• 제목/요약/키워드: Computational Plasticity

검색결과 174건 처리시간 0.024초

LIMIT ANALYSIS OF CONTINUOUS STRUCTURES USING MATHEMATICAL PROGRAMMING

  • Victor-A.Pulmano;Loi, Francis-Tin
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1992년도 가을 학술발표회 논문집
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    • pp.7-19
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    • 1992
  • An efficient approach to limit analysis is presented whereby a continuous perfectly plastic structure is replaced by a discrete mathematical model. It is formulated as a mathematical programming problem using the static theorem of plasticity. The discretization is accomplished by writing the governing equilibrium equations in finite difference form, and is combined with piecewise linearization of the nonlinear yield curve, thus converting the formulation into a linear programming exercise. Examples of reported cases involving plates and shells are solved to illustrate the ease of application of the present method, its flexibility and accuracy - features which it make attractive to practising engineers.

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균열닫힘모델을 이용한 수치해석 (Numerical Analysis of Crack Growth Using a Crack Closure Model)

  • 최동호;최항용;이준구
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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    • pp.365-372
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    • 2001
  • This study is concerned with the application of an analytical model of cyclic crack growth that includes the effects of crack closure. The crack closure model is based on the Dugdale model and the strip model, considering the plasticity-induced closure which is caused by residual plastic deformation remaining in the wake of an advancing crack. This study is performed to get the relation between crack growth and crack opening stress with the constant stress ratio, and the relation between stress ratio and crack opening stress with the constant maximum stress under constant-amplitude loading. Under constant-amplitude loading, the crack opening stress is conversed the constant value as a crack grows and is proportion to both the stress ratio and the maximum stress. The crack closure effect, however, is decreased in the positive stress ratio and disappeared at about 0.7. The crack growth analysis using the crack closure model shows that the influence of stress ratio is minimized in the relation between crack growth ratio and effective stress intensity range specially at the negative stress ratio.

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p-Version 유한요소법에 기초한 EPFM 해석법의 정확성 (Accuracy of EPFM Approach Based on the p-Version of F.E.M.)

  • 홍종현;우광성;박진환
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.429-436
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    • 1999
  • The best available solution to predict the fatigue life of structural steels is the implementation of EPFM approach based on the principles and techniques of elasto plastic fracture mechanics. To predict the fatigue life, the conventional Paris law has been modified by substituting the range of J-value denoted by ΔJ for ΔK that is calculated by the proposed p-version model. The proposed P-version finite element model is formulated by the incremental theory of Plasticity that consists of the constitutive equation fur elastic-perfectly plastic materials, Tresca/von-Mises yield criteria, and associated flow rule. The experimental fatigue test is conducted with five UP(Center Clucked Panels) specimens to validate the accuracy of the p-version finite element model. Also, the results obtained by LTM approach have been compared with those by EPFM approach.

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정사각형 컵 디프드로잉의 탄소성 유한 요소해석 (An Elastic-Plastic FE Analysis of a Square Cup Deep Drawing Process)

  • 서의권;심현보
    • 소성∙가공
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    • 제5권1호
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    • pp.8-17
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    • 1996
  • In the present study SEAM (Shear Energy Augmented Membrane) elements have been devel-oped. Maintaining the numerical efficiency of conventional membrane elements the effect of out-of-plane deformation (transverse shear deformation) has been incorporated for the purpose of computational stabilization without introducing additional degrees of freedom. Computations are carried out for the deep drawings of square cup to check the validity and the effectiveness of proposed SEAM elements. The computational results are compared with both the existing results. And the effects of process variables like initial sheet thickness punch & die round and clearance are checked

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재료적 비선형을 고려한 Ρ-Version 유한요소해석 (Ρ-Version Finite Element Analysis for Material Nonlinearity)

