• 제목/요약/키워드: strain hardening plasticity

검색결과 215건 처리시간 0.021초

원전 안전 1등급 기기의 유한요소 탄소성 시간이력 지진해석 결과에 미치는 가속도 가진 방법 내 기준선 조정의 영향에 대한 예비연구 (Preliminary Study on Effect of Baseline Correction in Acceleration Excitation Method on Finite Element Elastic-Plastic Time-History Seismic Analysis Results of Nuclear Safety Class I Components)

  • 김종성;박상혁
    • 한국압력기기공학회 논문집
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    • 제14권2호
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    • pp.69-76
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    • 2018
  • The paper presents preliminary investigation results for the effect of the baseline correction in the acceleration excitation method on finite element seismic analysis results (such as accumulated equivalent plastic strain, equivalent plastic strain considering cyclic plasticity, von Mises effective stress, etc) of nuclear safety Class I components. For investigation, finite element elastic-plastic time-history seismic analysis is performed for a surge line including a pressurizer lower head, a pressurizer surge nozzle, a surge piping, and a hot leg surge nozzle using the Chaboche hardening model. Analysis is performed for various seismic loading methods such as acceleration excitation methods with and without the baseline correction, and a displacement excitation method. Comparing finite element analysis results, the effect of the baseline correction is investigated. As a result of the investigation, it is identified that finite element analysis results using the three methods do not show significant difference.

크리프와 건조수축을 고려한 RC쉘 구조물의 비선형 해석 (Nonlinear Analysis of RC Shell Structures Including Creep and Shrinkage Effects)

  • 정진환;한충목;조현영
    • 콘크리트학회지
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    • 제5권2호
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    • pp.181-188
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    • 1993
  • 본 논문에서는 철근콘크리트 쉘 구조물의 크리프와 건조수축에 의한 시간의존성 효과를 포함하여 해석할 수 있는 기법을 개발하였다. Degenerate 쉘 요소를 해석에 사용하였으며 층 분할 기법을 이용하였다. 콘크리트의 압축 거동 모델은 탄-소성 모델 혹은 변형율 경화 모델을 사용할 수 있도록 하였고, 인장 영역에서는 균열 발생시 까지 선형 탄성으로 가정하였다. 철근은 등가의 두께를 가지는 철근 층으로 근사되었으며 각 철근 층은 철근의 배치 방향으로만 저항하는 일축거동을 하며 응력-변형율 곡선을 두 개의 직선으로 이상화 하였다. 비선형 해석을 위해 하중 증분 기법과 반복계산 기법을 사용하였으며 시간 의존성 효과를 고려하기 위해 시간영역을 같은 간격이 아닐 수도 있는 여러 개의 구간으로 나누어 해석하였다. 몇 개의 계산 예를 제시하고 다른 연구자들의 결과와 비교하여 본 연구의 타당성을 검토하였다.

초기균열을 가진 판의 최종파괴 강도해석 (Ultimate Fracture Strength Analysis of Initially Cracked Plate)

  • 백점기;서흥원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1991년도 가을 학술발표회 논문집
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    • pp.133-138
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    • 1991
  • The aim of the present paper is to develop a computer program predicting ultimate fracture strength of initially cracked structure under monotonically increasing external loads. For this purpose, two kinds of 3-D isoparametric solid elements, one 6-node wedge element and another 8-node brick element are formulated along the small deformation theory. Plasticity in the element is checked using von Mises' yield criterion. Elasto-plastic stiffness matrix of the element is calculated taking account of strain hardening effect. If the principal strain at crack tip which is one nodal point exceeds the critical strain dependin on the material property, crack tip is supposed to be opened and the crack tip node which was previously constrained in the direction perpendicular to the crack line is released. After that, the crack lay be propagated to the adjacent node. Once a crack tip node is fractured, the energy of the newly fractured node should be released which is to be absorbed by the remaining part. The accumulated reaction force which was carried by the newly fractured node so far is then applied in the opposite direction. During the action of crack tip relief force, since unloading may be occured in the plastic element, unloading check should be made. If a plastic element unloads, elastic stress-strain equation is used in the calculation of the stiffness matrix of the element, while for a loading element, elasto-plastic stress-strain equation is continuously used. Verification of the computer program is made comparing with the experimental results for center cracked panel subjected to uniform tensile load. Also some factors affecting ultimate fracture strength of initially cracked plate are investigated. It is concluded that the computer program developed here gives an accurate solution and becomes useful tool for predicting ultimate fracture load of initially cracked structural system under monotonically increasing external loads.

