• 제목/요약/키워드: Yield Criterion

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일방향 섬유로 성능향상된 교량 상판의 파괴거동 및 항복선 이론을 적용한 해석적 연구 (A Study on the Failure Behavior and the Application of Yield-Line Theory on the Bridge Decks Strengthened by Directional Fiber Plastic)

  • 심종성;오홍섭;류승무
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 봄 학술발표회 논문집
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    • pp.81-86
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    • 2001
  • The concrete bridge decks are in need of replacement and rehabilitation due to decreasing load carrying capacity. In this study, to propose a strengthening technique that improves usability and structural performance of the bridge deck and to propose an efficient strengthening design technique which satisfies both the strength End serviceability of the bridge deck, this paper shows the failure characteristics of the strengthened bridge decks and proposes an empirical yield criterion. Therefore, strengthening efficiency was proposed based on the experiment and yield line analysis result. The yield line theory which adopts the modified criteria of Johansen is considered to predict the ultimate strength about all strengthening material(Carbon Fiber Sheet, Carbon Fiber Rod, Grid Type Carbon Fiber).

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유한요소법과 상계법에 의한 반용융 재료의 항복거동 연구 (Study on Yield Behavior of Semi-Solid Material by Finite Element Method and Upper-Bound Method)

  • 최재찬;박준홍;김병민
    • 한국정밀공학회지
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    • 제16권9호
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    • pp.89-95
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    • 1999
  • The compression behavior of semi-solid materials in studied from a viewpoint of yield criteria and analysis methods. To describe the behavior of materials in semi-solid state, several theories have been proposed by extending the concept of plasticity of porous compressible materials. in the present work, the upper-bound method and the finite element method are used to model the simple compression process using yield criteria of Kuhn and Doraivelu. Segregation between solid and liquid which cause defect of product is analysed for Sn-15%Pb alloy is compared with the experimental result of Charreyron et al..

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J2 와 J3 불변량에 기초한 항복함수의 제안과 이방성 판재에의 적용 (Yield Functions Based on the Stress Invariants J2 and J3 and its Application to Anisotropic Sheet Materials)

  • 김영석;눙엔푸반;김진재
    • 소성∙가공
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    • 제31권4호
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    • pp.214-228
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a novel anisotropic yield function useful for describing the plastic behavior of various anisotropic sheets. The proposed yield function includes the anisotropic version of the second stress invariant J2 and the third stress invariant J3. The anisotropic yield function newly proposed in this study is as follows. F(J2)+ αG(J3)+ βH (J2 × J3) = km The proposed yield function well explains the anisotropic plastic behavior of various sheets by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to aluminum sheet shows symmetrical yielding behavior and to pure titanium sheet shows asymmetric yielding behavior, it was shown that the yield curve and yield behavior of various types of sheet materials can be predicted reasonably by using the proposed new yield anisotropic function.

J2 와 J3 불변량에 기초한 비대칭 항복함수의 제안(II) (Asymmetric Yield Functions Based on the Stress Invariants J2 and J3(II))

  • 김영석;눙엔푸반;안정배;김진재
    • 소성∙가공
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    • 제31권6호
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    • pp.351-364
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a modified version of previous anisotropic yield function (Trans. Mater. Process., 31(4) 2022, pp. 214-228) based on J2 and J3 stress invariants. The proposed anisotropic yield model has the 6th-order of stress components. The modified version of the anisotropic yield function in this study is as follows. f(J20,J30) ≡ (J20)3 + α(J30)2 + β(J20)3/2 × (J30) = k6 The proposed anisotropic yield function well explains the anisotropic plastic behavior of various sheets such as aluminum, high strength steel, magnesium alloy sheets etc. by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to AA6016-T4 aluminum and DP980 sheets shows symmetrical yielding behavior and to AZ31B magnesium shows asymmetric yielding behavior, it was shown that the yield locus and yielding behavior of various types of sheet materials can be predicted reasonably by using the proposed anisotropic yield function.

평면이방성 박판성형공정의 3차원 유한요소해석 (3-D FEM Analysis of Forming Processes of Planar Anisotropic Sheet Metal)

  • 이승열;금영탁;박진무
    • 대한기계학회논문집
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    • 제18권8호
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    • pp.2113-2122
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    • 1994
  • The 3-D FEM analysis for simulating the stamping operation of planar anisotropic sheet metals with arbitrarily-shaped tools is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The consistent full set of governing relations, comprising equilibrium equation and mesh-normal geometric constraints, is appropriately linearized. The linear triangular elements are used for depicting the formed sheet, based on membrane approximation. Barlat's non-quadratic anisotropic yield criterion(strain-rate potential) is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and non-quadratic function parameter. The planar anisotropic finite element formulation is tested with the numerical simulations of the stamping of an automotive hood inner panel and the drawing of a hemispherical punch. The in-plane anisotropic effects on the formability of both mild steel and aluminum alloy sheet metals are examined.

