• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2001년도 The 6th International Symposium of East Asian Resources Recycling Technology
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• pp.514-519
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• 2001

Converter has been slag produced 10 million tons per year in Japan. It is a steel making by product produced in the same way as the blast-furnace slag. Though blast-furnace slag is being used effectively as a concrete admixture, the converter stag has never been used effectively because of the expansion action of contained free lime and iron oxide. This is an important environmental problem in the steel industry. Beta-2CaOSiO$_2$(beta-C$_2$S) is contained 40 percent in converter slag, therefore it is very promising as a concrete admixture. We proposed an accelerated aging processes capable of stabilizing the converter slag in a short time. The converter slag is dipped into alkali aqueous solution after heating at low temperature. It was subsequently ground to a grain size of 75 ${\mu}{\textrm}{m}$ , inner 30 percent of OPC. The properties of mortar and concrete using the blended cement were determined. As a result, it has become apparent that the expansion was reduced and long term compressive strength was increased while that at early ages was not so remarkable. The hydration exotherm rate was lower than that of the OPC.

• 품질경영학회지
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• 제21권1호
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• pp.171-180
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• 1993

Variables, x and y are said to have a linear relation if $y={\beta}_0+{\beta}_1\;x$, and ${\beta}_0$ and ${\beta}_1$ are constants. The relationship is called a structural relationship if x has positive variance (i.e., x is not fixed) and only error-prone measurements of x and y can be obtained. This paper derives (to order $n^{+1/2}$) an approximate distribution of the Studentized test statistic for testing hypotheses about the slope parameter, ${\beta}_1$ in a simple linear structural model. A simulation study suggests our approximate distribution is more accurate approximation to the exact distributions of the Studentized statistic than is the limiting distribution.

• 폴리머
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• 제36권3호
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• pp.281-286
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• 2012

두 가지의 종횡비(${\rho}_{\alpha}=a_1/a_3$ and ${\rho}_{\beta}=a_1/a_2$)에 의해 특징지어진 3차원 타원체($a_1$ > $a_2$ > $a_3$)를 사용하여 polypropylene 복합체의 판상형 충전제 함량과 방향이 열팽창률에 미치는 영향에 대해 실험적인 연구를 수행하였다. 측정된 실험적인 값은 Lee와 그의 연구자들이 제안한 이론적인 모델에 의한 계산 값과 비교분석되었다. 판상형 충전제로는 운모와 탈크가 사용되었다. 실험 결과로 운모의 경우 종횡비는 ${\rho}_{\alpha}=13.5$, ${\rho}_{\beta}=1.8$이 사용되어, 20 wt% 함량일 때 ${\alpha}_{11}/{\alpha}_m$는 약 0.56으로 감소하였으나, ${\alpha}_{33}/{\alpha}_m$는 오히려 1.018로 증가함을 보였다. 탈크의 경우의 종횡비는 ${\rho}_{\alpha}=3.7$, ${\rho}_{\beta}=1.4$이었고 ${\alpha}_{11}/{\alpha}_m$는 0.63으로 감소하였다. 결국 운모와 탈크 모두 그 함량증가에 따라 종단방향과 횡단방향에서 열팽창률은 감소하였으나 수직방향에서는 초기 낮은 충전제 함량에서는 오히려 증가하는 경향을 보였다.

• 폴리머
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• 제34권4호
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• pp.352-356
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• 2010

2개의 종횡비에 의해 특징지어진 3차원 타원체를 사용하여 PP복합체의 충전제 형태와 함량이 열팽창률에 미 치는 영향에 대해 Lee와 Paul에 의해 제안된 이론적인 값과 실험적인 결과값이 비교분석되었다. 충전제의 형태는 구형에 황산바륨을, 섬유형에는 유리섬유를, 판상형에는 운모를 사용하였다. 실험의 결과로서 구형을 갖는 황산바륨 은 종횡비가 1의 값을 갖고 이론과 같이 열팽창률이 감소하였다. 유리섬유의 경우 함량증가에 따라 종횡비는 42, 37, 25, 20으로 감소하였으며 종단방향에선 열팽창률이 감소하였지만 수직방향에서는 증가하였다. 운모의 경우 그 함량증가에 따라 모두 종단방향과 횡단방향에서 감소하고 수직방향에서 증가하였다. 종횡비의 값은 각각, $\rho_\alpha$=13.5, $\rho_\beta$=1.8이었다.

• 호남수학학술지
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• 제43권2호
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• pp.259-267
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• 2021

Given 𝛽 > 1, we consider real numbers whose 𝛽-expansions are Sturmian words. When the slope of Sturmian words varies, their behaviors have been well studied from analytical point of view. The regularity enables us to find the Fourier series expansion, while the singularity at rational slopes yields a new kind of trigonometric series representing 𝜋.

• The Korean Journal of Ceramics
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• 제3권3호
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• pp.208-212
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• 1997

Shear-induced phase transformation behavior of chemically stabilized $\beta$-cristobalite was studied by the fiber push-out technique. To obtain the critical grain size for phase transformation, the hot-pressed polycrystalline $\beta$-cristobalite, which was used as the interphase between fiber and matrix, was annealed at $1300^{\circ}C$ for 10h. Two types of fibers, mullite and sapphire fiber, were used in this study. Debonding between mullite fiber and cristobalite interphase occurred at a critical load of 230 MPa. Static friction and fiber sliding were continuously followed by debonding. Shear-induced transformation induced cracks in the cristobalite interphase at the debonding stage. In the case of the sapphire fiber, the debonding occurred at a lower load of 180 MPa due to the residual stress in the interface caused by the difference in thermal expansion coefficients between the fiber and the cristobalite interphase. The load was insufficient for shear-induced phase transformation.

