• 제목/요약/키워드: Creep Theory

검색결과 86건 처리시간 0.026초

K-R 손상이론에 의한 316LN 스테인리스강의 크리프 설계 (Creep Design of Type 316LN Stainless Steel by K-R Damage Theory)

  • 김우곤;김대환;류우석
    • 대한기계학회논문집A
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    • 제25권2호
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    • pp.296-303
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    • 2001
  • Kachanov-Rabotnov(K-R) creep damage theory was reviewed, and applied to design a creep curve for type 316LN stainless steel. Seven coefficients used in the theory, i.e., A, B, k, m, λ, r, and q were determined, and their physical meanings were analyzed clearly. In order to quantify a damage parameter ($\omega$), cavity amount was measured in the crept specimen taken from interrupted creep test with time variation, and then the amount was reflected into K-R damage equations. Coefficient λ, which is regarded as a creep tolerance feature of a material, increased with creep strain. Mater curve with λ=2.8 was well coincided with an experimental one to the full lifetime. The relationship between damage parameter and life fraction was matched with the theory at exponent ${\gamma}$=24 value. It is concluded that K-R damage equation was reliable as the modelling equation for type 316LN stainless steel. Coefficient data obtained from type 316LN stainless steel can be utilized for life prediction of operating material.

3D material model for nonlinear basic creep of concrete

  • Bockhold, Jorg
    • Computers and Concrete
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    • 제4권2호
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    • pp.101-117
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    • 2007
  • A new model predicting the nonlinear basic creep behaviour of concrete structures subjected to high multi-axial stresses is proposed. It combines a model based on the thermodynamic framework of the elasto-plastic continuum damage theory for time-independent material behaviour and a rheological model describing phenomenologically the long-term delayed deformation. Strength increase due to ageing is regarded. The general 3D solution for the creep theory is derived from a rate-type form of the uniaxial formulation by the assumption of associated creep flow and a theorem of energy equivalence. The model is able to reproduce linear primary creep as well as secondary and tertiary creep stages under high compressive stresses. For concrete in tension a simple viscoelastic formulation is applied. The material law is then incorporated into a finite element solution procedure for analysis of reinforced concrete structures. Numerical examples of uniaxial creep tests and concrete members show excellent agreement with experimental results.

Time-dependent creep analysis of a functionally graded beam with trapezoidal cross section using first-order shear deformation theory

  • Mirzaei, Manouchehr Mohammad Hosseini;Loghman, Abbas;Arefi, Mohammad
    • Steel and Composite Structures
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    • 제30권6호
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    • pp.567-576
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    • 2019
  • Time-dependent creep analysis of a rotating functionally graded cantilever beam with trapezoidal longitudinal cross section subjected to thermal and inertia loading is investigated using first-order shear deformation theory (FSDT). The model described in this paper is a simple simulation of a turbine blade working under creep condition. The material is a metal based composite reinforced by a ceramic where the creep properties of which has been described by the Sherby's constitutive model. All mechanical and thermal properties except Poisson's ratio are assumed to be variable longitudinally based on the volume fraction of constituent. The principle of virtual work as well as first order shear deformation theory is used to derive governing equations. Longitudinal distribution of displacements and stresses are investigated for various volume fractions of reinforcement. Method of successive elastic solution is employed to obtain history of stresses and creep deformations. It is found that stresses and displacements approach their steady state values after 40000 hours. The results presented in this paper can be used for selection of appropriate longitudinal distribution of reinforcement to achieve the desired stresses and displacements.

