• Title/Summary/Keyword: higher order solution

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Hardness and Microstructures of Ti-Zr-(Cu) based Alloys for Dental Castings (치과주조용 Ti-Zr-(Cu)계 합금의 경도 및 미세조직)

  • Joo, Kyu-Ji
    • Journal of Technologic Dentistry
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    • v.27 no.1
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    • pp.65-71
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    • 2005
  • Experimental Ti-13%Zr and Ti-13%Zr-5%Cu alloys were made in an argon-arc melting furnace. The grade 2 CP Ti was used to control. The alloys were cast into phosphate bonded $SiO_2$ investment molds using an argon-arc casting machine, and The hardness and microstructures of the castings were investigated in order to reveal their possible use for new dental casting materials and to collect useful data for alloy design. The hardness of the Ti-13%Zr-5%Cu alloy(379Hv) became higher than that of Ti-13%Zr(317Hv) alloy, and the hardness of this alloys became higher than that of CP Ti(247Hv). Increasing in the hardness of the Ti-13%Zr-5%Cu alloy was considered to be solid solution hardening as the Ti-Zr system shows a completely solid solution for both high temperature $\beta$phase and low temperature $\alpha$ phase and also the inclusion of the eutectoid structure($\alpha Ti+Ti_{2}Cu$). No martensitic structures are observed in the specimen made of CP Ti, but Ti-13%Zr and Ti-13%Zr-5%Cu alloys show a kind of martensitic structure. Ti-13%Zr-5%Cu shows the finest microstructure. From these results, it was concluded that new alloys for dental casting materials should be designed as Ti-Zr-Cu based alloys.

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Physicochemical Stability of Leucine Enkephalin and $[D-Ala^2]$-Leucine Enkephalinamide in Buffered Aqueous Solution (완충 수용액중 로이신엔케팔린 및 [D-알라$^2]$-로이신엔케팔린아미드의 물리화학적 안정성)

  • Park, In-Sook;Chun, In-Koo
    • YAKHAK HOEJI
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    • v.38 no.5
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    • pp.488-495
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    • 1994
  • To evaluate the feasibility of transmucosal delivery of leucine enkephalin (Leu-Enk) and its synthetic analog, $[D-Ala^2]$-leucine enkephalinamide (YAGFL), their physicochemical stabilities in aqueous buffered solutions were first investigated using a stability indicating high performance liquid chromatography. The degradation of Leu-Enk and YAGFL followed the pseudo-first-order kinetics. From the pH-rate profiles, it was found that the maximal stability of the two pentapeptides was at the pH of about 5.0. The shelf lives $(t_{90%})$ for the degradation of Leu-Enk and YAGFL at pH 5.0 and $40^{\circ}C$ were found to be 48.13 and 50.9 days, respectively. From the temperature dependence of the degradation, activation energies for Leu-Enk and YAGFL were calculated to be 13.61 and 13.47 kcal/mole, respectively. A higher ionic strength and a higher initial peptide concentration in buffered solution slowed the degradation of the two pentapeptides. The addition of 2-hydroxypropyl-${\beta}$-cyclodextrin into the peptide solution did not affect the stability significantly.

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Physicochemical Characteristics of Kimchi treated with Chitosan during Fermentation (키토산 첨가에 따른 김치의 숙성 중 이화학적 특성)

  • Park, Bock-Hee;Cho, Hee-Sook;Oh, Bong-Yun
    • Korean Journal of Human Ecology
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    • v.5 no.1
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    • pp.85-93
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    • 2002
  • This study was conducted to examine the effects of chitosan on the changes in physicochemical characteristics and hardness during Kimchi fermentation. The Kimchi samples were stored for 8 days at $20{\pm}l^{\circ}C$. The results were as follows : The pH value was decreased in order of Kimchi treated with 0.05% of 5% chitosan solution(chitosan 0.05%), Kimchi treated with 0.025% of 5% chitosan solution(chitisan 0.025%), Kimchi treated with 0.01% of 5% chitosan solution(chitosan 0.01%) and control, and the total acidity was increased in the opposed order. Volatile acid was increased like the total acidity, it was decreased after 6 days during fermentation, reducing sugar contents of Kimchi samples were decreased gradually. The ascorbic acid contents of Kimchi were increased rapidly in the early stage of fermentation and decreased in the late stage. Properties of hardness of Kimchi measured instrumentally were higher in the Kimchi treated with chitosan than control throughout the fermentation period.

