• 제목/요약/키워드: critical exponent

검색결과 98건 처리시간 0.022초

비활성 기체의 증기압 예측 (Prediction of Vapor Pressure of the Inert Gases)

  • 정재관
    • 대한화학회지
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    • 제47권6호
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    • pp.541-546
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    • 2003
  • 문헌에 보고된 기존의 비활성 기체의 증기압 측정값을 이용하여 환원증기압과 환원온도 형태의 아래와 같은 식의 상수 A, B, C, D와 지수 n을 구하는데 사용하였다: $InP_r=A+{\frac{B}{T_r}+CInT_r+DT_n^r}$ 오차분석법에 의해 위 식에 적용되는 비활성 기체의 각 기체 Ar, Kr, Xe, He과 Ne에 대한 가장 정확한 지수와 4개의 상수를 얻었다. 위 식을 통해 각 기체의 증기압을 계산하기 위해서 필요한 것은 정상 끓는점, 임계압력 및 임계온도뿐이며 5개의 비활성 기체의 406개 증기압 실험값에 적용하여 본 결과 전체 평균편차가 0.31% 였다. Ar, Kr, Xe에 대한 평균편차는 각각 0.24%, 0.09%, 0.22%였으며, Ne은 1.31%, He은 0.61%이다. 이러한 결과는 He과 연관된 큰 양자효과와 Ne에 대한 적은 양자효과 때문에 예상된 것이다.

INFINITELY MANY SMALL SOLUTIONS FOR THE p(x)-LAPLACIAN OPERATOR WITH CRITICAL GROWTH

  • Zhou, Chenxing;Liang, Sihua
    • Journal of applied mathematics & informatics
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    • 제32권1_2호
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    • pp.137-152
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    • 2014
  • In this paper, we prove, in the spirit of [3, 12, 20, 22, 23], the existence of infinitely many small solutions to the following quasilinear elliptic equation $-{\Delta}_{p(x)}u+{\mid}u{\mid}^{p(x)-2}u={\mid}u{\mid}^{q(x)-2}u+{\lambda}f(x,u)$ in a smooth bounded domain ${\Omega}$ of ${\mathbb{R}}^N$. We also assume that $\{q(x)=p^*(x)\}{\neq}{\emptyset}$, where $p^*(x)$ = Np(x)/(N - p(x)) is the critical Sobolev exponent for variable exponents. The proof is based on a new version of the symmetric mountainpass lemma due to Kajikiya [22], and property of these solutions are also obtained.

SCM 440 강재의 동적 재결정 조직 변화에 관한 연구 (The Evolution of Dynamically Recrystallized Microstructure for SCM 440)

  • 한형기;유연철
    • 소성∙가공
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    • 제10권1호
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    • pp.35-41
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    • 2001
  • The high temperature deformation behavior of SCM 440 can be characterized by the hot torsion test in the temperature ranges of $900^{\circ}C$~$1100^{\circ}C$ and strain rate ranges of 0.05/sec~5/sec. The aim of this paper is to establish the quantitative equation of the volume fraction of dynamic recrystallization (DRX) as a function of processing variables, such as strain rate ($\varepsilon$), temperature (T), and strain ('$\varepsilon$). During hot deformation, the evolution of microstructure could be analyzed from work hardening rate ($\theta$). For the exact prediction of dynamic softening mechanism the critical strain ($\varepsilon_c$), the strain for maximum softening rate ($\varepsilon^*$ and Avrami' exponent (m') were quantitatively expressed by dimensionless parameter, Z/A, respectively. The transformation-effective strain-temperature curve for DRX could be composed. It was found that the calculated results were agreed with the experimental data for the steel at any deformation conditions.

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Al합금의 크리프 파단수명에 관한 연구 (The Creep-Rupture Life of Al Alloy)

  • 배춘익;진도훈
    • 한국기계기술학회지
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    • 제13권4호
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    • pp.125-130
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    • 2011
  • Technological mode progress demands the use of materials at high temperature and pressure. Constant load creep tests have been carried out over the range of stresses at high temperatures. One of the most critical factors in considering such applications as the most critical one is the creep behavior. In order to investigate the creep behavior in this study, the stress exponents during creep were determined over the temperature range of $275^{\circ}C$ to $325^{\circ}C$ and the stress range of 36MPa to 72MPa. The applicability of modified Monkman-Grant relationship was also discussed.

한국프로야구에서 쌍별 승률추정량의 효율성 (Efficiency of pairwise winning percentage estimators in Korean professional baseball)

  • 이장택
    • Journal of the Korean Data and Information Science Society
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    • 제28권2호
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    • pp.309-316
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    • 2017
  • 야구에서 승률 추정은 매우 중요한 문제이며 현재 이 분야에 대한 연구가 활발하게 진행되고 있다. 쌍별 승률추정은 팀대 팀의 경기결과를 이용하여 전체 승률을 추정하는 방법으로써 각 팀들의 추정된 승률의 합이 상수가 된다는 타당성을 가진다. 본 연구에서는 한국프로야구에서 피타고라스 승률과 선형 승률에 쌍별 추정을 적용하고 효율성을 RMSE와 MAD를 이용하여 살펴보았다. 사용된 데이터는 2013년부터 2016년 사이의 모든 한국프로야구 팀대 팀 기록이며, 그 결과 쌍별 피타고라스 추정이 기존의 방법들보다 RMSE와 MAD 측면에서 바람직하다고 간주되었다. 또한 쌍별 피타고라스 추정에 사용되는 바람직한 지수 값의 결정에 대하여 설명하였으며 추정에 사용된 지수 값의 변화에 따른 RMSE와 MAD의 차이는 크지 않음을 알 수 있었다.

