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An elliptical fracture criterion for mixed mode fracture I+II emanating from notches

  • El Minor, H.;Pluvinage, G.;Azari, Z.
    • Structural Engineering and Mechanics
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    • v.26 no.1
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    • pp.87-97
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    • 2007
  • Some mixed mode fracture criterion may be converted in to elliptical or ellipsoidal formula with the aid of mathematical translation. Hence, the crack initiation in mixed mode fracture I+II emanating from notches, has been studied using notched circular ring specimens. On the basis of Irwin (1957) theory, a new criteria in mixed mode fracture I+II, based fracture elliptic criterion and notch stress intensity factors has been developed.

A NEW APPROACH TO FUZZY CONGRUENCES

  • Hur, Kul;Jang, Su-Youn;Lee, Keon-Chang
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.7-16
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    • 2007
  • First, we investigate fuzzy equivalence relations on a set X in the sense of Youssef and Dib. Second, we discuss fuzzy congruences generated by a given fuzzy relation on a fuzzy groupoid. In particular, we obtain the characterizations of ${\rho}\;o\;{\sigma}{\in}$ FC(S) for any two fuzzy congruences ${\rho}\;and\;{\sigma}$ on a fuzzy groupoid ($S,{\odot}$). Finally, we study the lattice of fuzzy equivalence relations (congruences) on a fuzzy semigroup and give certain lattice theoretic properties.

Phenolic Compounds from Leaves of Spiraea salicifolia (꼬리조팝나무 잎의 페놀성 화합물)

  • Ahn, Byung-Tae;Oh, Kap-Jin;Park, Si-Kyung;Chung, Sun-Gan;Cho, Eui-Hwan;Kim, Jae-Gil;Ro, Jai-Seup;Lee, Kyong-Soon
    • Korean Journal of Pharmacognosy
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    • v.27 no.3
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    • pp.178-183
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    • 1996
  • Seven phenolic compounds were isolated from the leaves of Spiraea salicifolia. Their structures were characterized as cinnamic acid, ${\rho}-hydroxy$ cinnamic acid, ${\rho}-methoxy$ cinnamic acid, $1-O-coumaroyl-{\beta}-D-glucopyranose$, $1-O-caffeoyl-{\beta}-D-glucopyranose$, hyperoside and quercetin $3-O-(6'-O-{\alpha}-L-arbinopyranosyl)-{\beta}-D-galactopyranoside$ by chemical and spectroscopic evidence.

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Critical Suspension Condition of Particles in a Shaking Vessel of Solid-Liquid System (고-액계 진동교반에서 입자의 부유화 한계조건)

  • Lee, Young-Sei;Kim, Moon-Gab;Kato, Yoshihito
    • Journal of the Korean Society of Industry Convergence
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    • v.2 no.2
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    • pp.73-81
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    • 1999
  • Shake mixing has been widely used in cell culture. The mixing performance for shake mixing, however, has not been reported quantitatively. The critical circulating frequency and the power consumption for complete suspension of particles, based on the definition of Zwietering, were measured in a shaking vessel containing a solid-liquid system. The critical suspension frequency was correlated by the equation from Baldi's particle suspension model modified with the physical properties of the particles. Critical suspension frequency was correlated as following ; $$N_{JS}={\frac{0.58\;d{_p}^{0.06}(g{\Delta}{\rho}/{\rho}_L)^{0.004}X^{0.03}}{D^{0.35}d^{0.17}{\upsilon}^{0.04}}}$$ The power consumption at the critical suspension condition in the shaking vessel was less than that in an agitated vessel with impeller.

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ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

  • YUN, SUNGSIK;LEE, JUNG RYE;SHIN, DONG YUN
    • The Pure and Applied Mathematics
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    • v.23 no.3
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    • pp.247-263
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    • 2016
  • Let $M_{1}f(x,y):=\frac{3}{4}f(x+y)-\frac{1}{4}f(-x-y)+\frac{1}{4}f(x-y)+\frac{1}{4}f(y-x)-f(x)-f(y)$, $M_{2}f(x,y):=2f(\frac{x+y}{2})+f(\frac{x-y}{2})+f(\frac{y-x}{2})-f(x)-f(y)$. Using the direct method, we prove the Hyers-Ulam stability of the additive-quadratic ρ-functional inequalities (0.1) $N(M_{1}f(x,y),t){\geq}N({\rho}M_{2}f(x,y),t)$ where ρ is a fixed real number with |ρ| < 1, and (0.2) $N(M_{2}f(x,y),t){\geq}N({\rho}M_{1}f(x,y),t)$ where ρ is a fixed real number with |ρ| < $\frac{1}{2}$.

