• 제목/요약/키워드: critical value function

검색결과 233건 처리시간 0.023초

유한요소법과 연성파괴이론에 의한 AZ31합금 판재의 온간 드로잉 공정에서의 파단예측 (Failure Prediction for an AZ31 Alloy Sheet during Warm Drawing using FEM Combined with Ductile Fracture Criteria)

  • 김상우;이영선
    • 소성∙가공
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    • 제21권4호
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    • pp.258-264
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    • 2012
  • The forming failure of AZ31 alloy sheet during deep drawing processes was predicted by the FEM and ductile fracture criteria. Uniaxial tensile tests of round-notched specimens and FE simulations were performed to calculate the critical damage values for three ductile fracture criteria. The critical damage values for each criterion were expressed as a function of strain rate at various temperatures. In order to determine the best criterion for failure prediction, Erichsen cupping test under isothermal conditions at $250^{\circ}C$ were conducted. Based on the plastic deformation histories obtained from the FE analysis of the Erichsen cupping tests and the critical damage value curves, the initiation time and location of fracture were predicted under bi-axial tension deformation. The results indicate that the Cockcroft-Latham criterion had good agreement with the experimental data. In addition, the FE analysis combined with the criterion was applied to another deep drawing process using an irregular shaped blank and these additional results were verified with experimental tests.

Monte Carlo Investigation of Spatially Adaptable Magnetic Behavior in Stretchable Uniaxial Ferromagnetic Monolayer Film

  • Laosiritaworn, Yongyut;Laosiritaworn, Wimalin
    • Journal of Magnetics
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    • 제20권1호
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    • pp.11-20
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    • 2015
  • In this work, Monte Carlo simulation was employed to model the stretchable Ising monolayer film to investigate the effect of the spatial distance variation among magnetic atoms on magnetic behavior of the film. The exchange interaction was considered as functions of initial interatomic distance and the stretched distance (or the strain). Following Bethe-Slater picture, the magnetic exchange interaction took the Lennard-Jones potential-like function. Monte Carlo simulations via the Wolff and Metropolis algorithms were used to update the spin systems, where equilibrium and dynamic magnetic profiles were collected. From the results, the strain was found to have strong influences on magnetic behavior, especially the critical behavior. Specifically, the phase transition point was found to either increase or decrease depending on how the exchange interaction shifts (i.e. towards or away from the maximum value). In addition, empirical functions which predict how the critical temperatures scale with initial interatomic distance and the strain were proposed, which provides qualitatively view how to fine tune the magnetic critical point in monolayer film using the substrate modification induced strain.

LIOUVILLE THEOREMS OF SLOW DIFFUSION DIFFERENTIAL INEQUALITIES WITH VARIABLE COEFFICIENTS IN CONE

  • Fang, Zhong Bo;Fu, Chao;Zhang, Linjie
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제15권1호
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    • pp.43-55
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    • 2011
  • We here investigate the Liouville type theorems of slow diffusion differential inequality and its coupled system with variable coefficients in cone. First, we give the definition of global weak solution, and then we establish the universal estimate (does not depend on the initial value) of solution by constructing test function. At last, we obtain the nonexistence of non-negative non-trivial global weak solution within the appropriate critical exponent. The main feature of this method is that we need not use comparison theorem or the maximum principle.

열충격 응력세기계수와 파괴실험 (Thermal Shock Stress Intensity Factor and Fracture Test)

  • 이강용;심관보
    • 대한기계학회논문집
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    • 제14권1호
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    • pp.130-137
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    • 1990
  • 본 연구에서는 Bueckner의 가중함수법을 열충격 문제에 도입하여 열충격 응력 세기계수를 구하고, 평면변형을 파괴인성치와 비교하여 재료가 열충격을 받은 후 파괴 되는 시간을 이론적으로 계산한다. 또한 음향 방출법을 이용하여 파괴시간을 측정하 고 이론치와 비교한다.

Design of bivariate step-stress partially accelerated degradation test plan using copula and gamma process

  • Srivastava, P.W.;Manisha, Manisha;Agarwal, M.L.
    • International Journal of Reliability and Applications
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    • 제17권1호
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    • pp.21-49
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    • 2016
  • Many mechanical, electrical and electronic products have more than one performance characteristics (PCs). For example the performance degradation of rubidium discharge lamps can be characterized by the rubidium consumption or the decreasing intensity the lamp. The product may degrade due to all the PCs which may be independent or dependent. This paper deals with the design of optimal bivariate step-stress partially accelerated degradation test (PADT) with degradation paths modelled by gamma process. The dependency between PCs has been modelled through Frank copula function. In partial step-stress loading, the unit is tested at usual stress for some time, and then the stress is accelerated. This helps in preventing over-stressing of the test specimens. Failure occurs when the performance characteristic crosses the critical value the first time. Under the constraint of total experimental cost, the optimal test duration and the optimal number of inspections at each intermediate stress level are obtained using variance optimality criterion.

