• Title/Summary/Keyword: Yield function

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변형률속도에 따른 고강도 강판의 이방성 변화에 관한 연구 (Effect of Strain Rate on the Anisotropic Deformation Behavior of Advanced High Strength Steel Sheets)

  • 허지향;허훈;이창수
    • 소성∙가공
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    • 제20권8호
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    • pp.595-600
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    • 2011
  • This paper investigates the effect of strain rate on the anisotropic deformation behavior of advanced high strength steel sheets. Uniaxial tensile tests were carried out on TRIP590 and DP780 steel sheets at strain rates ranging from 0.001/sec to 100/sec to determine yield stresses and r-values at various loading angles from the reference rolling direction. R-values were determined by the digital image correlation technique. Hill48 and Yld2000-2d yield functions were tested for their capability to describe the plastic deformation anisotropy of the materials. Initial yield loci were constructed using the Yld2000-2d yield function, which adequately described the anisotropic behavior of the materials. The shape of the initial yield loci was found to change with different strain rate, and the anisotropic behavior decreased with increasing strain rate.

비선형 전왜재료 내부의 균열에 대한 응력 확대계수 (Stress Intensity Factors for a Crack in a Nonlinear Electrostrictive Material)

  • 범현규;정은도
    • 한국정밀공학회지
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    • 제18권2호
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    • pp.186-191
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    • 2001
  • A crack with electrically impermeable surfaces in an electrostrictive material subjected to uniform electric loading is analysed. The effect of electric yielding on stress intensity factor is investigated by using a small scale yielding model and a strip yield zone model. Complete forms of electric fields and elastic fields are derived by using complex function theory. The electrical yield zone shapes for two models are different each other. The two models, however, predict similar yield zone sizes under the small scale yielding conditions. It is found that the influence of electric yielding on the stress intensity factor is insensitive to the modeling of the electrical yield zone shape.

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강수량 및 인구인자를 반영한 수원함양서비스의 공간분포 평가 (Evaluation of the Spatial Distribution of Water Yield Service based on Precipitation and Population)

  • 조흔우;송철호;전성우;김준순;이우균
    • 한국지리정보학회지
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    • 제19권3호
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    • pp.1-15
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    • 2016
  • 최근, 새천년생태계평가(MA: Millenium Ecosystem Assessment), 생태계와 생물다양성의 경제학(TEEB: The Economics of Ecosystems and Biodiversity) 등의 체계에 따라 생태계서비스를 평가하는 연구가 활발히 이루어지고 있다. 그러나 기존 대부분의 연구에서는 생태계기능 평가량에 화폐적 가치를 곱하여 생태계서비스를 평가하고 있어 생태계서비스와 관련된 환경 및 사회경제적 조건을 반영하지 못하고 있다. 본 연구에서는 자연 및 사회경제적 요소를 반영한 생태계서비스 평가방안을 제시하고자 하였다. 우선, 수원함양기능을 InVEST의 Water Yield 모형을 통해 평가하였고 수원함양기능에 강수량과 인구를 반영하여 수원함양의 생태계서비스를 평가하였다. 평가결과, 토지피복, 토양 등의 자연조건을 반영한 수원함양기능과 강수량 및 인구 등의 기후 및 사회경제적 인자를 추가적으로 고려한 생태계서비스의 공간분포는 서로 다른 양상을 보였다. 즉, 같은 수원함양기능을 보인 지역이라도 강수량이 적고 인구가 많은 지역에서 수원함양의 생태계서비스가 높은 것으로 나타났다. 본 연구를 통해 수원함양의 생태계서비스는 수원함양기능에 추가적으로 기상 및 사회경제적 인자를 고려하여 평가되어야 한다는 것을 제시하였으며, 평가과정은 다른 분야의 생태계서비스평가에 유용하게 활용될 것으로 기대된다.

미시역학 소성모델을 이용한 충격하중을 받는 보강판의 파단 예측 (Fracture Estimation of Stiffened Plates under Impact Loading using Micromechanics Plasticity Model)

  • 정준모;조상래;김경수
    • 대한조선학회논문집
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    • 제46권6호
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    • pp.611-621
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    • 2009
  • This paper first reviews the physical meanings and the expressions of two representative strain rate models: CSM (Cowper-Symonds Model) and JCM (Johnson-Cook Model). Since it is known that the CSM and the JCM are suitable for low-intermediate and intermediate-high rate ranges, many studies regarding marine accidents such as ship collision/grounding and explosion in FPSO have employed the CSM. A formula to predict the material constant of the CSM is introduced from literature survey. Numerical simulations with two different material constitutive equations, classical metal plasticity model based on von Mises yield function and micromechanical porous plasticity model based on Gurson yield function, have been carried out for the stiffened plates under impact loading. Simulation results coincide with experimental results better when using the porous plasticity model.

A novel method for solving structural problems: Elastoplastic analysis of a pressurized thick heterogeneous sphere

  • Abbas Heydari
    • Advances in Computational Design
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    • 제9권1호
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    • pp.39-52
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    • 2024
  • If the governing differential equation arising from engineering problems is treated as an analytic, continuous and derivable function, it can be expanded by one point as a series of finite numbers. For the function to be zero for each value of its domain, the coefficients of each term of the same power must be zero. This results in a recursive relationship which, after applying the natural conditions or the boundary conditions, makes it possible to obtain the values of the derivatives of the function with acceptable accuracy. The elastoplastic analysis of an inhomogeneous thick sphere of metallic materials with linear variation of the modulus of elasticity, yield stress and Poisson's ratio as a function of radius subjected to internal pressure is presented. The Beltrami-Michell equation is established by combining equilibrium, compatibility and constitutive equations. Assuming axisymmetric conditions, the spherical coordinate parameters can be used as principal stress axes. Since there is no analytical solution, the natural boundary conditions are applied and the governing equations are solved using a proposed new method. The maximum effective stress of the von Mises yield criterion occurs at the inner surface; therefore, the negative sign of the linear yield stress gradation parameter should be considered to calculate the optimal yield pressure. The numerical examples are performed and the plots of the numerical results are presented. The validation of the numerical results is observed by modeling the elastoplastic heterogeneous thick sphere as a pressurized multilayer composite reservoir in Abaqus software. The subroutine USDFLD was additionally written to model the continuous gradation of the material.