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Bending of steel fibers on partly supported elastic foundation

  • Hu, Xiao Dong;Day, Robert;Dux, Peter
    • Structural Engineering and Mechanics
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    • v.12 no.6
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    • pp.657-668
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    • 2001
  • Fiber reinforced cementitious composites are nowadays widely applied in civil engineering. The postcracking performance of this material depends on the interaction between a steel fiber, which is obliquely across a crack, and its surrounding matrix. While the partly debonded steel fiber is subjected to pulling out from the matrix and simultaneously subjected to transverse force, it may be modelled as a Bernoulli-Euler beam partly supported on an elastic foundation with non-linearly varying modulus. The fiber bridging the crack may be cut into two parts to simplify the problem (Leung and Li 1992). To obtain the transverse displacement at the cut end of the fiber (Fig. 1), it is convenient to directly solve the corresponding differential equation. At the first glance, it is a classical beam on foundation problem. However, the differential equation is not analytically solvable due to the non-linear distribution of the foundation stiffness. Moreover, since the second order deformation effect is included, the boundary conditions become complex and hence conventional numerical tools such as the spline or difference methods may not be sufficient. In this study, moment equilibrium is the basis for formulation of the fundamental differential equation for the beam (Timoshenko 1956). For the cantilever part of the beam, direct integration is performed. For the non-linearly supported part, a transformation is carried out to reduce the higher order differential equation into one order simultaneous equations. The Runge-Kutta technique is employed for the solution within the boundary domain. Finally, multi-dimensional optimization approaches are carefully tested and applied to find the boundary values that are of interest. The numerical solution procedure is demonstrated to be stable and convergent.

A Similarity Solution of the Characteristics of Micropolar Fluid Flow in the Vicinity of a Wedge (상사해법을 이용한 쐐기형 물체 주위의 미세 극성유체 유동 특성에 관한 연구)

  • Kim, Youn J.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.8
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    • pp.969-977
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    • 1999
  • A similarity solution of a steady laminar flow of micropolar fluids past wedges has been studied. The similarity variables found by Falkner and Skan are employed to reduce the streamwise-dependence in the coupled nonlinear boundary layer equations. Numerical solutions of the equations are then obtained using the fourth-order Runge-Kutta method and the distribution of velocity, micro-rotation, shear and couple stress across the boundary layer are obtained. These results are compared with the corresponding flow problems for Newtonian fluid past wedges with various wedge angles. Numerical results show that, keeping ${\beta}$ constant, the skin friction coefficient is lower for a micropolar fluid, as compared to a Newtonian fluid. For the case of constant material parameter K, however, the velocity distribution for a micropolar fluid is higher than that of a Newtonian fluid.

Collagen Growth Effects in Rats using B. mori Fibroin (견 피브로인의 Rat 콜라겐 성장 효과)

  • 여주홍;이광길;이용우
    • Journal of Sericultural and Entomological Science
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    • v.43 no.1
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    • pp.49-52
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    • 2001
  • The collagen growth effects in rats using B. mori fibroin sponge sheet, pure fibroin solution and chitosan sponge sheet were investigated. Histopathological inspection of the wound 12 days later showed the increse of a vascular ingrowth and the absence of inflammatory cells. Wound healing effects were accelerated in the order of Fibroin sponge sheet$\geq$Fibroin dressing solution〉Chitosan sponge sheet〉Control. The mean percentage of collagen production in rats after 12 days was 46.12$\pm$4.58% and 42.11$\pm$5.67% in fibroin sponge sheet and dressing solution-treated rats, respectively. These values were higher than the relative content in the chitosan sponge sheet and control groups, which was 23.87$\pm$3.24 and 2.42$\pm$0.32%, respectively.

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BIFURCATION PROBLEM FOR A CLASS OF QUASILINEAR FRACTIONAL SCHRÖDINGER EQUATIONS

