• Title/Summary/Keyword: differential forms

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The manufacture of poly(vinylidene fluoride) thin film through vapor deposition method (진공증착법을 이용한 PVDF 박막의 제작)

  • Park, S.H.;Im, U.C.;Han, S.O.;Jin, G.S.;Chung, H.D.;Park, K.S.;Lee, D.C.
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1190-1192
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    • 1995
  • Poly(vinylidene fluoride)(PVDF) is one of the most studied polymers in the latest date. The interest in PVDF lies in its remarkable piezoelectric and pyroelectric properties. Also, PVDF has at least four known crystalline structures(; they are referred to as the ${\alpha},\;{\beta},\;{\gamma}\;and\;{\alpha}_p$ phase or forms II, I, III and $IV_p$). In this study, the manufactured PVDF thin film through vapor deposition method had form II(; the glass at $70^{\circ}C$). This thin film was investigated by x-ray diffraction(XRD), Fourier Transform Infrared(FT-IR) spectroscopy and Differential Thermal Analysis(DTA). XRD and FT-IR indicate crystallization forms from the glass at $70^{\circ}C$ into form II.

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Dissolution of Glibenclamide Polymorphs (글리벤클라미드 결정다형의 용출)

  • Sohn, Young-Taek;Um, Bo-Young
    • Journal of Pharmaceutical Investigation
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    • v.27 no.3
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    • pp.233-239
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    • 1997
  • Glibenclamide is a second generation sulfonylurea that is orally active as a hypoglycemic drug. It exists as a crystalline powder which is sparingly soluble in water. It was investigated that the potential of glibenclamide to exhibit polymorphism. Three polymorphic modifications (form 1, form 2 and form 3) and three pseudopolymorphic modifications (form 4, form 5 and form 6) were obtained by crystallization from different organic solvents. The isolated crystal forms were characterized by differential scanning calorimetry(DSC), thermogravimetric analysis(TGA) and X-ray crystallography powder diffraction studies. Form 1 was the most stable and melt at $175.4^{\circ}C$. Form 2 was metastable and melt at $151.0^{\circ}C$. Form 3 was a new polymorphic modification because it was different from form 1 and form 2 in X-ray crystallography powder diffraction data. Form 4 was a 1 : 7(toluene : glibenclamide) toluene solvate; form 5 was a 1 : 5(toluene : glibenclamide) toluene solvate; form 6 was a 3 : 8(pentanol : glibenclamide) pentanol solvate. All forms were stable in 3-month storage under 0% or 100% humidity condition. The dissolution rate of form 4 was highest; those of form 2, form 3, form 1, form 5 and form 6 followed.

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Buckling of simply supported thin plate with variable thickness under bi-axial compression using perturbation technique

  • Fan, Haigui;Chen, Zhiping;Wang, Zewu;Liu, Peiqi
    • Structural Engineering and Mechanics
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    • v.70 no.5
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    • pp.525-534
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    • 2019
  • An analytical research on buckling of simply supported thin plate with variable thickness under bi-axial compression is presented in this paper. Combining the perturbation technique, Fourier series expansion and Galerkin methods, the linear governing differential equation of the plate with arbitrary thickness variation under bi-axial compression is solved and the analytical expression of the critical buckling load is obtained. Based on that, numerical analysis is carried out for the plates with different thickness variation forms and aspect ratios under different bi-axial compressions. Four different thickness variation forms including linear, parabolic, stepped and trigonometric have been considered in this paper. The calculated critical buckling loads and buckling modes are presented and compared with the published results in the tables and figures. It shows that the analytical expressions derived by the theoretical method in this paper can be effectively used for buckling analysis of simply supported thin plates with arbitrary thickness variation, especially for the stepped thickness that used in engineering widely.

