• 제목/요약/키워드: Stress exponent

검색결과 217건 처리시간 0.025초

금속재료 응력-변형률 곡선의 수학적 표현들 (Mathematical Expressions for Stress-Strain Curve of Metallic Material)

  • 현홍철;이진행;이형일
    • 대한기계학회논문집A
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    • 제32권1호
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    • pp.21-28
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    • 2008
  • 본 연구에서는 인장과 압축실험 데이터를 사용하여 재료의 응력-변형률 곡선을 얻었다. 시편에 네킹 현상이 발생하기 전에는 인장실험의 결과를 토대로 각 재료의 영률값과 항복강도를 찾았다. 이후 비선형 거동은 압축실험의 데이터를 이용해 나타냈다. 이렇게 얻어진 재료의 실제응력-변형률 곡선을 구간 멱함수법을 사용해 변형률 구간별로 회귀하였다. 회귀하여 구한 곡선과 실제 재료의 응력-변형률 곡선을 비교해 최적 회귀방법과 상응하는 변형률 회귀구간을 찾았다. 하나와 두 변수에 의한 회귀를 혼용하면 가장 적절한 회귀 방법이 얻어진다. 우선 두 변수들로 회귀하여 항복강도를 찾는다. 뤼더변형률이 없는 재료의 항복강도를 예측에는 초기구간 데이터만을 이용해야 오차를 최소화 할 수 있다. 한편 뤼더변형률이 재료들은 곡선의 후반부 데이터를 사용해야 정확한 물성치를 찾아낼 수 있다. 이어 항복 강도가 구해진 상황에서 응력-변형률 곡선의 전체 데이터를 사용해, n을 단일변수로 하여 회귀한다. 여기서 얻은 항복강도와 n을 이용하면 실제 실험 응력-변형률 곡선을 가장 유사하게 따라가는 회귀곡선을 얻을 수 있다.

ZPCCY계 바리스터의 열화특성에 미치는 소결시간의 영향 (Effect of Sintering Time on Degradation Characteristics of ZPCCY-Based Varistors)

  • 남춘우;박종아
    • 한국세라믹학회지
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    • 제41권6호
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    • pp.464-470
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    • 2004
  • ZnO-P $r_{6}$ $O_{11}$-CoO-C $r_2$ $O_3$- $Y_2$ $O_3$계 세라믹스로 구성된 ZPCCY계 바리스터의 소결시간별 DC 가속열화 스트레스에 대한 전기적 안정성을 조사하였다. 소결시간은 전기적 특성 및 안정성에 크게 영향을 미치는 것으로 나타났다. 소결시간이 증가함에 따라 비직선 지수는 51.2∼23.8의 범위로 감소하였으며, 누설전류는 1.3∼5.6 $\mu$A의 범위로 증가하였다. 1시간 소결된 바리스터는 비직선성은 우수하나 밀도가 낮은 관계로 안정성이 상대적으로 낮았으며, 3시간 소결된 바리스터는 안정성은 양호하나 비직선성이 다소 낮은 것으로 나타났다 2시간 소결된 바리스터는 비직선 지수가 38.6, 누설전류가 3.6 $\mu$A로 양호 하고, DC스트레스_0.95 $V_{1㎃}$15$0^{\circ}C$/12h에서 바리스터 전압, 비직선 지수, 누설전류, 손실계수 변화율이 각각 -0.8%, -1.8%, +74.4%, +0.9%를 나타냄으로서 안정성이 우수한 것으로 나타났다.다.

