
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    • 2018
  • Composite beams with web openings are vulnerable to Vierendeel bending failure. The available methods provide quite conservative estimates of Vierendeel bending resistance. An alternative design method to compute the resistance was proposed in this study, based on quadratic nonlinear interactions of normalized shear force, axial force and Vierendeel bending moment. The interactions of the top and bottom Tee section must satisfy mutual conditions to prevent the Vierendeel failure. The normalized shear force and Vierendeel bending moment of the composite part were used instead in the top Tee interaction. The top Tee axial force was computed based on force equilibrium. Based on a rigid-plastic model, the composite resistance is estimated using an effective slab width of the vertical shear resistance. On using the proposed method, nonlinear reductions due to shear loads and axial forces are not required, in contrast to prior methods. The proposed method was validated against experiments from literature. The method limitations and accuracy as well as the Vierendeel behavior were investigated by finite element simulations, with varied composite beam parameters. The proposed design loads are less conservative than earlier estimates and deviate less from the simulations.

점토층위의 모래지반에 위치한 얕은 기초의 지지력에 대한 상한 한계해석 (Upper Bound Limit Analysis of Bearing Capacity for Surface Foundations on Sand Overlying Clay)

  • 김대현;야마모토켄타로
    • 한국지반공학회논문집
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    • 제20권3호
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    • pp.85-96
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    • 2004
  • 본 연구는 점토층위의 모래지반에 위치하는 표면기초의 극한지지력에 대해 이론적으로 조사하였다. 실용적인 적용을 위하여 표면기초의 지지력에 관한 연구들에 대한 검토와 논의가 제시되며, 한계해석(Limit Analysis)의 운동학적 접근방법을 이용하여 정해의 극한 지지력이 계산되었다. 운동학적 해는 상한값이며 해의 정확성은 파괴메카니즘의 형상에 달려 있다. 이러한 방법은 설계도표를 만드는데 편리할 뿐만 아니라 물성치의 영향을 추정할 수 있다. 본 연구에서는 범용 유한요소해석 프로그램인 ABAQUS를 사용하여 탄소성 이론에 근거하여 극한지지력을 계산하였다. 운동학적 방범으로 계산된 결과와 유한요소 해석, 한계평형론에 근거한 몇몇 알려진 식들(Yamaguchi, Meyerhof와 Okamura 등)에 의한 결과를 비교하였다. 아울러, 운동학적 방법에 의한 제안식과 유한요소해석 결과와 한계평형해석 결과의 유효성에 대하여 검증하였다.

A matrix displacement formulation for minimum weight design of frames

  • Orakdogen, Engin
    • Structural Engineering and Mechanics
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    • 제14권4호
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    • pp.473-489
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    • 2002
  • A static linear programming formulation for minimum weight design of frames that is based on a matrix displacement method is presented in this paper. According to elementary theory of plasticity, minimum weight design of frames can be carried out by using only the equilibrium equations, because the system is statically determinate when at an incipient collapse state. In the present formulation, a statically determinate released frame is defined by introducing hinges into the real frame and the bending moments in yield constraints are expressed in terms of unit hinge rotations and the external loads respectively, by utilizing the matrix displacement method. Conventional Simplex algorithm with some modifications is utilized for the solution of linear programming problem. As the formulation is based on matrix displacement method, it may be easily adopted to the weight optimization of frames with displacement and deformation limitations. Four illustrative examples are also given for comparing the results to those obtained in previous studies.

Analysis of RC walls with a mixed formulation frame finite element

  • Saritas, Afsin;Filippou, Filip C.
    • Computers and Concrete
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    • 제12권4호
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    • pp.519-536
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    • 2013
  • This paper presents a mixed formulation frame element with the assumptions of the Timoshenko shear beam theory for displacement field and that accounts for interaction between shear and normal stress at material level. Nonlinear response of the element is obtained by integration of section response, which in turn is obtained by integration of material response. Satisfaction of transverse equilibrium equations at section includes the interaction between concrete and transverse reinforcing steel. A 3d plastic damage model is implemented to describe the hysteretic behavior of concrete. Comparisons with available experimental data on RC structural walls confirm the accuracy of proposed method.

축압축력을 받는 원통형 축대칭 쉘구조의 거동에 관한 연구 (A Study on the Behavior of Cylindrical Shell Structure Subjected to Axial Compression)

  • 조현영;정진환;황상필
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.249-253
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    • 1997
  • A numerical method for evaluating the equilibrium path of cylindrical shell subject to axial load and eccentrically axial load is presented. The effects of both material and geometric nonlinearities were also considered in the analysis. The nonlinear formulation was based on the total Lagrangian description and nonlinear equtions were solved by the Newton-Raphson method with load increment procedures. Degenerate shell elements with layered approach were employed for the analysis. The elasto-plastic deformation can be found in several examples and a large eccentricity of the axial load reduces the stress level at the time of the local buckling of the pipe considerably.

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리어 힌지 패널 스템핑의 유한요소해석 (Finite Element Analysis of Auto-body Panel Stamping)

  • 정동원;이장희;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1996년도 자동차부품 제작기술의 진보
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    • pp.97-109
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    • 1996
  • In the present work computations are carried out for analysis of complicated sheet metal forming process such as forming of a rear hinge. Finite element formulation using dynamic explicit time integration scheme and step-wise combined Implicit/Explicit scheme are introduced for numerical analysis of sheet metal forming process. The rigid-plastic finite element method based on membrane elements has long been employed as a useful numerical technique for the analysis of sheet metal forming because of its time effectiveness. The explicit scheme in general use is based on the elastic-plastic modelling of material requiring large computation time. In finite element simulation of sheet metal forming processes, the robustness and stability of computation are important requirements since the computation time and convergency become major points of consideration besides the solution accuracy due to the complexity of geometry and boundary conditions. The implicit scheme employs a more reliable and rigorous scheme in considering the equilibrium at each step of deformation, while in the explicit scheme the problem of convergency is eliminated at the cost of solution accuracy. The explicit approach and the implicit approach have merits and demerits, respectively. In order to combine the merits of these two methods a step-wise combined implicit/explicit scheme has been developed.