• 제목/요약/키워드: von Mises yield criterion

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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.

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.

Stress analysis of rotating annular hyperbolic discs obeying a pressure-dependent yield criterion

  • Jeong, Woncheol;Chung, Kwansoo
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.689-705
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    • 2016
  • The Drucker-Prager yield criterion is combined with an equilibrium equation to provide the elastic-plastic stress distribution within rotating annular hyperbolic discs and the residual stress distribution when the angular speed becomes zero. It is verified that unloading is purely elastic for the range of parameters used in the present study. A numerical technique is only necessary to solve an ordinary differential equation. The primary objective of this paper is to examine the effect of the parameter that controls the deviation of the Drucker-Prager yield criterion from the von Mises yield criterion and the geometric parameter that controls the profile of hyperbolic discs on the stress distribution at loading and the residual stress distribution.

하악골의 부위별 충격시 발생되는 응력에 대한 유한 요소법적 연구 (STRESS ANALYSIS OF A HUMAN MANDIBLE UNDER VARIOUS LOADS USING FINITE ELEMENT METHOD)

  • 김성래;박태원
    • 치과방사선
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    • 제22권1호
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    • pp.7-22
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    • 1992
  • The stress distributions on a human mandible for 18 load cases under two different boundary conditions (mouth open and closed), using the three dimensional finite element modeling were studied. Also, the expected fracture loads for each load cases were calculated by using the Von-Mises yield criterion. The model of a mandible with all teeth was composed of 2402 hexahedron elements and 3698 nodes. CAD techniques were used to analyze the 3-dimensional results. The conclusions of this study were as follows: 1. In the mouth open state, the maximum stress occured at the condyle neck; when the lateral load was exerted, the maximum stress occured at the load side condyle. 2. In the mouth closed state, when the loads were exerted on the mandibular body and chin, the maximum stress occured at the loaded area, and when the loads were exerted on the angle and ramus, the maximum stress occured at the condyle neck. 3. The expected fracture loads in each load case were calculated using the Von-Mises yield criterion, and it was confirmed that the mandible in the mouth open state was more easily fractured than that in the mouth closed state, and the expected fracture loads are lesser in the cases that load direction is parallel at mandibular plane than 45°. 4. The magnitudes of the expected fracture loads increased in the order of angle, ramus, body and chin in case of the mouth closed state, while chin, body, angle and ramus in case of the mouth open state. 5. The Von-Mises stress concentration regions analyzed by F.E.M. corresponded well with the results of clinical studies.

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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.

지반침하가 매설배관의 건전성에 미치는 영향 (Effect of Ground Subsidence on Reliability of Buried Pipelines)

  • 이억섭;김동혁
    • 한국정밀공학회지
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    • 제21권1호
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    • pp.173-180
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    • 2004
  • This paper presents the effect of varying boundary conditions such as ground subsidence, internal pressure and temperature variation for buried pipelines on failure prediction by using a failure probability model. The first order Taylor series expansion of the limit state function incorporating with von-Mises failure criteria is used in order to estimate the probability of failure mainly associated with three cases of ground subsidence. Using stresses on the buried pipelines, we estimate the probability of pipelines with von-Mises failure criterion. The effects of varying random variables such as pipe diameter, internal pressure, temperature, settlement width, load for unit length of pipelines, material yield stress and pipe thickness on the failure probability of the buried pipelines are systematically studied by using a failure probability model for the pipeline crossing ground subsidence regions which have different soil properties.

저작압, 직경, 길이 변화에 따른 임플란트 응력 분포 분석 (Analysis of Stress Contour Plot of Implant Depending on Masticatory Force, Length, and Diameter)

  • 남영준;윤승현
    • EDISON SW 활용 경진대회 논문집
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    • 제5회(2016년)
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    • pp.240-245
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    • 2016
  • In this paper, stress contour plots depending on length, load, and diameter of the implant are presented. Depending on the condition and amount of cortical bone, process of implanting can be difficult and stress becomes important. Therefore deciding the right length and diameter of implant is critical. When analyzing stress in the implant, Von-mises yield criterion is often used; however, due to hardship of acquiring the actual material property of surrounding bones, simplified model of a implant was adapted in finite element analysis program of EDISON. The result acquired from EDISON program was then compared with results of different research papers.