분무 주조 과공정 Al-Si계 합금의 응력이완 및 Creep 천이 거동 (Load Relaxation and Creep Transition Behavior of a Spray Cast Hypereutectic Al-Si Based Alloy)

  • 김민수;방원규;박우진;장영원
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 춘계학술대회 논문집
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    • pp.176-179
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    • 2005
  • Spray casting of hypereutectic Al-Si based alloy has been reported to provide distinct advantages over ingot metallurgy (IM) or rapid solidification/powder metallurgy (RS/PM) process in terms of microstructure refinement. Hypereutectic Al-Si based alloys have been regarded attractive for automotive and aerospace application, due to high specific strength, good wear resistance, low coefficient of thermal expansion, high thermal stability, and good creep resistance. In this study, hypereutectic Al-25Si-2.0Cu-1.0Mg alloy was prepared by OSPREY spray casting process. High temperature deformation behavior of the hypereutectic Al-Si based alloy has been investigated by applying the internal variable theory proposed by Chang et al. The change of strain rate sensitivity and Creep transition were analyzed by using the load relaxation test and constant creep test.

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점성토에 있어서의 크리프 거동 예측 (Prediction of Creep Behavior for Cohesive Soils)

  • 김대규
    • 한국지반공학회논문집
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    • 제20권7호
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    • pp.79-89
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    • 2004
  • 본 연구에서는 탄.소.점성 구성모델을 비교적 간단한 수학적 합성유도방식에 기초하여 제안하였다. 이를 위하여 비등방성 modified Cam-Clay model을 일반응력공간으로 확장시켰으며generalized viscous theory를 단순화하여 각각 소성 및 점성의 구성관계로 활용하였다. Damage 원리를 구성모델에 추가하였으며, 모든 식의 변형 및 개발은 모델정수의 수를 감소시키는 원칙에 입각하여 수행하였다. 개발된 구성모델을 활용하여 점성토의 크리프거동을 예측하였으며 이를 실험결과와 비교분석하였다. 예측된 결과는 크리프파괴의 경우를 포함한 실험결과와 비교적 양호하게 일치하는 결과를 보여주었다.

Creep damage and life assessment of thick cylindrical pressure vessels with variable thickness made of 304L austenitic stainless steel

  • Kashkoli, Mosayeb Davoudi;Tahan, Khosro Naderan;Nejad, Mohammad Zamani
    • Steel and Composite Structures
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    • 제32권6호
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    • pp.701-715
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    • 2019
  • Using first-order shear deformation theory (FSDT), a semi-analytical solution is employed to analyze creep damage and remaining life assessment of 304L austenitic stainless steel thick (304L ASS) cylindrical pressure vessels with variable thickness subjected to the temperature gradient and internal non-uniform pressure. Damages are obtained in thick cylinder using Robinson's linear life fraction damage rule, and time to rupture and remaining life assessment is determined by Larson-Miller Parameter (LMP). The thermo-elastic creep response of the material is described by Norton's law. The novelty of the present work is that it seeks to investigate creep damage and life assessment of the vessels with variable thickness made of 304L ASS using LMP based on first-order shear deformation theory. A numerical solution using finite element method (FEM) is also presented and good agreement is found. It is shown that temperature gradient and non-uniform pressure have significant influences on the creep damages and remaining life of the vessel.

다차원 압밀해석을 위한 한계상태이른의 적용 (Application of the Critical State Theory to Multi-Dimensional Consolidation Analysis)

  • 정진섭
    • 한국지반공학회지:지반
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    • 제3권4호
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    • pp.7-20
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    • 1987
  • 연약지반의 다차원 압밀해석을 유한요소법으로 해석하기 위하여 점토의 구성방정식으로서 신생퇴적 점토층에서 압밀시에 예상되는 creep와 같은 변형의 시간의존성거동을 표친하는 탄 점소성 구성방정식을 새로히 제안하기 위하여 한계상태 개념으로부터 개발된 수정 cam clay 모델을 보완하여 음력변형해석을 통하여 실측치와 비교한 것이다. 그 결과 대체적으로 실측치와 접근하고 있음을 알 수 있었다.

