• Title/Summary/Keyword: Stress Exponent

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

  • Hyun, Hong-Chul;Lee, Jin-Haeng;Lee, Hyung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.21-28
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    • 2008
  • Stress-strain curves based on Ramberg-Osgood and Hollomon relations are strongly dependent upon the regressed range of strain. This work investigates mathematical expressions of true stress-strain curves of metallic materials. We first observe the variation of yield strength, strain hardening exponent and stress-strain curve with regressed range of stain. Based on sectional regression and expression using one or two parameters, we propose an optimal strain range for which yield strength and nonlinear material behavior are quite appropriate.

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

  • 남춘우;박종아
    • Journal of the Korean Ceramic Society
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    • v.41 no.6
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    • pp.464-470
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    • 2004
  • The electrical stability of ZPCCY-based varistors composing of ZnO-Pr$_{6}$O$_{11}$-CoO-C $r_2$ $O_3$- $Y_2$ $O_3$ ceramics were investigated in various DC accelerated aging stress with sintering times. Sintering time greatly affected electrical properties and stability. Sintering time decreased nonlinear exponent in the range of 51.2∼23.8 and increased leakage current in the range of 1.3∼5.6 ${\mu}$A. The varistor sintered for 1 h exhibited high nonlinearity, whereas relatively low stability. On the contrary, the varistor sintered for 3 h exhibited low nonlinearity, whereas relatively high stability. But the varistor sintered for 2 h exhibited not only good nonlinearity, with nonlinear exponent of 38.6 and leakage current of 3.6 ${\mu}$A but also high stability, in which the variation rates of varistor voltage, nonlinear exponent, leakage current, and dissipation factor are -0.80%, -1.81 %, +74.4%, and +0.88%, respectively.

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

  • Han, Jae-Jun;Kim, Sang-Hyun;Chung, Jin-Taek;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.3
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    • pp.405-412
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    • 2013
  • This paper reports the steady-state stresses within the heat affected zone (HAZ) of a welded straight pipe subject to creep. The creep constants and exponent are varied systematically to see the effect of various mismatches in creep properties on the steady-state creep stresses, via detailed two-dimensional finite element (FE) creep analyses. The weldments consist of the base metal and weld metal with the HAZ, which are characterized using the idealized power creep laws with the same creep exponent. The internal pressure and axial loading are considered to see the effect of the loading mode. To quantify the creep stresses, a creep mismatch factor is introduced as a function of the creep constants and exponent. It is concluded that the ratio of the section-averaged stresses for a mismatched case to those for an evenmatched case are linearly dependent on the mismatch factor. The results are compared with the FE results, including the Type IV region, as well as the R5 procedure.

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

  • 윤한수;류정선;남춘우
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.11a
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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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DC Accelerated Aging Characteristics of Praseodymium-Based ZnO Varistors Doped with $Dy_2O_3$ ($Dy_2O_3$가 첨가된 프라세오디뮴계 ZnO 바리스터의 DC 가속열화특성)

  • Ryu, Jung-Sun;Jung, Young-Chul;Kim, Hyang-Suk;Nahm, Choon-Woo
    • Proceedings of the KIEE Conference
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    • 2001.11a
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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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DC Accelerated Aging Characteristics of Dy2O3-Doped ZPCCD-Based Varistors (Dy2O3가 첨가된 ZPCCD계 바리스터의 DC 가속열화 특성)

  • 남춘우;박종아;김명준
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.12
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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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    • v.90 no.5
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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.

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

  • Park, Y.G.;Wey, M.Y.;Park, J.U.
    • Journal of the Korean Society for Heat Treatment
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    • v.17 no.2
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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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    • v.31 no.1
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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.