• 제목/요약/키워드: Plastic elements

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강체요소법에 의한 구형쉘의 탄소성해석에 관한 면구(II) -개구부 링을 갖는 구형쉘의 탄성 및 탄소성 해석- (A STUDY ON ELASTO-PLASTIC ANALYSIS OF SPHERICAL SHELL BY RIGID ELEMENT METHOD(II) - Elasto-Plastic Analysis of Spherical Shell with Open Stiff Ring -)

  • 박강근;서삼열;한상율;권택진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1988년도 가을 학술발표회 논문집
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    • pp.24-29
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    • 1988
  • In this paper, it is proposed hew the rigid element method suggested in the first paper can be applied to the elastic and elasto-plastic analysis of spherical shell with the open stiff ring. In the analytical model, the solution domain is divided into rectangular-shaped spherical bending elements. Each contact surface of two adjacent elements is interconnected with four elastic springs, and it is assumed that the internal forces are distritributed into springs. The 6 degrees of freedom of the element are placed in the center of elements, and the 6 cen-teroidal rigid displacements affect other elements through springs around elements. And then the solution domain is estimated by the behavior of elements and springs. In this study, these concepts are applied to the elastic and elasto-plastic analysis for the eight cases of the spherical shell according to the condition of stiff ring, the condion of loading and the size of opening. And then some numerical results such as the distribution of stresses, the force-displacement curves and the mode of fractures will he shown.

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Analytical p-version finite elements and application in analyses of structural collision protection

  • Zhu, B.;Chen, Y.M.;Leung, A.Y.T.
    • Structural Engineering and Mechanics
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    • 제23권5호
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    • pp.487-504
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    • 2006
  • Several new versatile two-dimensional p-version finite elements are developed. The element matrices are integrated analytically to guarantee the accuracy and monotonic convergence of the predicted solutions of the proposed p-version elements. The analysis results show that the convergence rate of the present elements is very fast with respect to the number of additional Fourier or polynomial terms in shape functions, and their solutions are much more accurate than those of the linear finite elements for the same number of degrees of freedom. Additionally, the new p-version plate elements without the reduced integration can overcome the shear locking problem over the conventional h-version elements. Using the proposed p-version elements with fast convergent characteristic, the elasto-plastic impact of the structure attached with the absorber is simulated. Good agreement between the simulated and experimental results verifies the present p-version finite elements for the analyses of structural dynamic responses and the structural elasto-plastic impact. Further, using the elasto-plastic impact model and the p-version finite element method, the absorber of the T structure on the Qiantang River is designed for its collision protection.

2차원 평면응력 상태에서 되풀이 소성역이 피로균열 열림 현상에 미치는 영향에 관한 연구 (An Evaluation on the Effect of Reversed Plastic Zone on the Fatigue Crack Opening Behavior under 2-D Plane Stress)

  • 최현창
    • 대한기계학회논문집A
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    • 제29권8호
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    • pp.1078-1084
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    • 2005
  • The relationship between fatigue crack opening behavior and the reversed plastic zone sizes is studied. An elastic-plastic finite element analysis (FEA) is performed to examine the opening behavior of fatigue crack, where the contact elements are used in the mesh of the track tip area. The smaller element size than reversed plastic zone size is used fer evaluating the distribution of reversed plastic zone. In the author's previous results the FEA could predict the crack opening level, which crack tip elements were in proportion to the theoretical reversed plastic zone size. It is found that the calculated reversed plastic zone size is related to the theoretical reversed plastic zone size and crack opening level. The calculated reversed plastic zone sizes are almost equal to the reversed plastic zone considering crack opening level obtained by experimental results. It can be possible to predict the crack opening level from the reversed plastic zone size calculated by finite element method. We find that the experimental crack opening levels correspond with the opening values of contact nodes on the calculated reversed plastic zone of finite element simulation.

Iterative global-local approach to consider the local effects in dynamic analysis of beams

  • Erkmen, R. Emre;Afnani, Ashkan
    • Coupled systems mechanics
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    • 제6권4호
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    • pp.501-522
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    • 2017
  • This paper introduces a numerical procedure to incorporate elasto-plastic local deformation effects in the dynamic analysis of beams. The appealing feature is that simple beam type finite elements can be used for the global model which needs not to be altered by the localized elasto-plastic deformations. An overlapping local sophisticated 2D membrane model replaces the internal forces of the beam elements in the predefined region where the localized deformations take place. An iterative coupling technique is used to perform this replacement. Comparisons with full membrane analysis are provided in order to illustrate the accuracy and efficiency of the method developed herein. In this study, the membrane formulation is able to capture the elasto-plastic material behaviour based on the von Misses yield criterion and the associated flow rule for plane stress. The Newmark time integration method is adopted for the step-by-step dynamic analysis.

근대조형예술에 있어서 분해구성 조직방식에 관한 연구 -리트벨트 초기작품을 중심으로- (A Study on Organizing Strategy of De-composition works in Modern Plastic Arts - Focused on Gerrit Rietveld's early works -)

  • 이광인
    • 한국디지털건축인테리어학회논문집
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    • 제3권1호
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    • pp.9-14
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    • 2003
  • The purpose of this study is to find out organizing strategy of de-composition works in modern plastic arts. Through investigating the development process of De Stijl painters and Rietveld's early works and analyzing the composition and disposition type of elements such as point, line, plane, color in the selected works, we can draw some conclusions. First, Rietveld pursues the dissolution of traditional volume and the de-composition of elements as Mondrian does through crossing-connection of three listels with quadrangular section. Second, Rietveld reorganized de-composition elements with detached lines and color planes. Third, Rietveld experimented possibility of new plastic space through displacing elements, opening space, making anti-gravity space.

