• 제목/요약/키워드: asymmetric yield function

검색결과 6건 처리시간 0.019초

J2 와 J3 불변량에 기초한 비대칭 항복함수의 제안(II) (Asymmetric Yield Functions Based on the Stress Invariants J2 and J3(II))

  • 김영석;눙엔푸반;안정배;김진재
    • 소성∙가공
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    • 제31권6호
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    • pp.351-364
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a modified version of previous anisotropic yield function (Trans. Mater. Process., 31(4) 2022, pp. 214-228) based on J2 and J3 stress invariants. The proposed anisotropic yield model has the 6th-order of stress components. The modified version of the anisotropic yield function in this study is as follows. f(J20,J30) ≡ (J20)3 + α(J30)2 + β(J20)3/2 × (J30) = k6 The proposed anisotropic yield function well explains the anisotropic plastic behavior of various sheets such as aluminum, high strength steel, magnesium alloy sheets etc. by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to AA6016-T4 aluminum and DP980 sheets shows symmetrical yielding behavior and to AZ31B magnesium shows asymmetric yielding behavior, it was shown that the yield locus and yielding behavior of various types of sheet materials can be predicted reasonably by using the proposed anisotropic yield function.

J2 와 J3 불변량에 기초한 항복함수의 제안과 이방성 판재에의 적용 (Yield Functions Based on the Stress Invariants J2 and J3 and its Application to Anisotropic Sheet Materials)

  • 김영석;눙엔푸반;김진재
    • 소성∙가공
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    • 제31권4호
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    • pp.214-228
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a novel anisotropic yield function useful for describing the plastic behavior of various anisotropic sheets. The proposed yield function includes the anisotropic version of the second stress invariant J2 and the third stress invariant J3. The anisotropic yield function newly proposed in this study is as follows. F(J2)+ αG(J3)+ βH (J2 × J3) = km The proposed yield function well explains the anisotropic plastic behavior of various sheets by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to aluminum sheet shows symmetrical yielding behavior and to pure titanium sheet shows asymmetric yielding behavior, it was shown that the yield curve and yield behavior of various types of sheet materials can be predicted reasonably by using the proposed new yield anisotropic function.

Numerical Implementation of Modified Coulomb-Mohr Yield Criterion for Anisotropic and Asymmetric Materials

  • Lee Myoung-Gyu;Kim Ji-Hoon;Ryou Han-Sun;Chung Kwan-Soo;Youn Jae-Ryoun;Kang Tae-Jin
    • Fibers and Polymers
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    • 제7권3호
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    • pp.276-285
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    • 2006
  • Development and numerical implementation for an elastoplastic constitutive model for anisotropic and asymmetric materials are presented in this paper. The Coulomb-Mohr yield criterion was modified to consider both the anisotropic and asymmetric properties. The modified yield criterion is an isotropic function of the principal values of a symmetric matrix which is linearly transformed from the Cauchy stress space. In addition to the constitutive equation, the numerical treatment for the singularity in the vertex region of yield surface and stress integration algorithm based on elastoplasticity were presented. In order to assess the accuracy of numerical algorithm, isoerror maps were considered. Also, extension of a strip with a circular hole was simulated and results compared with those obtained using the (smooth) Mises yield criterion to validate stress output for a complex stress state.

An advanced criterion based on non-AFR for anisotropic sheet metals

  • Moayyedian, Farzad;Kadkhodayan, Mehran
    • Structural Engineering and Mechanics
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    • 제57권6호
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    • pp.1015-1038
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    • 2016
  • In the current research an advanced criterion with non-associated flow rule (non-AFR) for depicting the behavior of anisotropic sheet metals is presented to consider the strength differential effects (SDEs) for these materials. Owing to the fact that Lou et al. (2013) yield function is dependent on structure of an anisotropic material (BCC, FCC and HCP), an advanced yield function with inspiring of Yoon et al. (2014) yield function is proposed which is dependent upon anisotropic structures. Furthermore, to compute Lankford coefficients, a new pressure sensitive plastic potential function which would be dependent to anisotropic structure is presented and coupled with the proposed yield function with employing a non-AFR in a novel criterion which is called here 'dvanced criterion'. Totally eighteen experimental data are required to calibrate the criterion contained of directional tensile and compressive yield stresses for the yield function and directional Lankford coefficients for the plastic potential function. To verify the criterion, three anisotropic sheet metals with different structures are taken as case studies such as Al 2008-T4 (a BCC material), Al 2090-T3 (a FCC material) and AZ31 (a HCP material).