• The Korean Journal of Ceramics
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• 제5권4호
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• pp.400-403
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• 1999

The mechanical and electrical properties of hot-pressed and annelaed $\beta$-SiC+39vol.% $ZrB_2$ electroconductive ceramic composites were investigated as a function of the liquid forming additives of $Al_2O_3+Y_2O_3$(6:4 wt%). In this microstructures, no reactions and elongated $\alpha$-SiC grains with equiaxed $ZrB_2$ grains were observed between $\beta$-SiC and $ZrB_2$. The properties of the $\beta$-SiC+39vol.%$ZrB_2$ composites with 4wt% $Al_2O_3+Y_2O_3$ at R.T. are as follows: fracture toughness is 6.37 MPa.m1/2, electical resistivity is $1.51\times10^{-4}\Omega \cdot\textrm{cm}$ and the relative density is 98.6% of the theoretical density. The fracture toughness of the $\beta$-SiC+39 vol.% $ZrB_2$ composites were weakly decreased with increasing amount of $Al_2O_3+Y_2O_3$ additives. Internal stresses due to the difference of $\beta$-SiC and $ZrB_2$ thermal expansion coefficient and elastic modulus mismatch appeared to contribute to fracture toughening in $\beta$-SiC+39vol.%$ZrB_2$ electroconductive ceramic composites.

• 한국재료학회지
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• 제20권2호
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• pp.72-77
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• 2010

Glass-ceramics were fabricated by heat-treatment of glass obtained by melting a coal bottom ash with $Li_2O$ addition. The main crystal grown in the glass-ceramics, containing 10 wt% $Li_2O$, was $\beta$-spodumene solid solution, while in $Li_2O$ 20 wt% specimen was mullite, identified using XRD. The activation energy and Avrami constant for crystallization were calculated and showed that bulk crystallization behavior will be predominant, and this expectation agreed with the microstructural observations. The crystal phase grown in $Li_2O$ 10 wt% glass-ceramics had a dendrite-like shaped whereas the shape was flake-like in the 20 wt% case. The thermal expansion coefficient of the $Li_2O$ 10 wt% glass-ceramics was lower than that of the glass having the same composition, owing to the formation of a $\beta$-spodumene phase. For example, the thermal expansion coefficient of $Li_2O$ 10 wt% glass-ceramics was $20\times10^{-7}$, which is enough for application in various heat-resistance fields. But above 20 wt% $Li_2O$, the thermal coefficient expansion of glass-ceramics, on the contrary, was higher than that of the same composition glass, due to formation of mullite.

• 한국결정성장학회지
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• 제21권5호
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• pp.218-224
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• 2011

저열팽창 특성을 갖는 난소결 물질인 LAS($Li_2O-Al_2O_3-SiO_2$)계를 고상 소결로 제조하였다. LAS계의 ${\beta}$-spodumene($Li_2O-Al_2O_3-4SiO_2$) 조성에 소결 조제로 $CaCO_3$를 첨가하였고, 강도 증가를 위하여 $ZrO_2$를 첨가하였다. 첨가제의 양의 변화와 소결 온도의 변화에 따른 소결 특성, 미세 구조, 기계적 특성 및 열팽창 특성에 대하여 조사하였다. 0.1 mol%의 $CaCO_3$을 첨가하였을 때, 치밀화가 증진됨을 미세구조 관찰에 의해 확인하였으며, $ZrO_2$의 첨가로 강도가 증진됨을 확인하였다. Dilatometer로 측정한 열팽창 계수는 선택된 전 조성에서 값이 $1.2{\sim}1.7{\times}10^6/^{\circ}C$임을 확인하였다.

• 천문학회지
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• 제40권4호
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• pp.183-186
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• 2007

The spectroscopic properties of bright extragalactic planetary nebulae are reviewed, considering primarily their chemical abundances and their internal kinematics. Low-resolution spectroscopy is used to investigate how the precursor stars of bright planetary nebulae modify their original composition through nucleosynthesis and dredge up. At present, the evidence indicates that oxygen and neon abundances usually remain unchanged, helium abundances are typically enhanced by less than 50%, while nitrogen enhancements span a very wide range. Interpreting these changes in terms of the masses of their progenitor stars implies that the progenitor stars typically have masses or order $1.5M_{\bigodot}$ or less, though no models satisfactorily explain the nitrogen enrichment. High-resolution spectroscopy is used to study the internal kinematics of bright planetary nebulae in Local Group galaxies. At first sight, the expansion velocities are remarkably uniform, with a typical expansion velocity of 18 km/s and a range of 8-28 km/s, independent of the progenitor stellar population. Upon closer examination, bright planetary nebulae in the bulge of M31 expand slightly faster than their counterparts in M31's disk, a result that may extend generally to the planetary nebulae arising from old and young stellar populations. There are no very strong correlations between expansion velocity and global nebular properties, except that there are no large expansion velocities at the highest $H{\beta}$ luminosities (i.e., the youngest objects never expand rapidly). These results independently suggest that bright planetary nebulae arise from a similar mass range in all galaxies. Nonetheless, there are good reasons to believe that bright planetary nebulae do not arise from identical progenitor stars in all galaxies.