과도에너지 함수를 이용하여 연계계통의 총송전용량 평가를 위한 최적화기법 응용 (Optimization Application for Assessment of Total Transfer Capability Using Transient Energy Function in Interconnection Systems)

  • 김규호;김수남;이상봉;이상근;송경빈
    • 전기학회논문지
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    • 제58권12호
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    • pp.2311-2315
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    • 2009
  • This paper presents a method to apply energy margin for assesment of total transfer capability (TTC). In order to calculate energy margin, two values of the transient energy function have to be computed. The first value is transient energy that is the sum of kinetic and potential energy at the end of fault. The second is critical energy that is potential energy at controlling UEP(Unstable Equilibrium Point). It is seen that TTC level is determined by not only bus voltage magnitudes and line thermal limits but also transient stability. TTC assessment is compared by the repeated power flow(RPF) method and optimization method.

증기발생기 파울링과 전기출력의 상관성 고찰 (A Study on the Relationship between Steam Generator Fouling and the Electric Power)

  • 조남철;신동만;김용식
    • 한국압력기기공학회 논문집
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    • 제13권2호
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    • pp.31-37
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    • 2017
  • The heat transfer function or thermal performance is the most important function of the steam generator component in nuclear power plants. The declining of thermal performance, fouling does not affect the electric power of the nuclear power plant within a certain fouling level, but it affects the output when goes beyond the governor valve wide open of the turbine. The VWO steam pressure can be predicted through the thermal performance evaluation of steam generators in the nuclear power plant. In consideration of the fouling characteristics of the steam generator, methods of the thermal performance evaluation and fouling cases are reviewed, and also the critical VWO value is estimated through the actual thermal performance evaluation. It is necessary to apply the VWO theory based on the thermal performance of the steam generators.

다단계 재고시스템에서의 서비스수준에 관한 연구 (Service level in multiechelon Inventory systems)

  • 어윤양
    • 수산경영론집
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    • 제30권2호
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    • pp.25-37
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    • 1999
  • Some multi echelon inventory systems carry perishable products. The value of these product reduces as the period of time they spend in the system. In this paper We derive the necessary condition to determine optimal quantity, service level for a perishable product. The systems considered consist of two echelons and carry single item. To determine the optimal order quantity, the demand is assumed to be constant, the holding costs may be different in the echelons, and it allows no shortages. I assumed the price of product decreases by negative exponential function. To determine service level, following assumptions used in the model ㆍlead time is constant. ㆍdemand is normal distribution. ㆍthe product starts to perish at the second echelon. Service level is computed for different levels of lead times and for different variance of demands and for different price functions. The experimental results indicate that the service level in cost is a function of service level in demand and perishability of product. Results of the models exhibit that perishability and the age of the product are critical to determine the lot sizing and service level.

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다구찌 방법을 이용한 보링바의 동강성 변동에 관한 연구 (Study on the dynamic stiffness variation of boring bar by Taguchi Method)

  • 천세호;고태조
    • 한국기계가공학회지
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    • 제8권3호
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    • pp.98-104
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    • 2009
  • The objective of this paper is to investigate the effect of factors on the dynamic stiffness variation of boring bar. The experiment was carried out by Taguchi Method and Orthogonal array table. The results indicate that overhang was found out to be dominant factor with 95% confident intervals and feed rate and depth of cut were insignificant. In addition, analysis of loss function shows that loss value increased sharply from 3D to 4D(D is a shank diameter). Consequently, there is critical point which changes property of dynamic stiffness.

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우리나라 고등학교 수학 교과서에서 함수의 증감과 극대.극소를 설명하는 방식에 대한 비판적 논의 (A Critical Analysis on an explanation for Monotonicity and Local Extrema of functions in Korean Mathematics Textbooks)

  • 계승혁;하길찬
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권2호
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    • pp.247-257
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    • 2010
  • In this article an explanation of monotonicity of functions and the definition of local extrema in Korean highschool textbooks based on national curriculum(revised in 2007) are analyzed critically. On the basis of this analysis, we indicate some problems and propose its improvements.