직관 용접부의 크리프 특성 불균일에 따른 열영향부 정상상태 응력 예측 (Prediction of Steady-State Stresses within Heat Affected Zone Due to Creep Mismatch in Welded Straight Pipes)

  • 한재준;김상현;정진택;김윤재
    • 대한기계학회논문집A
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    • 제37권3호
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    • pp.405-412
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    • 2013
  • 본 논문은 크리프 파단 수명평가에 주요인자인 정상상태 크리프 응력을 직관 용접부에 대해 정량화한다. 모재와 용접부의 크리프 특성 불균일이 응력에 미치는 영향을 체계적으로 분석하기 위해, 다양한 용접부 불균일에 대해 이차원 유한요소 크리프 탄성해석을 수행하였다. 용접부는 열영향부를 고려하였으며 각각의 재료는 이상화된 탄성-멱 크리프 법칙을 따른다고 가정하였다. 하중에 따른 영향을 보기 위해 내압과 인장하중에 대해 연구를 수행하였다. 용접부 크리프 응력의 정량화를 위해 크리프 불균일 지수를 도입하였으며, 무차원화된 단면평균응력과 선형적인 관계를 확인하였다. 불균일 지수로 정량화한 응력과 Type IV 영역을 모사한 용접부의 유한요소해석 결과 및 영국전력의 R5 문헌값의 비교를 통해 연구결과의 유효성을 검증하였다.

$Y_{2}O_{3}$가 첨가된 $Pr_{6}O_{11}$계 ZnO 바리스터의 d.c. 스트레스에 따른 안정성 (Stability of $Pr_{6}O_{11}$-Based ZnO Varistors Doped with $Y_{2}O_{3}$ under d.c. Stresses)

  • 윤한수;류정선;남춘우
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 추계학술대회 논문집
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    • pp.551-554
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    • 2000
  • The stability of $Pr_6$$O_{11}$-based ZnO varistors doped with $Y_2$$O_3$ was investigated under various d.c. stresses. The varistors were sintered at $1350^{\circ}C$ for 1h in the addition range of 0.0 to 4.0 mol% $Y_2$$O_3$. The varistors doped with $Y_2$$O_3$ exhibited much higher nonlinearity than that without $Y_2$$O_3$. In Particular, the varistors containing 0.5 mol% $Y_2$$O_3$ showed very excellent V-I characteristics, which the nonlinear exponent was 51.19 and the leakage current was 1.32 $\mu\textrm{A}$. And these varistors also showed an excellent stability, which the variation rate of the varistor voltage and the nonlinear exponent were -0.80% and -2.17%, respectively, under 4th d.c. stress, such as (0.80 $V_ {1mA}$/$90^{\circ}C$/12h)+(0.85 $V_{1mA}$/$115^{\circ}C$/12h)+(0.90 $V_{1mA}$/$120^{\circ}C$/12h)+(0.95 $V_{1mA}$/$125^{\circ}C$/12h). Consequently, since $Pr_ 6$$O_{11}$-based ZnO varistors doped with 0.5 mol% $Y_2$$O_3$ have an excellent stability as well as good nonlinearity, it is expected to be usefully used to develop the superior varistors in future.

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$Dy_2O_3$가 첨가된 프라세오디뮴계 ZnO 바리스터의 DC 가속열화특성 (DC Accelerated Aging Characteristics of Praseodymium-Based ZnO Varistors Doped with $Dy_2O_3$)

  • 류정선;정영철;김향숙;남춘우
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 추계학술대회 논문집 전기물성,응용부문
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    • pp.78-80
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    • 2001
  • DC accelerating aging characteristics of praseodymium-based ZnO varistors doped with $Dy_2O_3$ were investigated with sintering time. The varistor sintered for 1h exhibited the highest nonlinearity, with a nonlinear exponent of 66.61 and a leakage current of $1.16{\mu}A$, whereas they did not exhibit relatively high stability. The varistor sintered for 2h having nonlinear exponent of 54.81 and leakage current of $2.52{\mu}A$ showed very excellent stability, which the variation rates of varistor voltage, nonlinear exponent, and leakage current are -1.19%, -4.00%, and +75.79% for 2h, under DC accelerated aging stress, such as ($0.85\;V_{1mA}/115^{\circ}C$/24h)+($0.90\;V_{1mA}/120^{\circ}C$/24h)+($0.95\;V_{1mA}/125^{\circ}C$/24h)+($0.95\;V_{1mA}/150^{\circ}C$/24h).