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압밀시험의 수치해석에 의한 MCC 모델과 SSC 모델 비교 (Comparison of MCC and SSC Models Based on Numerical Analysis of Consolidation Test)

  • 권병해;임성훈
    • 한국농공학회논문집
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    • 제66권2호
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    • pp.1-12
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    • 2024
  • In order to integrate two consolidation theories of Terzaghi's consolidation theory and Mesri's secondary compression theory and to identify a model suitable for analyzing stress-strain behavior over time, numerical analysis on consolidation tests were conducted using a modified cam-clay model and a soft soil creep model and the following conclusions were obtained. The results of numerical analysis applying the theory that a linear proportional relationship is established between the void ratio at logarithmic scale and the permeability coefficient at logarithmic scale is better agreement with the result of oedometer test than the results of applying constant hydraulic conductivity. The modified cam-clay model is a model that does not include secondary compression, but the slope of the normal consolidation line corresponding to the compression index of the standard consolidation test includes secondary compression, so the actual settlement curve over time is lower than the predicted value through numerical analysis. It always gets smaller. Other previous studies that applied Terzaghi's consolidation theory to consolidation test analysis showed the same results and were cross-confirmed. The soft soil creep model, which includes secondary compression in the theory, showed good agreement in all sections including secondary compression in the consolidation test results. It was judged appropriate to use a soft soil creep model when performing numerical analysis of soft clay ground.

Creep analysis of a rotating functionally graded simple blade: steady state analysis

  • Mirzaei, Manouchehr Mohammad Hosseini;Arefi, Mohammad;Loghman, Abbas
    • Steel and Composite Structures
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    • 제33권3호
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    • pp.463-472
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    • 2019
  • Initial thermo-elastic and steady state creep deformation of a rotating functionally graded simple blade is studied using first-order shear deformation theory. A variable thickness model for cantilever beam has been considered. The blade geometry and loading are defined as functions of length so that one can define his own blade profile and loading using any arbitrary function. The blade is subjected to a transverse distributed load, an inertia body force due to rotation and a distributed temperature field due to a thermal gradient between the tip and the root. All mechanical and thermal properties except Poisson's ratio are assumed to be longitudinally variable based on the volume fraction of reinforcement. The creep behaviour is modelled by Norton's law. Considering creep strains in stress strain relation, Prandtl-Reuss relations, Norton' law and effective stress relation differential equation in term of effective creep strain is established. This differential equation is solved numerically. By effective creep strain, steady state stresses and deflections are obtained. It is concluded that reinforcement particle size and form of distribution of reinforcement has significant effect on the steady state creep behavior of the blade.

유변학을 이용한 콘크리트 크리프 거동 예측 (A Rheological Approach on the Predicting of Concrete Creep)

  • 권기연;민경환;김율희;윤영수
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.697-700
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    • 2008
  • 본 논문은 유변학을 이용한 합리적인 크리프 예측 모델의 개발을 목표로 한다. 유변학은 응력에 의해 물질에 변형이 유발되었을 때, 변형과 응력 사이의 관계를 규명하는 학문으로 콘크리트와 같은 다공성의 점탄성 구조체의 변형 규명에 효과적이다. 본 논문에서 제안된 모델은 시간 의존성 여부와 발생 메커니즘에 따라 탄성거동, 장기크리프, 시간 의존적 단기크리프 그리고 시간 독립적 단기크리프로 나뉘며, 이와 같은 현상의 분류는 실제 실험값의 시간 경과에 따른 변형 양상을 근거로 한 것이다. 각 부분의 계수 추정 과정에서는 이론(미세프리스트레스 고체화 이론, Microprestress-solidification theory) 및 설계기준(CEB-FIP MC R99)을 최대한 활용하여 모델의 합리성의 높일 수 있도록 하였으며, 부득이하게 이론적 접근이 어려운 경우에는 제한적으로 수치적 접근을 시도하였다. 끝으로 수립된 모델을 실제 실험 데이터에 적용한 결과를 기존의 기준식 및 이론식의 적용 결과와 비교 평가 하였다.

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