  • 정우성;홍종현;우광성;신영식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 봄 학술발표회 논문집
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    • pp.71-78
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    • 1997
  • The high precision analysis by the p-version of the finite element method are fairly well established as highly efficient method for linear elastic problems, especially in the presence of stress singularity. It has been noted that the merits of p-version are accuracy, modeling simplicity, robustness, and savings in user's and CPU time. However, little has been done to exploit their benefits in elasto-plastic analysis. In this paper, the p-version finite element model is proposed for the materially nonlinear analysis that is based on the incremental theory of plasticity, the associated flow rule, and von-Mises yield criteria. To obtain the solution of nonlinear equation, the Newton-Raphson method and initial stiffness method, etc are used. Several numerical examples are tested with the help of the square plates with cutout, the thick-walled cylinder under internal pressure, and the center cracked plate under tensile loading. Those results are compared with the there cal solutions and the numerical solutions of ADINA software.

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변형률 경화효과를 고려한 탄소성 균열판의 p-Version 유한요소해석 (p-Version Finite Element Analysis of Elasto-Plastic Cracked Plates Including Strain Hardening Effects)

  • 우광성;홍종현;윤영필
    • 한국전산구조공학회논문집
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    • 제12권4호
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    • pp.537-549
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    • 1999
  • 선형탄성 파괴해석은 균열을 갖는 변형률 경화재료의 파괴거동을 예측하는데 불충분하기 때문에 최근에는 균열 선단 부에서 대규모 소성 역을 갖는 균열 체에 적용할 수 있는 많은 파괴역학개념이 제안되고 있다. 따라서, 본 연구에서는 대규모항복 조건하의 연성파괴를 보이는 평판을 정확하게 해석할 수 있는 새로운 유한요소모델을 제시하고자 한다. 균열 선단 부의 응력 장을 정의하는데 가장 지배적인 파괴매개변수인 J-적분 값과 소성 역의 크기 및 형상을 J-적분법과 등가영역적분법을 통해 파괴거동을 설명할 수 있도록 증분소성이론에 기초를 둔 p-version 유한요소해석이 채택되었다. 제안된 유한요소모델에 의한 수치해석결과는 이론 해와 h-version 유한요소해석과 비교되었다.

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파일형 선박충돌방호공의 거동특성 (Behavior characteristics of Pile-type vessel collision protective structure)

  • 이정우;박준석;이계희
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2010년도 정기 학술대회
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    • pp.433-436
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    • 2010
  • 본 논문에서는 파일형 선박충돌 방호공에 선박이 충돌하였을 때 방호공의 거동을 해석하였다. 방호공의 구조는 상부슬래브, RCP 말뚝 및 이를 지지하는 지반은 비선형 지반스프링으로 모델링 하였다. 상부슬래브 8절점요소로 모델링 하였으며 철근과 콘크리트로 구성되어있다. RCP 말뚝은 철근망과 충진콘크리트로 구성되어있으며 충돌 시 파괴거동을 표현할 수 있는 Damaged Plasticity로 모델을 사용하였고 Shell 요소로 모델링 하였다. 선박충돌 시 선박의 강성에 따른 거동 특성을 파악하기 위해 선박을 강체모델과 실제모델에 대한 해석을 수행하였다. 선박과 교량의 충돌은 정면충돌로 고려하였으며, 충돌속도는 3.3m/sec로 가정하였다. 선박과 방호공과의 충돌 해석은 비선형 해석 프로그램인 ABAQUS/Explicit을 이용하여 수행하였으며, 이를 통하여 선박 충돌 시 방호공의 에너지 거동을 분석하였다. 해석결과 선박의 강성이 커질수록 슬래브의 변형 및 소산 에너지량이 커지는 것을 확인할 수 있었다.

