• 제목/요약/키워드: von Mises plastic stress

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평면변형률상태에서의 von Mises 항복기준의 특성에 관한 이론적 연구 (Analytical Study on Characteristics of von Mises Yield Criterion under Plane Strain Condition)

  • 이승현;김병일
    • 한국산학기술학회논문지
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    • 제16권9호
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    • pp.6391-6396
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    • 2015
  • 2차원 응력조건에 대한 von Mises 항복기준의 특징을 살펴보기 위해 탄성변형률이 0이 되는 평면변형률 조건과 소성변형률증분이 0이 되는 평면변형률 조건을 고려해 보았다. 탄성변형률이 0인 평면변형률조건을 통해 얻은 항복함수와 평면응력조건에서의 항복함수는 기하학적으로 타원을 나타내는데 두 경우에 대한 기하하적 비교를 타원의 장, 단축의 길이비와 이심률의 비로 나타낼 때 단축비는 같았으나 장축비 및 이심률의 비는 포아송비의 함수로 표현되었다. 탄성변형률이 0인 평면변형률조건을 통해 얻은 von Mises 항복기준에 대하여 탄성거동을 보이는 영역은 포아송비가 커짐에 따라 넓어짐을 알 수 있었다. 소성변형률증분이 0인 평면변형률조건을 통해 관련유동법칙을 써서 항복함수를 구하였는데 기하하적으로 볼 때 평면응력조건에서의 항복함수가 타원임과는 달리 직선을 나타내었으며 평면응력조건일 때보다 탄성거동영역이 컸다.

Though-silicon-via를 사용한 3차원 적층 반도체 패키징에서의 열응력에 관한 연구 (Thermo-Mechanical Analysis of Though-silicon-via in 3D Packaging)

  • 황성환;김병준;정성엽;이호영;주영창
    • 마이크로전자및패키징학회지
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    • 제17권1호
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    • pp.69-73
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    • 2010
  • Through-silicon-via (TSV)를 포함하고 있는 3차원 적층 반도체 패키지에서 구조적 변수에 따른 열응력의 변화를 살펴보기 위하여 유한요소해석을 수행하였다. 이를 통하여 TSV를 포함하고 있는 3차원 적층 반도체 패키지에서 웨이퍼 간 접합부의 지름, TSV 지름, TSV 높이, pitch 변화에 따른 열응력의 변화를 예측하였다. 최대 von Mises 응력은 TSV의 가장 위 부분과 Cu 접합부, Si, underfill 계면에서 나타났다. TSV 지름이 증가할 때, TSV의 가장 위 부분에서의 von Mises 응력은 증가하였다. Cu 접합부 지름이 증가할 때, Si과 Si 사이의 Cu 접합부가 Si, underfill과 만나는 부분에서 von Mises 응력이 증가하였다. Pitch가 증가할 때에도, Si과 Si 사이의 Cu 접합부가 Si, underfill과 만나는 부분에서 von Mises 응력이 증가하였다. 한편, TSV 높이는 von Mises 응력에 크게 영향을 미치지 못하였다. 따라서 TSV 지름이 작을수록, 그리고 pitch가 작을수록 기계적 신뢰성은 향상되는 것으로 판단된다.

동하중 충격시에 시험편의 소성영역에 관한 연구 (A Study on the Plastic Zone of the Specimen at the Impact of Dynamic Load)

  • 한문식;조재웅
    • 한국자동차공학회논문집
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    • 제12권3호
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    • pp.139-144
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    • 2004
  • Dynamic crack initiation in ductile steel is investigated by means of impact loaded 3 point bend(PB) specimens. Results from non-viscoplastic and viscoplastic materials are compared. Their materials are applied with various impact velocities and static strain rates. The specimen has the size 320${\times}$750 mm with a thickness of 10 mm. A modified 3PB specimen design with reduced width at the ends has been developed in order to avoid the initial compressive load of the crack tip and also to avoid the uncertain boundary conditions at the impact heads. Numerical simulations are made by using the FEM code ABAQUS. Therefore, their results are plotted by shapes of the von Mises plastic stress and equivalent plastic strain of the specimens applied by various impact velocities.

평판에 충동하는 사각봉의 소성응력해석 (An Analysis of Plastic Stress in Square Bar Impacting Plate)

  • 김기선;조재웅;최두석
    • 한국자동차공학회논문집
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    • 제12권5호
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    • pp.198-204
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    • 2004
  • Dynamic fracture is investigated in plate applied by impacting bar. Numerical simulations of the experiments are made by using a finite element method(FEM) code, LS-DYNA. The eroding surface-to-surface contact allows between impacting bar and impacted plate. The occurrence of hourglass deformations in an analysis can invalidate results and hourglass energy is minimized to obtain the good accuracy of result. Total, internal and kinetic energies, von Mises plastic stress and X,Y,Z velocities of impacting bar are analyzed in this study.

Plastic behavior of circular discs with temperature-dependent properties containing an elastic inclusion

  • Zarandi, Somayeh Bagherinejad;Wang, Yun-Che;Novozhilova, Olga V.
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.731-743
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    • 2016
  • Plastic behaviors, based on the von Mises yield criterion, of circular discs containing a purely elastic, circular inclusion under uniform temperature loading are studied with the finite element analysis. Temperature-dependent mechanical properties are considered for the matrix material only. In addition to analyzing the plane stress and plane strain disc, a 3D thin disc and cylinder are also analyzed to compare the plane problems. We determined the elastic irreversible temperature and global plastic collapse temperature by the finite element calculations for the plane and 3D problem. In addition to the global plastic collapse, for the elastically hard case, the plane stress problem and 3D thin disc may exhibit a local plastic collapse, i.e. significant pile up along the thickness direction, near the inclusion-matrix interface. The pileup cannot be correctly modeled by the plane stress analysis. Furthermore, due to numerical difficulties originated from large deformation, only the lower bound of global plastic collapse temperature of the plane stress problem can be identified. Without considerations of temperature-dependent mechanical properties, the von Mises stress in the matrix would be largely overestimated.