Evaluating thermal stability of rare-earth containing wasteforms at extraordinary nuclear disposal conditions

  • Kim, Miae;Hong, Kyong-Soo;Lee, Jaeyoung;Byeon, Mirang;Jeong, Yesul;Kim, Jong Hwa;Um, Wooyong;Kim, Hyun Gyu
    • Nuclear Engineering and Technology
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    • v.53 no.8
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    • pp.2576-2581
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    • 2021
  • The thermal stability and crystallization behaviors of La2O3 containing B2O3-CaO-Al2O3 glass waste forms were investigated to evaluate the stability of waste form during emergencies in deep geological disposal. For glasses containing 15% La2O3, LaBO3 phases were observed as major crystals from 780 ℃ and exhibited needlelike structures. Al, Ca, and O were homogeneously distributed throughout the entire specimen, while some portions of B and La were concentrated in some parts. By differential thermal analysis at various heating rates, the activation energy for grain growth and the crystallization rate of LaBO3 were calculated to be 12.6 kJ/mol and 199.5 kJ/mol, respectively. These values are comparable to other waste forms being developed for the same purpose.

Thermal Transitions of the Drawn Film of a Nylon 6/Layered Silicate Nanocomposite

  • Park Soo-Young;Cho Yang-Hwan
    • Macromolecular Research
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    • v.13 no.2
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    • pp.156-161
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    • 2005
  • The thermal transitions of a nylon 6/layered silicate nanocomposite were studied by differential scanning calorimetry and in-situ synchrotron X-ray diffraction. The drawn film of the nylon 6/layered silicate nanocomposite typically showed three endotherms in the DSC thermogram; a very broad endotherm at $\sim120^{\circ}C(T_{1})$, a double-melting endotherm at $\sim215^{\circ}C(T_{2})$, and a high temperature endotherm at $\sim240^{\circ}C(T_{3})$. The drawn film of the nylon 6/ layered silicate nanocomposite was comprised of a mixture of the $\alpha and \gamma$ forms, with $the \alpha form$ being generated by drawing the pressed film having $the \gamma form$. The melting and crystallization of the crystals were observed at the above thermal transitions during the heating experiment performed at the Pohang X-ray synchrotron radiation source (4C2). The newly generated form was meta-stable and melted $at {\sim}T_{1}$. The double-melting $at {\sim}T_{2}$ was due to the exothermic crystallization of $the \alpha form$ during the main endothermic melting of $the \gamma form$. $The \alpha form$ crystallized $at {\sim}T_{2}$ and melted $at {\sim}T_{3}$.

Polymorphism of Clarithromycin

  • Sohn, Young-Taek;Rhee, Jae-Keol;Im, Weon-Bin
    • Archives of Pharmacal Research
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    • v.23 no.4
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    • pp.381-384
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    • 2000
  • It is well recognized that physicochemical properties of drugs are affected by the type of polymorphic crystalline form of drugs. Clarithromycin is known to exist in at least three polymorphic crystalline forms. Since conventional means to obtain the most thermodynamically stable form (Form II) for the antibiotics is known to be associated with a low purity of the stable form, we developed a novel method to improve the purity of the crystalline form by a modification of the preparation process. The new method involved a simple recrystallization of clarithromycin in solvents having 5-12 carbon atoms (e.g., hexane and heptane) or ethers with 4-10 carbon atoms (e.g., isopropyl ether) and, thus, less likely to be associated with the problem in purity of resulting crystal. Differential scanning calorimetry and powder X-ray diffraction were used to compare the crystalline form of the resultant powder with Form IIcrystal prepared by the conventional method. The crystal prepared by the new method was identical to Form IIcrystal of the conventional method as evidenced by the lack of the exothermic peak near 11$0^{\circ}C$ in differential calorimetry scan, indicating that Form IIcrystal could be readily prepared by the new process. Therefore, these data indicated that the improvement in the purity of the Form IIcrystal for clarithromycin as well as a significant cost reduction is likely by the novel method.

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Alkali-activated GGBS and enzyme on the swelling properties of sulfate bearing soil

  • Thomas, Ansu;Tripathia, R.K.;Yadu, L.K.
    • Geomechanics and Engineering
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    • v.19 no.1
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    • pp.21-28
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    • 2019
  • Use of cement in stabilizing the sulfate-bearing clay soils forms ettringite/ thaumasite in the presence of moisture leads to excessive swelling and causes damages to structures built on them. The development and use of non-traditional stabilisers such as alkali activated ground granulated blast-furnace slag (AGGBS) and enzyme for soil stabilisation is recommended because of its lower cost and the non detrimental effects on the environment. The objective of the study is to investigate the effectiveness of AGGBS and enzyme on improving the volume change properties of sulfate bearing soil as compared to ordinary Portland cement (OPC). The soil for present study has been collected from Tilda, Chhattisgarh, India and 5000 ppm of sodium sulfate has been added. Various dosages of the selected stabilizers have been used and the effect on plasticity index, differential swell index and swelling pressure has been evaluated. XRD, SEM and EDX were also done on the untreated and treated soil for identifying the mineralogical and microstructural changes. The tests results show that the AGGBS and enzyme treated soil reduces swelling and plasticity characteristics whereas OPC treated soil shows an increase in swelling behaviour. It is observed that the swell pressure of the OPC-treated sulfate bearing soil became 1.5 times higher than that of the OPC treated non-sulfate soil.