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이차원(二次元) 파전파(波傳波) 이론(理論)에 의한 충돌현상(衝突現狀) 해석(解析) (Two-Dimensional Wave Propagation Analysis of Impact Phenomena)

  • 이상호;안병기
    • 대한토목학회논문집
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    • 제14권2호
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    • pp.245-255
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    • 1994
  • 충돌현상을 재현할 수 있는 이차원 파전파 컴퓨터 프로그램을 개발하였다. 불연속인 충격전면에 연속성을 부여하기 위한 기법으로 Von Neumann과 Ritchmyer가 제안한 인공점성을 수치해석시 도입하였다. 본 연구에서는 충돌물체의 재료모델로서 Von-Mises 항복함수를 이용한 탄소성 모델을 사용하였다. 개발된 컴퓨터 프로그램을 검증하기 위하여 충격을 가하는 물체와 받는 물체로 구성된 충돌현상을 재현하였다. 본 연구에서 개발된 컴퓨터 프로그램은 이차원 평면요소를 사용하였기 때문에 재현된 충돌해석 결과를 3차원에서 발생하는 실제값과 정량적으로 비교할 수는 없었으나 충돌실험시 실제로 발생하는 파괴현상을 정성적으로 분석할 수 있었다.

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고준위폐기물 처분장치 및 완충장치에 대한 탄소성해석 : 비대칭 암반력 (An Elastoplastic Analysis for Spent Nuclear Fuel Disposal Container and Its Bentonite Buffer: Asymmetric Rock Movement)

  • 권영주;최석호
    • 소성∙가공
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    • 제12권5호
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    • pp.479-486
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    • 2003
  • This paper presents an elastoplastic analysis for spent nuclear fuel disposal container and its 50 cm thick bentonite buffer to predict the collapse of the container while the horizontal asymmetric sudden rock movement of 10 cm is applied on the composite structure. This sudden rock movement is anticipated by the earthquake etc. at a deep underground. Elastoplastic material model is adopted. Drucker-Prager yield criterion is used for the material yield prediction of the bentonite buffer and von-Mises yield criterion is used for the material yield prediction of the container. Analysis results show that even though very large deformations occur beyond the yield point in the bentonite buffer, the container structure still endures elastic small strains and stresses below the yield strength. Hence, the asymmetric 50 cm thick bentonite buffer can protect the container safely against the 10 cm sudden rock movement by earthquake etc.. Analysis results also show that bending deformations occur in the container structure due to the shear deformation of the bentonite buffer. The finite element analysis code, NISA, is used for the analysis.

플렉셔를 적용한 추력 시험대 설계 (Design of a Thrust Stand Using Flexure)

  • 진준엽;박용석;이창욱;정상섭;이주형;백철우
    • 한국항공우주학회지
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    • 제49권3호
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    • pp.205-212
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    • 2021
  • 본 연구에서는 플렉셔를 적용한 추력 시험대 설계를 위해 두 가지 유형에 따른 추력 시험대 모델링을 제시하였다. Type A의 모델은 접선 하중(추력)과 지면에 대한 축 방향 하중(자중)이 압축하중으로 발생되고, Type B의 모델은 축 방향 하중이 인장하중으로 발생되도록 설계를 하였다. 두 가지 유형에 대해 하중에 따른 영향성을 확인하였고, 1D 계산 결과와 전산해석 결과에 대해 비교를 수행하였다. 거리 비(x/L)에 대해 총 10구간을 1D 계산 값과 전산해석 값을 비교하였고 그 결과는 매우 유사한 것을 확인할 수 있었다. 해석 결과에 대한 타당성을 입증하기 위해 플렉셔에 대한 전산해석으로부터 등가응력(Equivalent Stress)을 확인하였고, 항복조건(Von-Mises Yield Criterion) 평가로부터 Type B 모델의 제작을 선정하였다.