Explicit code를 이용한 Lower control arm의 스탬핑 해석 (Analysis of stamping for the Lower control arm using Explicit code)

  • 하원필;임세영
    • 한국자동차공학회논문집
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    • 제2권4호
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    • pp.50-58
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    • 1994
  • To examine the residual stress field resulting from stamping process for the lower control arm of a car, the explicit finite element analysis is performed for the stamping process by way of the ABAQUS Explicit. The residual stress is obtained in terms of the Von Mises stress and other parameters such as equivalent plastic strain, the change of blank thickness, the final configuration of the blank and the spring back effect are also considered. Moreover, discussed is the convergence of the explicit FEM versus the punch sped and the element discretization

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탄소성 유한요소해석시 2차원 유한요소 밀도에 대한 반복하중이 작용하는 노치부의 변형률의 민감도 분석 (Sensitivity Analysis of Strain on Notches under Cyclic Loading to 2-D Finite Element Density in Elasto-Plastic Finite Element Analysis)

  • 김종성;장현수
    • 한국압력기기공학회 논문집
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    • 제17권1호
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    • pp.1-7
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    • 2021
  • This paper presents sensitivity analysis results of strain on notches under cycling loading to 2-D finite element density considering plasticity. Cylindrical notched specimens having some stress concentrations were modeled with 2-D axisymmetrical finite element having various finite element densities. Elasto-plastic finite element analysis was performed for the various finite element models subjected to cycling loading considering plasticity. The finite element analysis results were compared to investigate sensitivity of the finite element analysis variables such as von-Mises effective stress, accumulated equivalent plastic strain, and equivalent plastic strain to 2-D finite element density. As a result of the comparison, it was found that the accumulated equivalent plastic strain is more sensitive than the others whereas the von-Mises effective stress is much less sensitive.

Description of reversed yielding in thin hollow discs subject to external pressure

  • Alexandrov, Sergei E.;Pirumov, Alexander R.;Jeng, Yeau-Ren
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.661-676
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    • 2016
  • This paper presents an elastic/plastic model that neglects strain hardening during loading, but accounts for the Bauschinger effect. These mathematical features of the model represent reasonably well the actual behavior of several materials such as high strength steels. Previous attempts to describe the behavior of this kind of materials have been restricted to a class of boundary value problems in which the state of stress in the plastic region is completely controlled by the yield stress in tension or torsion. In particular, the yield stress is supposed to be constant during loading and the forward plastic strain reduces the yield stress to be used to describe reversed yielding. The new model generalizes this approach on plane stress problems assuming that the material obeys the von Mises yield criterion during loading. Then, the model is adopted to describe reversed yielding in thin hollow discs subject to external pressure.

불규칙하게 분포된 미소결함사이의 응력간섭 및 피로균열 거동에 대한 실험적 연구 (II) (결함간의 거리 및 하중변화를 중심으로) (An Experimental Study on the Fatigue Behavior and Stress Interaction of Arbitrarily Located Defects (II) (For Variable Loads and Distances between Defects))

  • 송삼홍;배준수;최병호
    • 한국정밀공학회지
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    • 제18권1호
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    • pp.201-212
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    • 2001
  • If defects are located far apart, fatigue cracks are independently initiated from them and gradually approach other cracks so that the fatigue life becomes influenced by the crack growth behavior of those interacting cracks. In this study, the effect of the stress interaction between defects on the fatigue crack propagation behavior is investigated experimentally and these results are verified by finite element method. In addition, fatigue crack propagation behaviors under micro hole interaction field are studied.

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멱함수 가공경화 모델을 이용한 복합실린더의 자긴가공해석 (Autofrettage Analysis of Compound Cylinder with Power Function Strain Hardening Model)

  • 박재현;이영신;심우성;김재훈;차기업;홍석균
    • 대한기계학회논문집A
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    • 제32권6호
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    • pp.488-495
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    • 2008
  • In order to achieve long fatigue lifetimes for cyclically pressurized thick cylinders, multi-layered compound cylinder has been proposed. Such compound cylinder involves a shrink-fit procedure incorporating a monobloc tube which has previously undergone autofrettage. The basic autofrettage theory assumes elastic-perfectly plastic behaviour. Because of the Bauschinger effect and strain-hardening, most materials do not display elastic-perfectly plastic properties and consequently various autofrettage mo dels are based on different simplified material strain-hardening models, which is assumed that combination of linear strain-hardenig and power strain-hardening model. This approach gives a more accurate prediction than the elastic-perfectly plastic model and is suitable for different strain-hardening materials. In this paper, a general autofrettage model that incorporates the material strain-hardening relationship and the Bauschinger effect, based upon the actual tensile-compressive stress-strain curve of a material was proposed. The model was obtained using the von Mises yield criterion and plane strain condition. The tensile-compressive stress-strain curve was obtained by experiment. The parameters needed in the model were determined by fitting the actual tensile-compressive curve of the material. Finally, strain- hardening model was compared with elastic-perfectly plastic model.