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Capacity design of boundary elements of beam-connected buckling restrained steel plate shear wall

  • Liu, Wen-Yang;Li, Guo-Qiang;Jiang, Jian
    • Steel and Composite Structures
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    • 제29권2호
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    • pp.231-242
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    • 2018
  • As a lateral load resisting component, buckling restrained steel plate shear walls (BRW) have excellent energy dissipating capacity. Similar to thin steel plate shear walls, the mechanical behavior of BRWs depends on the boundary elements (adjacent beams and columns) which need adequate strength and stiffness to ensure the complete yielding of BRWs and the emergence of expected plastic collapse mechanism of frame. This paper presents a theoretical approach to estimate the design forces for boundary elements of beam-connected BRW (i.e., The BRW is only connected to beams at its top and bottom, without connections to columns) using a fundamental plastic collapse mechanism of frame, a force transferring model of beam-connected BRW and linear beam and column analysis. Furthermore, the design method of boundary beams and columns is presented. The proposed approach does not involve nonlinear analyses, which can be easily and efficiently used to estimate the design forces of beams and columns in a frame with BRWs. The predicted design forces of boundary elements are compared with those from nonlinear finite element analyses, and a good agreement is achieved.

충격하중을 받는 구조부재의 탄소성 파괴해석 프로그램 개발 (Development of Elastic-Plastic Fracture Analysis Program for Structural Elements under an Impact Loadings)

  • 김경수;박준범
    • 대한조선학회논문집
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    • 제35권1호
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    • pp.61-71
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    • 1998
  • 본 논문에서는 2차원 공간에서의 탄성 또는 탄소성응력파를 받는 구조부재의 동적 파괴거동을 다룬다. 이러한 문제에 대한 지배방정식은 운동방정식과 탄소성 구성방정식에 대한 증감식으로 구성된 쌍곡선 편미분 방정식으로 나타나고, 이를 풀기 위해 유한차분법을 기초로 한 Zwas방법이 도입된다. 또한 탄소성문제의 동적거동을 나타내기 위해 응력공간내 탄소성 loading path가 소성항복 현상을 모델링하는데 제안된다. 이러한 계산결과를 바탕으로 탄성체의 균열선단의 동적응력확대계수가 계산되어지고, 탄소성체에 대한 소성영역의 형상의 시간이력을 보여준다.

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Numerical Analysis for Prediction of Fatigue Crack Opening Level

  • Choi, Hyeon Chang
    • Journal of Mechanical Science and Technology
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    • 제18권11호
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    • pp.1989-1995
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    • 2004
  • Finite element analysis(FEA) is the most popular numerical method to simulate plasticity-induced fatigue crack closure and can predict fatigue crack closure behavior. Finite element analysis under plane stress state using 4-node isoparametric elements is performed to investigate the detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The mesh of constant size elements on the crack surface can not correctly predict the opening level for fatigue crack as shown in the previous works. The crack opening behavior for the size mesh with a linear change shows almost flat stress level after a crack tip has passed by the monotonic plastic zone. The prediction of crack opening level presents a good agreement with published experimental data regardless of stress ratios, which are using the mesh of the elements that are in proportion to the reversed plastic zone size considering the opening stress intensity factors. Numerical interpolation results of finite element analysis can precisely predict the crack opening level. This method shows a good agreement with the experimental data regardless of the stress ratios and kinds of materials.

Determination of collapse safety of shear wall-frame structures

  • Cengiz, Emel Yukselis;Saygun, Ahmet Isin
    • Structural Engineering and Mechanics
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    • 제27권2호
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    • pp.135-148
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    • 2007
  • A new finite shear wall element model and a method for calculation of 3D multi-storied only shear walled or shear walled - framed structures using finite shear wall elements assumed ideal elasto - plastic material are developed. The collapse load of the system subjected to factored constant gravity loads and proportionally increasing lateral loads is calculated with a method of load increments. The shape functions over the element are determined as a cubic variation along the story height and a linear variation in horizontal direction because of the rigid behavior of the floor slab. In case shear walls are chosen as only one element in every floor, correct solutions are obtained by using this developed element. Because of the rigid behavior of the floor slabs, the number of unknowns are reduced substantially. While in framed structures, classical plastic hinge hypothesis is used, in nodes of shear wall elements when vertical deformation parameter is exceeded ${\varepsilon}_e$, this node is accepted as a plastic node. While the system is calculated with matrix displacement method, for determination of collapse safety, plastic displacements and plastic deformations are taken as additional unknowns. Rows and columns are added to the system stiffness matrix for additional unknowns.

일반유한요소법을 이용한 집중소성힌지 모델링 (Plastic Hinge Modeling Based on Lumped Plasticity using a Generalized Finite Element Method)

  • 손홍준;이승호;김대진
    • 한국전산구조공학회논문집
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    • 제31권6호
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    • pp.381-388
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    • 2018
  • 본 논문은 고전적인 오일러-베르누이 보의 집중소성힌지 모델링을 위한 일반유한요소법을 제안한다. 이 기법에서 소성힌지는 해의 약불연속을 묘사하는 적절한 확장함수에 의해 모델링되며, 요소간의 연결성을 변화시키지 않으면서 임의의 위치에 소성힌지를 삽입하는 것이 가능하다. 대신 소성힌지는 이미 존재하는 요소에 위계적으로 자유도를 추가함으로써 형성된다. 제안된 기법의 유효성을 검증하기 위해 수치해석 예제에 대해 h-, p-확장과 같은 수렴성 해석을 수행하였다. 수렴성 해석의 결과가 제안된 기법이 소성힌지가 절점 및 요소 내의 임의의 위치에 존재하는 두 가지 경우 모두에 대하여 유한요소이론에 의한 수렴속도를 얻을 수 있음을 보여주어 기법의 정확성을 입증하였다.