ALTERATION MODELS TO PREDICT LACTATION CURVES FOR DAIRY COWS

  • Sudarwati, H.;Djoharjani, T.;Ibrahim, M.N.M.
    • Asian-Australasian Journal of Animal Sciences
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    • 제8권4호
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    • pp.365-368
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    • 1995
  • Lactation curves of dairy cows were generated using three models, namely; incomplete gamma function (model 1), polynomial inverse function (model 2) and non-linear regression (model 3). Secondary milk yield data of 27 cows which had completed 6 lactations were used in this study. Milk yield records (once a week) throughout the lactation and from the first three months of lactation were fitted to the models. Estimation of total milk yield by model 3 using the data once a week throughout the lactation resulted in smaller % bias and standard error than those generated from model 1 and 2. But, model 2 was more accurate in predicting the 305-day milk yield equivalent closer to actual yields with smaller bias % and error using partial records up to 3 months. Also, model 2 was able to estimate the time to reach peak yield close to the actual data using partial records and model 2 could be used as a tool to advise farmers on appropriate feeding and management practices to be adopted.

평면이방성 알루미늄 재료의 귀발생 예측에 있어서 항복함수와 초기 Back-Stress의 영향 (Influence of yield functions and initial back stress on the earing prediction of drawn cups for planar anisotropic aluminum alloys)

  • 윤정환;;정관수;양동열;장성기
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.58-61
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    • 1998
  • Anisotropy is closely related to the formability of sheet metal and should be considered carefully for more realistic analysis of actual sheet metal forming operations. In order to better describe anisotropic plastic properties of aluminum alloy sheets, a planar anisotropic yield function which accounts for the anisotropy of uniaxial yield stresses and strain rate ratios simultaneously was proposed recently[1]. This yield function was used in the finite element simulations of cup drawing tests for an aluminum alloy 2008-T4. Isotropic hardening with a fixed initial back stress based on experimental tensile and compressive test results was assumed in the simulation. The computation results were in very good agreement with the experimental results. It was shown that the initial back stress as well as the yield surface shape have a large influence on the prediction of the cup height profile.

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Non-linear modelling to describe lactation curve in Gir crossbred cows

  • Bangar, Yogesh C.;Verma, Med Ram
    • Journal of Animal Science and Technology
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    • 제59권2호
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    • pp.3.1-3.7
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    • 2017
  • Background: The modelling of lactation curve provides guidelines in formulating farm managerial practices in dairy cows. The aim of the present study was to determine the suitable non-linear model which most accurately fitted to lactation curves of five lactations in 134 Gir crossbred cows reared in Research-CumDevelopment Project (RCDP) on Cattle farm, MPKV (Maharashtra). Four models viz. gamma-type function, quadratic model, mixed log function and Wilmink model were fitted to each lactation separately and then compared on the basis of goodness of fit measures viz. adjusted $R^2$, root mean square error (RMSE), Akaike's Informaion Criteria (AIC) and Bayesian Information Criteria (BIC). Results: In general, highest milk yield was observed in fourth lactation whereas it was lowest in first lactation. Among the models investigated, mixed log function and gamma-type function provided best fit of the lactation curve of first and remaining lactations, respectively. Quadratic model gave least fit to lactation curve in almost all lactations. Peak yield was observed as highest and lowest in fourth and first lactation, respectively. Further, first lactation showed highest persistency but relatively higher time to achieve peak yield than other lactations. Conclusion: Lactation curve modelling using gamma-type function may be helpful to setting the management strategies at farm level, however, modelling must be optimized regularly before implementing them to enhance productivity in Gir crossbred cows.

보이드 재료에 대한 새로운 항복함수의 제안 (A New Yield Function for Voided Materials)

  • 김성태
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 춘계학술대회논문집
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    • pp.13-16
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    • 2000
  • In this paper the authors proposed a new anisotropic yield criterion for porous ductile materials. By using the proposed yield criterion and its flow rules a damage evolution of anisotropic sheet under biaxial tensile loading is investigated. A comparison of yield locus and damage evolution between the proposed yield criterion and experiments are carried out. the results are in good agreement.

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알루미늄판재 성형성 예측을 위한 평면이방성 해석기술개발 (Development of stamping analysis process for formability prediction of aluminum alloy sheets)

  • 김윤근;정완진;김성태;문명수;윤정환
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2006년도 춘계학술대회 논문집
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    • pp.304-307
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    • 2006
  • A plane stress yield function YLD2000(Yoon et al., 2000) is applied to the finite element analysis S/W Z-Stamp because it is required to conduct proper consideration of aluminum alloy which has anomalous behavior. In the previous study, verification of the yield function and developed S/W is implemented. In this paper, two real parts of automobile body are additionally considered to verify the validity of Z-Stamp. The one is the benchmark problem #2 of Numisheet 2005 and the other is a small member part. In case of benchmark problem, formability simulation result and try-out result are compared with each other. In case of the small member part, formability analysis is implemented to predict the problem during the developing time.

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