• Title/Summary/Keyword: Yield Function

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Springback Prediction of Friction Stir Welded DP590 Steel Sheet Considering Permanent Softening Behavior (영구연화거동을 고려한 마찰교반용접(FSW)된 DP590 강판의 탄성복원 예측)

  • Kim, J.;Lee, W.;Chung, K.H.;Park, T.;Kim, D.G.;Kim, Chong-Min;Kim, D.
    • Transactions of Materials Processing
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    • v.18 no.4
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    • pp.329-335
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    • 2009
  • In order to better predict the springback for friction stir welded DP590 steel sheet, the combined isotropic-kinematic hardening was formulated with considering the permanent softening behavior during reverse loading. As for yield function, the non-quadratic anisotropic yield function, Yld2000-2d, was used under plane stress condition. For the verification purposes, comparisons of simulation and experiments were performed here for the unconstrained cylindrical bending, the 2-D draw bending tests. For two applications, simulations showed good agreements with experiments.

Fixed-point Iteration for the Plastic Deformation Analysis of Anisotropic Materials (이방성 재료의 소성변형 해석을 위한 고정점 축차)

  • Seung-Yong Yang;Jeoung Han Kim
    • Journal of Powder Materials
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    • v.30 no.1
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    • pp.29-34
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    • 2023
  • A fixed-point iteration is proposed to integrate the stress and state variables in the incremental analysis of plastic deformation. The Conventional Newton-Raphson method requires a second-order derivative of the yield function to generate a complicated code, and the convergence cannot be guaranteed beforehand. The proposed fixed-point iteration does not require a second-order derivative of the yield function, and convergence is ensured for a given strain increment. The fixed-point iteration is easier to implement, and the computational time is shortened compared with the Newton-Raphson method. The plane-stress condition is considered for the biaxial loading conditions to confirm the convergence of the fixed-point iteration. 3-dimensional tensile specimen is considered to compare the computational times in the ABAQUS/explicit finite element analysis.

Prediction of Anisotropy and Formability of Lithium-ion Battery Pouch Sheet using Non-quadratic Yield Function (비이차 비등방 항복함수를 이용한 리튬-이온 배터리 파우치의 이방성 및 성형성 예측)

  • J. S. Kim;C. M. Moon;H.R. Lee;M. G. Lee
    • Transactions of Materials Processing
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    • v.32 no.3
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    • pp.136-144
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    • 2023
  • This study analyzed the mechanical behavior of lithium-ion battery pouch material and predicted its formability. A homogenization method was used to evaluate the physical properties of the pouch, and a new hardening model was developed. The yield function for the plastic model was optimized, and the anisotropic property was determined. Also, the forming limits were measured and predicted using the M-K forming limit diagram. Finally, a square cup drawing experiment confirmed the accuracy of the measured mechanical properties and the formability calculation.

APPLICATION OF PRODUCT OF THE MULTIVARIABLE A-FUNCTION AND THE MULTIVARIABLE SRIVASTAVA'S POLYNOMIALS

  • Kumar, Dinesh;Ayant, Frederic;Choi, Junesang
    • East Asian mathematical journal
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    • v.34 no.3
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    • pp.295-303
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    • 2018
  • Gautam et al. [9] introduced the multivariable A-function, which is very general, reduces to yield a number of special functions, in particular, the multivariable H-function. Here, first, we aim to establish two very general integral formulas involving product of the general class of Srivastava multivariable polynomials and the multivariable A-function. Then, using those integrals, we find a solution of partial differential equations of heat conduction at zero temperature with radiation at the ends in medium without source of thermal energy. The results presented here, being very general, are also pointed out to yield a number of relatively simple results, one of which is demonstrated to be connected with a known solution of the above-mentioned equation.

Estimating the Biological Growth Function of Korean Anchovy: A Maximum Entropy Approach (한국 연근해 멸치자원량 추정 - Maximum Entropy기법의 응용 -)

  • Kim, Gi Cheol;Kwon, Oh Sang
    • Environmental and Resource Economics Review
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    • v.9 no.2
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    • pp.285-309
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    • 2000
  • One of the main issues in natural resource economics is estimating the amount of stock and the biological growth functions of renewable natural resources. Since the stock level is not directly observed the usual econometric approaches cannot be employed for this purpose. The maximum entropy approach has been suggested as a useful alternative to estimate the dynamic model of natural resource use. This study estimates the stock and the growth function of Korean anchovy using the data for yield and yield efforts. The results show that the current level of anchovy yield exceeds its maximum sustainable yield, which implies that the stock will decrease substantially over time.