Effect of Circuit Parameters on Stability of Voltage-fed Buck-Boost Converter in Discontinuous Conduction Mode

  • Feng, Zhao-He;Gong, Ren-Xi;Wang, Qing-Yu
    • Journal of Electrical Engineering and Technology
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    • 제9권4호
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    • pp.1283-1289
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    • 2014
  • The state transition matrix are obtained by solving state equations in terms of Laplace inverse transformation and Cayley-Hamilton theorem, and an establishment of a precise discrete-iterative mapping of the voltage-fed buck-boost converter operating in discontinuous conduction mode is made. On the basis of the mapping, the converter bifurcation diagrams and Lyapunov exponent diagrams with the input voltage, the resistance, the inductance and the capacitance as the bifurcation parameters are obtained, and the effect of the parameters on the system stability is deeply studied. The results obtained show that they have a great influence on the stability of the system, and the general trend is that the increase of either the voltage-fed coefficient, input voltage or the load resistance, or the decrease of the filtering inductance, capacitance will make the system stability become poorer, and that all the parameters have a critical value, and when they are greater or less than the values, the system will go through stable 1T orbits, stable 2T orbits, 4T orbits, 8T orbits and eventually approaches chaos.

현가장치재의 피로수명향상 공법개발에 관한 연구 (A Study of Development Methods of Fatigue Life Improvement for the Suspension Material)

  • 박경동;정찬기
    • 한국자동차공학회논문집
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    • 제12권1호
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    • pp.196-202
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    • 2004
  • The development of new materials with light weight and high strength has become vital to the machinery, aircraft and auto industries. However, there are a lot of problems with developing such materials that require expensive tools, and a great deal of time and effort. Therefore, the improvement of fatigue strength and fatigue life are mainly focused on adopting residual stress(in this thesis). The compressive residual stress was imposed on the surface according to each shot velocity(57, 70, 83, 96 m/sec) based on Shot-peening, which is the method of improving fatigue life and strength. By using the methods mentioned above, the following conclusions have been drawn. 1. The fatigue crack growth rate(da/dN) of the Shot-peened material was lower than that of the Un-peened material. And in stage I, ΔKth, the threshold stress intensity factor, of the shot-peen processed material is high in critical parts unlike the Un-peened material. Also m, fatigue crack growth exponent and number of cycle of the Shot-peened material was higher than that of the Un-peened material. That is concluded from effect of da/dN. 2. Fatigue life shows more improvement in the Shot-peened material than in the Un-peened material. And compressive residual stress of surface on the Shot-peen processed operate resistance force of fatigue crack propagation.

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.

High Temperature Creep Properties of Al-Al4C3-Al2O3 Alloy by Mechanical Alloying

  • Han, Chang-Suk;Seo, Han-Byeol
    • 한국재료학회지
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    • 제26권7호
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    • pp.370-375
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    • 2016
  • Tensile tests and creep tests were carried out at high temperatures on an Al-$Al_4C_3$ alloy prepared by mechanical alloying technique. The material contains about 2.0% carbon and 0.9% oxygen in mass percent, and the volume fractions of $Al_4C_3$ and $Al_2O_3$ particles are estimated at 7.4 and 1.4%, respectively, from the chemical composition. Minimum creep rate decreased steeply near two critical stresses, ${\sigma}_{cl}$ (the lower critical stress) and ${\sigma}_{cu}$ (the upper critical stress), with decreasing applied stress at temperatures below 723 K. Instantaneous plastic strain was observed in creep tests above a critical stress, ${\sigma}_{ci}$, at each test temperature. ${\sigma}_{cu}$ and ${\sigma}_{ci}$ were fairly close to the 0.2% proof stress obtained by tensile tests at each test temperature. It is thought that ${\sigma}_{cl}$ and ${\sigma}_{cu}$ correspond to the microscopic yield stress and the macroscopic yield stress, respectively. The lower critical stress corresponds to the local yield stress needed for dislocations to move in the soft region within subgrains. The creep strain in the low stress range below 723 K arises mainly from the local deformation of the soft region. The upper critical stress is equivalent to the macroscopic yield stress necessary for dislocations within subgrains or in subboundaries; this stress can extensively move beyond subboundaries under a stress above the critical point to yield a macroscopic deformation. At higher temperatures above 773 K, the influence of the diffusional creep increases and the stress exponent of the creep rate decreases.

임계 마이셀 농도의 온도 함수와 지수 법칙 (Functions and Power Laws of Critical Micelle Concentration with Respect to Temperature)

  • 임경희;김홍운;강계홍
    • 공업화학
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    • 제17권5호
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    • pp.443-450
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    • 2006
  • 마이셀은 여러 방면에서 폭넓게 활용되고 있다. 그러므로 마이셀이 처음으로 형성되는 농도인 임계 마이셀 농도(임마농, CMC)가 온도에 따라 어떻게 달라지는지 이해하는 것이 중요하다. 이제까지 셀 수 없이 많은 논문에서 임마농의 온도 의존성을 온도의 다항식으로 나타내어 사용하였다. 본 논문에서는 이의 부당함을 밝혔으며, 열역학적 사실과 실험 관찰 결과에 근거하여 임마농의 온도 함수를 새롭게 구하였다. 그리고 여기에서 더 나아가 새로운 식을 이용하여 임마농의 온도에 대한 지수 법칙을 구하였다. 이 식들을 임마농 자료에 맞춤으로써 이들의 정확도를 조사하였는데, 매우 정확한 것으로 판명되었으며, 특히 지수 법칙에서 지수가 계면활성제에 관계없이 2로 나타나서 모든 계면활성제에 사용될 수 있는 식으로 평가되었다.