국제유가의 변동성이 한국 거시경제에 미치는 영향 분석 : EGARCH 및 VECM 모형의 응용 (A Study on the Impact of Oil Price Volatility on Korean Macro Economic Activities : An EGARCH and VECM Approach)

  • 김상수
    • 유통과학연구
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    • 제11권10호
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    • pp.73-79
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    • 2013
  • Purpose - This study examines the impact of oil price volatility on economic activities in Korea. The new millennium has seen a deregulation in the crude oil market, which invited immense capital inflow into Korea. It has also raised oil price levels and volatility. Drawing on the recent theoretical literature that emphasizes the role of volatility, this paper attends to the asymmetric changes in economic growth in response to the oil price movement. This study further examines several key macroeconomic variables, such as interest rate, production, and inflation. We come to the conclusion that oil price volatility can, in some part, explain the structural changes. Research design, data, and methodology - We use two methodological frameworks in this study. First, in regards to the oil price uncertainty, we use an Exponential-GARCH (Exponential Generalized Autoregressive Conditional Heteroskedasticity: EGARCH) model estimate to elucidate the asymmetric effect of oil price shock on the conditional oil price volatility. Second, along with the estimation of the conditional volatility by the EGARCH model, we use the estimates in a VECM (Vector Error Correction Model). The study thus examines the dynamic impacts of oil price volatility on industrial production, price levels, and monetary policy responses. We also approximate the monetary policy function by the yield of monetary stabilization bond. The data collected for the study ranges from 1990: M1 to 2013: M7. In the VECM analysis section, the time span is split into two sub-periods; one from 1990 to 1999, and another from 2000 to 2013, due to the U.S. CFTC (Commodity Futures Trading Commission) deregulation on the crude oil futures that became effective in 2000. This paper intends to probe the relationship between oil price uncertainty and macroeconomic variables since the structural change in the oil market became effective. Results and Conclusions - The dynamic impulse response functions obtained from the VECM show a prolonged dampening effect of oil price volatility shock on the industrial production across all sub-periods. We also find that inflation measured by CPI rises by one standard deviation shock in response to oil price uncertainty, and lasts for the ensuing period. In addition, the impulse response functions allude that South Korea practices an expansionary monetary policy in response to oil price shocks, which stems from oil price uncertainty. Moreover, a comparison of the results of the dynamic impulse response functions from the two sub-periods suggests that the dynamic relationships have strengthened since 2000. Specifically, the results are most drastic in terms of industrial production; the impact of oil price volatility shocks has more than doubled from the year 2000 onwards. These results again indicate that the relationships between crude oil price uncertainty and Korean macroeconomic activities have been strengthened since the year2000, which resulted in a structural change in the crude oil market due to the deregulation of the crude oil futures.

한국(韓國) 제조업(製造業)의 기술적(技術的) 효율성(效率性) : 산업별(産業別) 기술적(技術的) 효율성(效率性)의 추정(推定) (Technical Inefficiency in Korea's Manufacturing Industries)

  • 유승민;이인찬
    • KDI Journal of Economic Policy
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    • 제12권2호
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    • pp.51-79
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    • 1990
  • 본(本) 논문(論文)은 기존의 경험적(經驗的) 산업조직론(産業組織論)에서 소홀히 취급한 기술적(技術的) 효율성(效率性)의 문제를 분석하기 위하여 광공업(鑛工業)센서스의 세세분류제조업별(細細分類制造業別) 사업체(事業體)를 대상으로 한국(韓國) 제조업(製造業)의 기술적(技術的) 효율성(效率性)에 관한 가장 미시적(微視的) 차원(次元)의 경험적(經驗的) 연구결과(硏究結果)를 제공한다. 기술적(技術的) 효율성(效率性)의 산업간(産業間), 국가간(國家間) 격차(隔差)를 성명하기 위해서는 우선 적절한 격차효율성지표(隔差效率性指標)의 선택이 매우 중요할 것이다. 이를 위하여 본(本) 연구(硏究)에서는 확률적(確率的) 생산경계(生産境界)를 수정최소자승법(修正最小自乘法)으로 추정한 후 각 산업별(産業別)로 기술적(技術的) 효율성(效率性)의 네가지 상이한 척도(尺度)에 대한 추정을 시도한다. 추정(推定) 결과 효율성(效率性) 척도간(尺度間)의 상관관계(相關關係)는 부가가치액(附加價値額)보다 생산액(生産額)을 종속변수로 한 경우가 다소 높은 것으로 나타났으나 전자(前者)의 경우가 보다 많은 산업(産業)에 대하여 효율성(效率性)의 추정(推定)을 가능하게 하기 때문에 산업간(産業間) 비교(比較)를 위하여 더 적절하다고 판단된다. 상당수의 산업(産業)에 있어서는 만족할 만한 효율성(效率性) 추정치(推定値)를 구하는 것이 불가능했지만 후속연구(後續硏究)의 관점에서 볼 때 기술적(技術的) 효율성(效率性)의 추정(推定)이 가능한 산업(産業)이 다수를 차지한 사실은 고무적 이라고 판단된다. 또한 종업원규모(從業員規模)가 영세한 사업체(事業體)들이 상대적으로 비효율적(非效率的)임을 알 수 있었다.

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