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J-integral and fatigue life computations in the incremental plasticity analysis of large scale yielding by p-version of F.E.M.

  • Woo, Kwang S.;Hong, Chong H.;Basu, Prodyot K.
    • Structural Engineering and Mechanics
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    • 제17권1호
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    • pp.51-68
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    • 2004
  • Since the linear elastic fracture analysis has been proved to be insufficient in predicting the failure of strain hardening materials, a number of fracture concepts have been studied which remain applicable in the presence of plasticity near a crack tip. This work thereby presents a new finite element model to predict the elastic-plastic crack-tip field and fatigue life of center-cracked panels(CCP) with ductile fracture under large-scale yielding conditions. Also, this study has been carried out to investigate the path-dependence of J-integral within the plastic zone for elastic-perfectly plastic, bilinear elastic-plastic, and nonlinear elastic-plastic materials. Based on the incremental theory of plasticity, the p-version finite element is employed to account for the accurate values of J-integral, the most dominant fracture parameter, and the shape of plastic zone near a crack tip by using the J-integral method. To predict the fatigue life, the conventional Paris law has been modified by substituting the range of J-value denoted by ${\Delta}J$ for ${\Delta}K$. The experimental fatigue test is conducted with five CCP specimens to validate the accuracy of the proposed model. It is noted that the relationship between the crack length a and ${\Delta}K$ in LEFM analysis shows a strong linearity, on the other hand, the nonlinear relationship between a and ${\Delta}J$ is detected in EPFM analysis. Therefore, this trend will be depended especially in the case of large scale yielding. The numerical results by the proposed model are compared with the theoretical solutions in literatures, experimental results, and the numerical solutions by the conventional h-version of the finite element method.

고함량의 Mg을 함유한 Al-Mg 합금의 이축교번단조 변형에 따른 미세조직 및 인장특성 변화 (Microstructure Evolution and Tensile Properties of Al-Mg Alloy Containing a High Content of Mg by Biaxial Alternative Forging)

  • 신영철;하성호;윤영옥;김세광;최호준;현경환;현승균
    • 소성∙가공
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    • 제28권6호
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    • pp.361-367
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    • 2019
  • Microstructure evolution and tensile properties of Al-8mass%Mg alloy casting billet by biaxial alternative forging were investigated in this study. An alternative forging system tailored in this study was used to allow continuous strain accumulations on the alloy workpiece. A finite element (FE) simulation results revealed that the strain was mainly concentrated in the core and that the shear bands developed into a form with an X shape in the cross-section of workpiece after the alternative forging using octangular rod shaped dies. With increasing the forging passes, it was observed that the Al-8mass%Mg alloy workpieces were significantly deformed, and cracks began to form and propagate on the both ends of the forged workpieces after five passes at room temperature. In as-forged microstructures taken by microscopes, twins, clustering of dislocations, and fine subgrains were found. Tensile strengths of the forged specimens showed significant increases depending on the number of forging passes, and a trade-off relationship was observed between the elongation and strength. At room temperature and 100℃ the workpieces showed similar behaviors in microstructural evolution and tensile properties depending on forging passes, while the increase range in strength was reduced at 200℃.