Evaluation criterion for different methods of multiple-attribute group decision making with interval-valued intuitionistic fuzzy information

  • Qiu, Junda;Li, Lei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권7호
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    • pp.3128-3149
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    • 2018
  • A number of effective methods for multiple-attribute group decision making (MAGDM) with interval-valued intuitionistic fuzzy numbers (IVIFNs) have been proposed in recent years. However, the different methods frequently yield different, even sometimes contradictory, results for the same problem. In this paper a novel criterion to determine the advantages and disadvantages of different methods is proposed. First, the decision-making process is divided into three parts: translation of experts' preferences, aggregation of experts' opinions, and comparison of the alternatives. Experts' preferences aggregation is considered the core step, and the quality of the collective matrix is considered the most important evaluation index for the aggregation methods. Then, methods to calculate the similarity measure, correlation, correlation coefficient, and energy of the intuitionistic fuzzy matrices are proposed, which are employed to evaluate the collective matrix. Thus, the optimal method can be selected by comparing the collective matrices when all the methods yield different results. Finally, a novel approach for aggregating experts' preferences with IVIFN is presented. In this approach, experts' preferences are mapped as points into two-dimensional planes, with the plant growth simulation algorithm (PGSA) being employed to calculate the optimal rally points, which are inversely mapped to IVIFNs to establish the collective matrix. In the study, four different methods are used to address one example problem to illustrate the feasibility and effectiveness of the proposed approach.

강소성 유한요소법을 이용한 평면 이방성 재료의 디프 드로잉 해석 (Analysis of Deep Drawing of Planar Anisotropic Materials Using the Rigid- Plastic Finite Element Method)

  • 김형종;김동원
    • 대한기계학회논문집
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    • 제16권2호
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    • pp.248-258
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    • 1992
  • Three-dimensional rigid-plastic finite element formulation based on the membrane theory was described and a computer program for large deformation analysis was developed. In the formulation, normal and planar anisotropy of sheet material and rotation of the principal axes of anisotropy was taken into consideration. Sheet metal was assumed to be rigid-plastic material obeying Hill's quadratic yield criterion and its associated flow rule. Deep drawing process, as a preliminary test, for normal anisotropic material was analyzed in order to examine the validity of developed finite element program. The results were consistent with the existing finite element solutions or experimental data. The present study was mainly concerned with the influence of planar anisotropy on deformation behaviour. Finite element analysis and experiment were carried out for the whole process of deep drawing of planar anisotropic material. The computational and experimental results on the shape of ear, strain distribution and punch load were in good agreement.

소성 비대칭성을 갖는 HCP 소재의 국부변형 및 네킹해석 (Localized Necking in a Round Tensile Bar for a HCP Material Considering Tension-compression Asymmetry in Plastic Flow)

  • 윤종헌;이정환
    • 소성∙가공
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    • 제21권5호
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    • pp.285-290
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    • 2012
  • In spite of progress in predicting ductile failure, the development of a macroscopic yield criterion to describe damage evolution in HCP (hexagonal close-packed) materials remains a challenge. HCP materials display strength differential effects (i.e., different behavior in tension versus compression) in their plastic response due to twinning. Cazacu and Stewart(2009) developed an analytical yield criterion for porous material containing randomly distributed spherical voids in an isotropic, incompressible matrix that shows tension-compression asymmetry. The goal of the calculations in this paper is to investigate the effect of the tension-compression asymmetry on necking induced by void nucleation, evolution and consolidation. In order to investigate the effect of the tension-compression asymmetry of the matrix on necking and fracture initiation, three isotropic materials A, B, and C were examined with different ratios of tension-compression asymmetry. The various types of material had BCC, FCC, and HCP crystal structures, respectively. The ratio between tension and compression in plastic flow significantly influences the fracture shape produced by damage propagation as well as affecting the localized neck.

승용차용 SPC 3 EN 킬드 강판의 등 2축 인장 가공성에 관한 연구 (A Study on the Equi-Biaxial Tensile Workability for the SPC 3 EN Automobile Killed Steel Sheets)

  • 김동원;서대교;김형종
    • 대한기계학회논문집
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    • 제10권5호
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    • pp.645-652
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    • 1986
  • 본 연구는 이상의 연구결과들을 비교한 결과, Hill에 의하여 최근에 제안된 새 항복조건식에 의한 해석방법을 종합 검토함으로써, 실험결과와 이론적 해석결과 와의 합리적인 접근을 얻을 수 있다고 예상하여 수행되었다. 더 나아가 Pearce가 그의 연구 결과에 대한 고찰에서, 아마도 R 값(Lankford값)이 변형도중에 계속 일정 하게 유지되지 않을 것이며, 그것이 실험결과가 이론적 해석결과와 일치하지 않는 한 가지 원인이 될 수 있다고 언급한 사실을 고려하고, 최근 R 값에 대한 연구에서 R 값 이 변형률의 크기에 의존된다는 사실을 감안하여 R 값을 실제로 측정하였으며, 그 결 과를 등 2축인장에서의 응력-변형률선도를 해석하는데 적용하였다.

유한요소법을 이용한 마그네슘 분말의 냉간정수압 공정시 치밀화 거동 해석 (Densification Behaviour of Magnesium Powders during Cold Isostatic Pressing using the Finite Element Method)

  • 윤승채;곽은정;최원형;김형근;김택수;김형섭
    • 한국분말재료학회지
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    • 제14권6호
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    • pp.362-366
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    • 2007
  • Magnesium and magnesium alloys are promising materials for light weight and high strength applications. In order to obtain homogeneous and high quality products in powder compaction and powder forging processes, it is very important to control density and density distributions in powder compacts. In this study, a model for densification of metallic powder is proposed for pure magnesium. The mode] considers the effect of powder characteristics using a pressure-dependent critical density yield criterion. Also with the new model, it was possible to obtain reasonable physical properties of pure magnesium powder using cold iso-state pressing. The proposed densification model was implemented into the finite element method code. The finite element analysis was applied to simulating die compaction of pure magnesium powders in order to investigate the density and effective strain distributions at room temperature.