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Dy2O3가 첨가된 ZPCCD계 바리스터의 DC 가속열화 특성 (DC Accelerated Aging Characteristics of Dy2O3-Doped ZPCCD-Based Varistors)

  • 남춘우;박종아;김명준
    • 한국전기전자재료학회논문지
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    • 제16권12호
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    • pp.1071-1076
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    • 2003
  • The nonlinear properties and their stability of ZPCCD- based varistors, which are composed of ZnO P $r_{6}$ $O_{ll}$ - CoO-C $r_2$ $O_3$-D $y_2$ $O_3$-based ceramics, were investigated in the D $y_2$ $O_3$ content range of 0.0∼2.0 mol%. The incorporation of D $y_2$ $O_3$ greatly affected the nonlinear properties and the best nonlinearity was obtained from 0.5 mol% D $y_2$ $O_3$ with nonlinear exponent of 66.6 and leakage current of 1.2 $\mu$A. Further addition of D $y_2$ $O_3$ deteriorated the nonlinear properties. In stability against DC accelerated aging stress state: 0.95 $V_{1mA}$/15$0^{\circ}C$/24 h, the 0.5 mol% D $y_2$ $O_3$-doped varistor exhibited the highest stability, in which the variation rate of varistor voltage and nonlinear exponent are -1.9% and 10.5%, respectively. The remainder varistors resulted in thermal runaway due to low density of ceramics.s.s.

A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

  • Ibrahim Klouche Djedid;Sihame Ait Yahia;Kada Draiche;Emrah Madenci;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제90권5호
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    • pp.517-530
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    • 2024
  • This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing power-law exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

Ti-6Al-4V 합금의 미세조직 및 크리프 특성에 미치는 플라즈마 침탄 처리의 영향 (Improvement of Microstructure and Creep Properties of Ti-6Al-4V alloy by Plasma Carburization)

  • 박용권;위명용;박정웅
    • 열처리공학회지
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    • 제17권2호
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    • pp.94-100
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    • 2004
  • In order to improve the wear resistance of Ti-6Al-4V alloy, plasma carburization treatment was newly carried out without consumption of its good specific strength and fatigue life over the temperature. Effect of the plasma carburization was analyzed and compared with the non-treated alloy by microstructural observation, structure characterization and mechanical test. The plasma treated alloy formed a carburized layer of about $150{\mu}m$ in depth from the surface, where a fine and hard particles of TiC and $V_4C_3$ were homogeneously dispersed through the layer. The steady-static creep behaviors of Ti-6Al-4V alloy, using the constant stress creep tester, were investigated over the temperature range of $510{\sim}550^{\circ}C$(0.42~0.44Tm) and the stress range of 200~275 MPa. Stress exponent(n) was decreased from 9.32 of non-treatment specimen to 8.95 of carburized, however, the activation energy(Q) increased from 238 to 250 kJ/mol with the same condition as indicated above. From the above results, it can be concluded that the static creep deformation for Ti-6Al-4V alloy was controlled by the dislocation climb over the ranges of the experimental conditions.

Computation of mixed-mode stress intensity factors in functionally graded materials by natural element method

  • Cho, J.R.
    • Steel and Composite Structures
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    • 제31권1호
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    • pp.43-51
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    • 2019
  • This paper is concerned with the numerical calculation of mixed-mode stress intensity factors (SIFs) of 2-D isotropic functionally graded materials (FGMs) by the natural element method (more exactly, Petrov-Galerkin NEM). The spatial variation of elastic modulus in non-homogeneous FGMs is reflected into the modified interaction integral ${\tilde{M}}^{(1,2)}$. The local NEM grid near the crack tip is refined, and the directly approximated strain and stress fields by PG-NEM are enhanced and smoothened by the patch recovery technique. Two numerical examples with the exponentially varying elastic modulus are taken to illustrate the proposed method. The mixed-mode SIFs are parametrically computed with respect to the exponent index in the elastic modulus and external loading and the crack angle and compared with the other reported results. It has been justified from the numerical results that the present method successfully and accurately calculates the mixed-mode stress intensity factors of 2-D non-homogeneous functionally graded materials.