ADDITIVE ρ-FUNCTIONAL INEQUALITIES IN β-HOMOGENEOUS F-SPACES

  • LEE, HARIN;CHA, JAE YOUNG;CHO, MIN WOO;KWON, MYUNGJUN
    • The Pure and Applied Mathematics
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    • v.23 no.3
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    • pp.319-328
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    • 2016
  • In this paper, we solve the additive ρ-functional inequalities (0.1) ||f(2x-y)+f(y-x)-f(x)|| $\leq$ ||${\rho}(f(x+y)-f(x)-f(y))$||, where ρ is a fixed complex number with |ρ| < 1, and (0.2) ||f(x+y)-f(x)-f(y)|| $\leq$ ||${\rho}(f(2x-y)-f(y-x)-f(x))$||, where ρ is a fixed complex number with |ρ| < $\frac{1}{2}$. Using the direct method, we prove the Hyers-Ulam stability of the additive ρ-functional inequalities (0.1) and (0.2) in β-homogeneous F-spaces.

Assessment of Maximum Use Levels and Estimation of Theoretical Maximum Daily Intake for 9 Food Additives in Korea by the Budget Method (Budget 방법론에 의한 한국의 식품첨가물 사용기준평가 및 식품첨가물 9종에 대한 이론적 최대섭취량의 추정)

  • 윤혜정;이미경;이창희;이종옥;이철원
    • Journal of Food Hygiene and Safety
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    • v.14 no.2
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    • pp.186-194
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    • 1999
  • The Budget method used currently in Codex for estimation of use levels of food additives was investigated and the specific approach that can be applicable for Koreans has been proposed. Theoretical maximum daily intakes(TMDIs) of benzoate, $\rho$-hydroxybenzoic acid ester, butylated hydroxyanisole(BHA), butylated hydroxytoluene (BHT), t-butylhydroquinone(TBHQ), nitrite, nitrate, sorbate, and sulfite were estimated and compared with corresponding acceptable daily intakes(ADIs). Additives requiring further precise evaluation were screened. TMDIs of benzoate, BHA, BHT, TBHQ, nitrite, and sulfite exceeded ADIs. On the other hand, it is appeared that TMDIs of $\rho$-hydroxybenzoic acid ester, nitrate, and sorbate were below ADIs. It is expected that the Budget method may be used as one approach for the estimation of use level and risk assessment.

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Fission Moly 생산을 위한 HANARO의 적용 타당성 연구

  • 조동건;김명현;손동성
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05a
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    • pp.193-198
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    • 1998
  • Fission Moly 생산을 위한 조사시설로 HANARO가 사용점에 있어서 충분한 타당성을 갖는지에 대해 원자로 운전중 표적장전에 따른 노심반응도의 영향, 표적의 최대 표면 열출력밀도, Mo-99 생산능력 측면에서 평가하였다. 그 결과 운전중 표적 장전으로 인한 반응도가(reactivity worth)가 약 0.2 %Δ$\rho$정도로 제한치인 1.25 %Δ$\rho$보다 현저히 작고, 최대 표면 열출력밀도 또한 2.76 Mw/$m^2$보다 현저히 작음을 볼 수 있었다. 또한 OR공 한 개만을 사용한다. 할지라도 Mo-99의 상업생산 목표를 충분히 만족시킬 수 있음을 알 수 있었다 따라서 HANARO를 Fission Moly 생산을 위한 조사시설로 사용하는 것은 타당하다 할 수 있다.

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Implementation of Software Defined Radio Module for Channel Decomposition and Composition of Multiple CDMA Signal (다중 CDMA 신호의 채널 분리합성을 위한 Software Defined Radio 모듈의 구현)

  • Rho Byeon-Ho;Jeong Sang-Guk;Rho Seung-Ryong;Kim Yun-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.438-443
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    • 2006
  • In this paper, We had proposed SDR module, and designed FPGA to compose with channel separation of broadband CDMA signal what have multiple FA. At decomposition and composition process of multiple FA CDMA signal, system only progress decomposition and composition of channel selected by software. Therefore, proposed system can manage base station transceiver system very effectively than the other way what send on all band of multiple CDMA signal. Also, it is possible that system sets again coefficient of each filter because it is consisted of SDR module. Therefore, we can easily control coefficient each filter according to base station transceiver system environment.

Experimental Study on the Mechanical Behavior of Reinforced Concrete Beams Exposed to High Temperature (고온에 노출된 철근콘크리트 보의 역학적 특성에 관한 실험연구)

  • Choi, Kwang-Ho;Lee, Joong-Won;Eum, Young-Hoon
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.127-130
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    • 2005
  • The purpose of this study is to investigate the flexural behavior of reinforced concrete beam members exposed to high temperature. In order to study the flexural behaviors, the 17 specimens have been tested with variables of reinforcement ratios($0.5\rho_{max},\rho_{min}$), heating conditions(nonheating, 400$^{circ}C$, 600$^{circ}C$, 800$^{circ}C$ heating and 1 hour preservation) and loading state(stressed and residual state). The results show that the stiffness and strength of specimens are lower when they are exposed to higher temperature and the pattern of crack and color of specimens exposed to fire are different from ordinary concrete members.

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