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환상압연 공정의 실용적 모델링 방법에 관한 연구 (A Study on the Practical Finite Element Modeling Method for Ring Rolling)

  • 이두규;김응주;이용신
    • 소성∙가공
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    • 제24권3호
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    • pp.161-166
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    • 2015
  • The finite element method has been widely used in the analysis of ring rolling. For ring rolling it requires a high computational expense due to the non-steady state material flow characteristics of the process. The high computational expense causes the finite element analysis to be impractical for industrial applications. In the current study, we aim to develop a practical implicit finite element modeling method for ring rolling. This method uses a step-wise steady state assumption and is called the “Stepped method”. The stepped method divides the whole process time of unsteady-state flow model into a finite number of steady-state models. It then solves the process at several specific time steps until convergence is reached. In order to confirm the performance and validity of the newly proposed stepped method, the result from the stepped method were compared to the results from a Lagrangian finite element method and to results from experiments reported in the literature.

Instability of (Heterogeneous) Euler beam: Deterministic vs. stochastic reduced model approach

  • Ibrahimbegovic, Adnan;Mejia-Nava, Rosa Adela;Hajdo, Emina;Limnios, Nikolaos
    • Coupled systems mechanics
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    • 제11권2호
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    • pp.167-198
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    • 2022
  • In this paper we deal with classical instability problems of heterogeneous Euler beam under conservative loading. It is chosen as the model problem to systematically present several possible solution methods from simplest deterministic to more complex stochastic approach, both of which that can handle more complex engineering problems. We first present classical analytic solution along with rigorous definition of the classical Euler buckling problem starting from homogeneous beam with either simplified linearized theory or the most general geometrically exact beam theory. We then present the numerical solution to this problem by using reduced model constructed by discrete approximation based upon the weak form of the instability problem featuring von Karman (virtual) strain combined with the finite element method. We explain how such numerical approach can easily be adapted to solving instability problems much more complex than classical Euler's beam and in particular for heterogeneous beam, where analytic solution is not readily available. We finally present the stochastic approach making use of the Duffing oscillator, as the corresponding reduced model for heterogeneous Euler's beam within the dynamics framework. We show that such an approach allows computing probability density function quantifying all possible solutions to this instability problem. We conclude that increased computational cost of the stochastic framework is more than compensated by its ability to take into account beam material heterogeneities described in terms of fast oscillating stochastic process, which is typical of time evolution of internal variables describing plasticity and damage.

콘크리트의 탄-소성 이방성-손상 모델 (Elasto-Plastic Anisotropic-Damage Model for Concrete)

  • 이기성;송하원
    • 전산구조공학
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    • 제9권1호
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    • pp.65-76
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    • 1996
  • 콘크리트의 미세공극 혹은 미세균열의 발생과 성장은 콘크리트의 점차적인 물성 저하를 야기한다. 이와같은 손상은 이방성을 가지며 소성과 함께 콘크리트의 비선형거동을 일으키는 주요원인이 된다. 본 논문은 콘크리트의 탄소성 변형 및 손상을 고려하여 콘크리트의 이방성 손상거동을 해석할 수 있는 콘크리트 연속체 손상모델의 개발에 관한 연구이다. 등가 탄성 에너지원리를 이용하여 이방 손상텐서로 표현된 유효탄성텐서를 구하고, 이를 포함하고 있는 열역학 법칙의 자유에너지함수와 소산포텐셜로부터 손상의 전개법칙을 유도한 후, 손상에너지해방률의 함수로 표현한 손상면을 적용하므로써 콘크리트의 이상성손상을 효율적으로 해석 할 수 있는 구성방정식을 유도하였다. 또한 이방성 손상모델에 콘크리트의 소성모델을 도입시켜 탄소성 변형 및 손상을 함께 고려할 수 있는 콘크리트의 연속체 손상모델을 개발하였다. 개발된 손상모델을 유한요소해석 프로그램에 적용하여 1축 및 2축의 여러 조합응력을 받는 콘크리트 모형을 유한요소해석하였으며, 실험결과 또는 타 모델과의 비교로부터 손상모델의 타당성을 검증하였다.

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