슬립모델을 이용한 변형률의존 유한변형 탄소성재료의 구성방정식 개발 (A Rate-Dependent Elastic Plastic Constitutive Equation in Finite Deformation Based on a Slip Model)

  • 남용윤;김사수;이상갑
    • 대한조선학회논문집
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    • 제34권1호
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    • pp.77-86
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    • 1997
  • 최근들어 안전하고 합리적인 구조를 설계하기 위하여 구조물의 내충돌 또는 내충격에 대한 요구와 관심이 높아지고 있는데, 이러한 문제들은 아주 짧은 시간동안에 대변형이 일어나는 비선형문제라는 특징이 있다. 구조재료는 변형속도가 빨라짐에 따라 정적인 범주에서 보이는 거동과는 달리 변형률 의존적인 거동을 보인다. 따라서 대변형 소성문제인 충돌해석 등에는 종래 사용하여 온 변형률 비의존 재료구성방정식으로는 한계가 있다. 이 논문에서는 이러한 점을 개선하기 위하여 연강의 소성거동을 잘 나타낼 수 있는 소성슬립모델을 채용하고, 비선형경화를 도입하여 변형도 적용범위를 확장한 대변형 탄소성 변형률의존 재료구성방정식을 제시하였다. 본 구성방정식의 특징으로 항복조건과 하중조건이 필요없기 때문에 계산이 간편하며, 전위밀도와 속도로써 소성을 표현하기 때문에 보다 물리적인 의미를 가지고 금속재료의 소성현상을 나타낼 수 있다.

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Implicit 수치적분 방법을 이용한 조립토에 관한 구성방정식의 수행 (Implicit Numerical Integration of Two-surface Plasticity Model for Coarse-grained Soils)

  • 최창호
    • 한국지반공학회논문집
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    • 제22권9호
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    • pp.45-59
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    • 2006
  • 탄소성 구성방정식은 주로 미분방적식(rate equation)으로 이루어져 있기 때문에 유한요소법 등을 이용한 지반구조물 해석시 미분방정식들에 대한 수치적분을 수행할 수 있는 방법이 필요하다. 구조물의 거동을 해석할시 미분방정식들을 위한 적분방법은 해석결과의 정확성과 유한요소법 모델링의 안전성에 큰 영향을 미치고 있다. 본 논문에서는 최근에 개발되어 사용되고 있는 흙에 관한 구성모델인 "Two-surface soil plasticity model (Manzari and Dafalias 1997)"을 Implicit return-mapping 수치적분방법을 이용하여 실행하는 과정을 제시한다. 본 연구에서 사용된 수치적분방법은 Closest-Point-Projection Method(CPPM) 방법으로 탄성 예측자-소성 교정자(elastic predictor-plastic corrector) 개념을 Implicit Backward Euler방법으로 체계화 시킨 알고리듬이다. 본 연구에서 수행한 "Two-surface soil plasticity model"은 조립토의 비선형거동을 해석하며, Bounding surface 개념 및 비선형 등방경화와 이동경화법칙을 사용하는 모델이다. 본 연구는 CPPM 방법이 정확하고 안정되며 유용한 수치적분을 수행할 수 있는 알고리듬이라는 것을 제시한다. 또한, CPPM 알고리듬은 구성방정식의 해를 반복적으로 해석하는 동안 "Consistent tangent operator $d{\sigma}/d{\varepsilon}$"를 제공하므로, 비선형 유한요소 해석이 2차(quadratic convergence rate)의 수렴 조건을 만족하는데 기여한다는 것을 보여준다.

Mohr-Coulomb식(式)을 사용한 흙의 구성(構成)모델 (A Constitutive Model for Soil Using Mohr-Coulomb Criteria)