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Analytical Study of the Effect of Material Properties on the Formability of Sheet Metals based on the M-K Model (M-K 모델 기반의 박판금속 성형성 평가에서 물성의 영향에 대한 해석적 연구)

  • Lou, Y.;Kim, S.B.;Huh, H.
    • Transactions of Materials Processing
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    • v.19 no.7
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    • pp.393-398
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    • 2010
  • This paper investigates the effect of material properties on the formability of sheet metals based on the Marciniak-Kuczynski model (M-K model). The hardening behavior of the material is modeled as the Hollomon model with the strain rate effect. The yield surfaces are constructed with Hosford79 yield function. The material properties considered in this study include the R-value, the strain hardening exponent, the strain rate hardening exponent, and the crystal structure of the material. The effect of the crystal structure on formability is roughly expressed as the change of the yield surface by varying the value of the exponent in Hosford79 yield function. Results show that the R-value affects neither the magnitude nor the shape of right hand side of forming limit diagrams (FLDs). Higher strain hardening exponent and higher strain rate hardening exponent improve the formability of sheet metals because they stabilize the forming processes.

Analysis of Yield Model Using Defect Density Function of DOU(Defects of One Unit) (DOU 결점 밀도분포를 이용한 수율 모형 분석)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2010.11a
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    • pp.551-557
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    • 2010
  • The research proposes the hypergeometric, binomial and Poisson yield models for defective and defect. The paper also presents the hypothesis test, confidence interval and control charts for DPU(Defect Per Unit) and DPO(Defect Per Opportunity). Especially the study considers the analysis of compound Poisson yield models using various DOU density distributions.

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Evaluation of Stress Intensity Factors for an Electrostrictive Crack with an Electric Yielding Zone (전기적 항복영역을 갖는 전왜균열에 대한 응력강도계수 계산)

  • 범현규;정은도
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.469-472
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    • 2000
  • a crack with electrically impermeable surfaces in an electrostrictive material subjected to uniform electric loading is analysed. A strip yield zone model is employed to investigate the effect of electric yielding on stress intensity factor. complete forms of electric fields and elastic fields for the crack are derived by using complex function theory. /the stress intensity factors are obtained based on the strip yield zone model.

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Effect of Pre-shearing and Temperature on the Yield Stress of Stirred Yogurt

  • Yoon, Won Byong
    • Food Engineering Progress
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    • v.13 no.1
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    • pp.70-73
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    • 2009
  • The yield stress of stirred yogurt was measured by the vane viscometer at different pre-shearing conditions, such as pre-shear speed, pre-shear time, and wait time, and temperature (12-38${^{\circ}C}$). The yield stress ranged from ~17.6 to 10 Pa and from 34.2 to 11.9 Pa, depending on the pre-shearing conditions and temperature, respectively. The preshear speed and the wait time significantly affected the yield stress. The temperature dependence of the yield stress was described by the Eyring's kinetic model. The linear function of the temperature on the yield stress was limited at the 22${^{\circ}C}$, and at the above 22${^{\circ}C}$, the yield stress was maintained to be a constant (~12.5 Pa).

Ductility and inelastic deformation demands of structures

  • Benazouz, Cheikh;Moussa, Leblouba;Ali, Zerzour
    • Structural Engineering and Mechanics
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    • v.42 no.5
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    • pp.631-644
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    • 2012
  • Current seismic codes require from the seismically designed structures to be capable to withstand inelastic deformation. Many studies dealt with the development of different inelastic spectra with the aim to simplify the evaluation of inelastic deformation and performance of structures. Recently, the concept of inelastic spectra has been adopted in the global scheme of the performance-based seismic design through capacity-spectrum methods. In this paper, the median of the ductility demand ratio for 80 ground motions are presented for different levels of normalized yield strength, defined as the yield strength coefficient divided by the peak ground acceleration (PGA). The influence of the post-to-preyield stiffness ratio on the ductility demand is investigated. For fixed levels of normalized yield strength, the median ductility versus period plots demonstrated that they are independent of the earthquake magnitude and epicentral distance. Determined by regression analysis of the data, two design equations have been developed; one for the ductility demand as function of period, post-to-preyield stiffness ratio, and normalized yield strength, and the other for the inelastic deformation as function of period and peak ground acceleration valid for periods longer than 0.6 seconds. The equations are useful in estimating the ductility and inelastic deformation demands for structures in the preliminary design. It was found that the post-to-preyield stiffness has a negligible effect on the ductility factor if the yield strength coefficient is greater than the PGA of the design ground motion normalized by gravity.