Solution of randomly excited stochastic differential equations with stochastic operator using spectral stochastic finite element method (SSFEM)

  • Hussein, A.;El-Tawil, M.;El-Tahan, W.;Mahmoud, A.A.
    • Structural Engineering and Mechanics
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    • v.28 no.2
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    • pp.129-152
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    • 2008
  • This paper considers the solution of the stochastic differential equations (SDEs) with random operator and/or random excitation using the spectral SFEM. The random system parameters (involved in the operator) and the random excitations are modeled as second order stochastic processes defined only by their means and covariance functions. All random fields dealt with in this paper are continuous and do not have known explicit forms dependent on the spatial dimension. This fact makes the usage of the finite element (FE) analysis be difficult. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used to represent these processes to overcome this difficulty. Then, a spectral approximation for the stochastic response (solution) of the SDE is obtained based on the implementation of the concept of generalized inverse defined by the Neumann expansion. This leads to an explicit expression for the solution process as a multivariate polynomial functional of a set of uncorrelated random variables that enables us to compute the statistical moments of the solution vector. To check the validity of this method, two applications are introduced which are, randomly loaded simply supported reinforced concrete beam and reinforced concrete cantilever beam with random bending rigidity. Finally, a more general application, randomly loaded simply supported reinforced concrete beam with random bending rigidity, is presented to illustrate the method.

Free Vibrations and Buckling Loads of Columns with Multiple Elastic Springs (여러 개의 스프링으로 탄성지지된 기둥의 자유진동 및 좌굴하중)

  • 이병구;이광범;오상진;이태기
    • Journal of KSNVE
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    • v.10 no.6
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    • pp.1067-1074
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    • 2000
  • Numerical methods for calculating both the natural frequencies and buckling loads of columns with the multiple elastic springs are developed. In order to derive the governing equations of such columns, each elastic spring is modeled as a discrete elastic foundation with the finite longitudinal length. By using this model, the differential equations governing both the free vibrations and buckled shapes, respectively, of such columns are derided. These differential equations are solved numerically. The Runge- Kutta method is used to integrate the differential equations, and the determinant search method combined with Regula-Falsi method is used to determine the eingenvalues. namely natural frequencies and buckling loads. In the numerical examples, the clamped-clamped. clamped-hinged, hinged-clamped and hinged-hinged end constraints are considered. Extensive numerical results including the frequency parameters, mode shapes of free vibrations and buckling load parameters are presented in the non-dimensional forms.

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Thermal and Structural Properties of Epoxy/Elastomer Blend (에폭시/엘라스토머 블렌드의 열적, 구조적 특성)

  • Lee, K.Y.;Lee, K.W.;Choi, Y.S.;Park, D.H.
    • Proceedings of the KIEE Conference
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    • 2004.07c
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    • pp.1667-1669
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    • 2004
  • In this paper, the elastic epoxy added elastomer having viscoelasticity to existing epoxy was measured thermal, structural properties by DSC (Differential Scanning Calorimetry) and FESEM (Field Emission Scanning Electron Microscope). Specimens were made of dumbbell forms by the ratio of 5, 10, 15, and 20[phr] by regulation with elastomer contents. The measurement temperature dimensions of DSC were -20[$^{\circ}C$] to 150[$^{\circ}C$] and rising temperature was 4[$^{\circ}C$/min]. Also we observed structure through FESEM at the magnification of 1000 times with the voltage of 15[kV] after breaking by quenching specimens. As experimental results, we could know that thermal and structural properties were improved quantity according to decrease of elastomer contents. Namely, it increased glass transition temperature, high temperature, and matrix structure. In general, thermal, structural properties of 15[phr] was excellent among the specimens.

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