  • 이형수;이병대
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1405-1415
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    • 1994
  • 탄소성(彈塑性) 변형경화(變形硬化) 거동(擧動)을 하는 흙은 토질(土質)의 상태(狀態)와 시험조건(試驗條件)에 따라 다양(多樣)한 응력경로(應力經路)를 갖는다. 체적비(體積比) ${\upsilon}$인 흙을 주응력공간(主應力空間)에서 표시(表示)하면 불규칙육각형(不規則六角形)피라밋에 캡을 씌운 형상(形狀)이다. 캡은 ${\upsilon}$값이 변(變)하면 그 크기가 달라지나 형상(形狀)은 항상 닮은 꼴이며 소성체적변형(塑性體積變形)의 증감(增減)에 따라 이동(移動)이 결정된다. 이와 같은 토질특성(土質特性)을 반영하여 현재(現在)까지 많은 학자(學者)들이 캡모델을 연구발표(硏究發表)하였으며 본(本) 연구(硏究)에서는 비선형(非線形) 탄성변형(彈性變形) 경화(硬化) 소성(塑性) 캡과 Mohr-Coulomb의 파괴곡면(破壞曲面)을 접합(接合)한 흙의 구성(構成) 모델(M-C 캡모델)의 함수식(函數式)을 유도(誘導)하였다. 변형경화(變形硬化) 소성(塑性) 캡모델을 사용(使用)한 해석(解析)의 결과(結果)에 의하면 정규압밀(正規壓密) 상태(狀態)에서는 전단(剪斷)을 통한 경화(硬化)와 소성(塑性)흐름(캡의 이동(移動))의 형상(形狀)을 보여주고 있으나 과압밀상태(過壓密狀態)의 전단(剪斷)에서는 파괴포락선(破壞包絡線)에 도달할 때까지 탄성거동(彈性擧動)을 보이고 캡은 이동(移動)하지 않았다.

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누적압연접합 공정에 의해 제조된 초미세립 6061 Al 합금의 열적 안정성과 건식 미끄럼 마멸 거동 (Thermal Stability and Dry Sliding Wear Behavior of Ultra-Fine Grained 6061 Al Alloy Processed by the Accumulative Roll-Bonding Process)

  • 김용석
    • 소성∙가공
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    • 제14권1호
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    • pp.71-77
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    • 2005
  • Thermal stability and dry sliding wear behavior of ultra-fine grained 6061 Al alloy fabricated by an accumulative roll-bonding (ARB) process have been investigated. After 4 ARB cycles, an ultra-fine grained microstructure of the 6061 Al alloy composed of grains with average size of 500nm, and separated mostly by high-angle boundaries was obtained. Though hardness and tensile strength of the ARB processed Al alloy increased with ARB cycles up to 4 cycles, the processed alloy exhibited decreased ductility and little strain hardening. Thermal stability of the ARB-processed microstructure was studied by annealing of the severely deformed alloy at $423K{\sim}573K$. The refined microstructure of the alloy remained stable up to 473K, and the peak aging treatment of the alloy at 450K for 8 hrs increased the thermal stability of the alloy. Sliding-wear rates of the alloy increased with the number of ARB cycles in spite of the increased hardness with the cycles. Wear mechanisms of the ultra-fine grained alloy were investigated by examining worn surfaces, wear debris, and cross-sections by a scanning electron microscopy (SEM).

가열냉각방법에 의한 마그네슘합금의 판재성형성 개선 (Improvement on the Formability of Magnesium Alloy Sheet by Heating and Cooling Method)

  • 강대민
    • 소성∙가공
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    • 제14권7호
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    • pp.607-612
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    • 2005
  • In this paper, warm deep drawing process with local heating and cooling technique was attempted to improve the formability of AZ31 magnesium alloy which is impossibly to form by conventional methods at room temperature by finite element method and experiment. For FE analysis, in first model with considering heat transfer, both die and blankholder were heated to 573K while the punch was kept at room temperature by cooling water. Also distribution of thickness and von Mises stress at room temperature and 498k for warm deep drawing were compared by FEM. Uniaxial tension tests at elevated temperature were done in order to obtain the temperature dependence of material constant under temperature of $293K\~573K$ and cross head velocity of $5\~500mm/min$. The phenomenological model for warm deep drawing process in this work was based on the hardening law and power law strain rate dependency. Deep drawing experiment were conducted at temperatures of room temperature, 373K, 423K, 473K, 498K, 523K, and 573K for the blank and deep drawing tools(holder and die) and at a punch speed of 10mm/min.