  • Abid, Imed
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1347-1372
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    • 2020
  • We study bifurcation for the following fractional Schrödinger equation $$\{\left.\begin{eqnarray}(-{\Delta})^su+V(x)u&=&{\lambda}f(u)&&{\text{in}}\;{\Omega}\\u&>&0&&{\text{in}}\;{\Omega}\\u&=&0&&{\hspace{32}}{\text{in}}\;{\mathbb{R}}^n{\backslash}{\Omega}\end{eqnarray}\right$$ where 0 < s < 1, n > 2s, Ω is a bounded smooth domain of ℝn, (-∆)s is the fractional Laplacian of order s, V is the potential energy satisfying suitable assumptions and λ is a positive real parameter. The nonlinear term f is a positive nondecreasing convex function, asymptotically linear that is $\lim_{t{\rightarrow}+{\infty}}\;{\frac{f(t)}{t}}=a{\in}(0,+{\infty})$. We discuss the existence, uniqueness and stability of a positive solution and we also prove the existence of critical value and the uniqueness of extremal solutions. We take into account the types of Bifurcation problem for a class of quasilinear fractional Schrödinger equations, we also establish the asymptotic behavior of the solution around the bifurcation point.

The Ion-Exchange Properties of Synthetic Zeolite A from Domestic Kaolin (국산 고령토로 합성한 제올라이트 A의 이온교환성)

  • 김영대;김면섭
    • Journal of the Korean Ceramic Society
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    • v.18 no.2
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    • pp.91-98
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    • 1981
  • Synthetic zeolite A was prerared from domestic Hadong kaolin with sodium hydroxide solution and their ion exchange isotherms of $K^+$, $NH^{4+}$, $Li^+$ and $Ag^+$ ion were presented. The optimum reaction conditions for synthetic zeolite A from calcinated kaolin were 2 fold excess of 2N sodium hydroxide solution, 10$0^{\circ}C$ and 8 hours. It was observed that before the crystallization of zeolite A the samples reacted with sodium hydroxide solution had rather higher ion exchange capacities than zeolite A. The $K^+$-$Na^+$ and $Ag^+$$Na^+$ ion exchange isotherms were signoidal. The initial selectivity series was in the order $Ag^+$$K^+$>$Na^+$>$NH_4$>$Li^+$. Between approximately 33 and 67% replacement of soium ions the selectivity series became $Na^>$ and above 67% became $Ag^+$>$K^+$. Evidence were also presented to demonstrate that 8 out of 12 sodium ions per pseudo unit cell were not easily replaceable by lithium ions and 4 out of 12 not easily replaceable by ammonium ions.

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Biosorption of Heavy Metals by Saccharomyces uvarum (Saccharomyces uvarum에 의한 중금속 생체흡착에 관한 연구)

  • Ahn, Kab-Hwan;Suh, Kuen-Hack
    • Journal of Environmental Science International
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    • v.4 no.5
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    • pp.141-141
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    • 1995
  • The waste biomass of Sacchromyces uvarum, used in fermentation industries to produce ethanol, were studied for their ability to absorb various heavy metal ions. Heavy metal ions studied in this research were Cd, Co, Cr, Cu, Ni and Pb. The order of the sorption capacity was Pb>Cu>Co=Cr=Cd>Ni. The living Sacchromyces uvarum exhibited higher metal-uptake capacity than the dead Sacchromyces uvarum. After we compare the uptake capacity of the Sacchromyces uvarum for individual metal ions with for a mixture of them, the following was observed: in the mixed heavy metal solution the uptake capacity was decreased than the one heavy metal solution. The selective uptake was observed when all . the heavy metal ions were dissolved in a mixed solution. The adsorption isotherm modelling was decribed with the Langmuir and Freundlich model. The results were in good agreement with the Langmuir model.

Biosorption of Heavy Metals by Saccharomyces uvarum (Saccharomyces uvarum에 의한 중금속 생체흡착에 관한 연구)

  • 안갑환;서근학
    • Journal of Environmental Science International
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    • v.4 no.5
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    • pp.527-534
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    • 1995
  • The waste biomass of Sacchromyces uvarum, used in fermentation industries to produce ethanol, were studied for their ability to absorb various heavy metal ions. Heavy metal ions studied in this research were Cd, Co, Cr, Cu, Ni and Pb. The order of the sorption capacity was Pb>Cu>Co=Cr=Cd>Ni. The living Sacchromyces uvarum exhibited higher metal-uptake capacity than the dead Sacchromyces uvarum. After we compare the uptake capacity of the Sacchromyces uvarum for individual metal ions with for a mixture of them, the following was observed: in the mixed heavy metal solution the uptake capacity was decreased than the one heavy metal solution. The selective uptake was observed when all . the heavy metal ions were dissolved in a mixed solution. The adsorption isotherm modelling was decribed with the Langmuir and Freundlich model. The results were in good agreement with the Langmuir model.

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