• Bulletin of the Korean Chemical Society
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• 제10권1호
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• pp.84-96
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• 1989

Applying the topological theory of rubber elasticity which was suggested by K. Iwata to the newly devised body-centered cubic lattice model, the authors calculated the values of four terms of the free energy to form polymer networks. Finding the projection matrix of the BCL model, and comparing this with the values of the simple cubic lattice (abbreviated to SCL hereafter) model of K. Iwata, the authors obtained the stress versus strain curves and found that the curves are in good agreement with the experimental results of poly(dimethyl siloxane) networks.

• Korean Journal of Mathematics
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• 제30권2호
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• pp.403-412
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• 2022

In this paper, we introduce the following cubic-quartic functional equation of the form $$f(x+4y)+f(x-4y)=16[f(x+y)+f(x-y)]{\pm}30f(-x)+\frac{5}{2}[f(4y)-64f(y)]$$. Further, we investigate the general solution and the Ulam stability for the above functional equation in non-Archimedean spaces by using the direct method.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2009년 추계학술대회논문집
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• pp.49-55
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• 2009

This paper evaluates performances of a recently developed divergence-free finite element method based on Hermite interpolated stream functions. Velocity bases are derived from Hermite interpolated stream functions to form divergence-free basis functions. These velocity basis functions constitute a solenoidal function space, and the simple gradient of the Hermite functions constitute an irrotational function space. The incompressible Navier-Stokes equation is orthogonally decomposed into a solenoidal and an irrotational parts, and the decoupled Navier-Stokes equations are projected onto their corresponding spaces to form proper variational formulations. To access accuracy and convergence of the present algorithm, three test problems are selected. They are lid-driven cavity flow, flow over a backward-facing step and buoyancy-driven flow within a square enclosure. Hermite interpolation functions from cubic to quintic are chosen to run the test problems. Numerical results are shown. In all cases it has shown that the present method has performed well in accuracies and convergences. Moreover, the present method does not require an upwinding or a stabilized term.

• Nuclear Engineering and Technology
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• 제14권4호
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• pp.178-185
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• 1982

중성자 다군 확산 방정식의 해를 구하기 위하여 albedo형 경계조건을 Hermite 3차 다항식에 의거한 유한요소법과 결합하였다. 중성자 확산문제에 흔히 이용되는 확산방정식의 weak form을 경계조건과 일치하도록 수정하였으며 또한 경계면에 접한 node영역에서의 요소함수 또한 수정 정의하였다. 수정된 유한요소법의 수치계산상의 효율성을 조사할 목적으로 2차원 ZION 가압경수형 원자로문제를 시험계산하고 그 결과를 기존의 다른 계산결과와 비교하였다.

• 한국정보처리학회논문지
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• 제6권3호
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• pp.758-765
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• 1999

Shape-preserving property is the important method that controls the complex free form curve/surface. Interpolation method for the existed Shape-Preservation had problems that it has needed the minimization of a curvature-related functions for calculating single-valued data. Solving this problem, in this paper, it proposed to the algorithm of generalizing C piecewise parametric cubic that has shape-preserving property for both Single-value data and Multivalue data. When there are the arbitrary tangents and two data, including shape-preserving property, this proposed method gets piecewise parametric cubic polynomial by checking the relation between the shape-preserving property and then calculates efficiently the control points using that. Also, it controls the initial shape using curvature distribution on curve segments.

• The Plant Pathology Journal
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• 제32권2호
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• pp.168-170
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• 2016

We previously found that the antibacterial activity of silver phosphate crystals on Escherichia coli depends on their structure. We here show that the cubic form of silver phosphate crystal (SPC) can also be applied to inhibit the growth of a plant-pathogenic Pseudomonas syringae bacterium. SPC pretreatment resulted in reduced in planta multiplication of P. syringae. Induced expression of a plant defense marker gene PR1 by SPC alone is suggestive of its additional plant immunity-stimulating activity. Since SPC can simultaneously inhibit P. syringae growth and induce plant defense responses, it might be used as a more effective plant disease-controlling agent.

• International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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• 제5권1호
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• pp.40-45
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• 2002

The calculation of earthwork plays a major role in the planning and design phases of many civil engineering projects, such as seashore reclamation; thus, improving the accuracy of earthwork calculation has become very important. In this paper, we propose an algorithm for finding a cubic spline surface with the free boundary conditions, which interpolates the given three-dimensional data, by using B-spline and an accurate method to estimate pit-excavation volume. The proposed method should be of interest to surveyors, especially those concerned with accuracy of volume computations. The mathematical models of the conventional methods have a common drawback: the modeling curves form peak points at the joints. To avoid this drawback, the cubic spline polynomial is chosen as the mathematical model of the new method. In this paper, we propose an algorithm of finding a spline surface, which interpolates the given data, and an appropriate method to calculate the earthwork. We present some computational results that show the proposed method, of the Maple program, provides better accuracy than the method presented by Chen and Lin.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2006년도 Asia Navigation Conference
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• pp.134-143
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• 2006

Out of all types of motions the critical motions leading to capsize is roll. The dynamic amplification in case of roll motion may be large for ships as roll natural frequency generally falls within the frequency range of wave energy spectrum typical used for estimation of motion spectrum. Roll motion is highly non-linear in nature. Den are various representations of non-linear damping and restoring available in literature. In this paper an uncoupled non-linear roll equations with three representation of damping and cubic restoring term is solved using a perturbation technique. Damping moment representations are linear plus quadratic velocity damping, angle dependant damping and linear plus cubic velocity dependant damping. Numerical value of linear damping coefficient is almost same for all types but non-linear damping is different. Linear and non-linear damping coefficients are obtained form free roll decay tests. External rolling moment is assumed as deterministic with sinusoidal form. Maximum roll amplitude of non-linear roll equation with various representations of damping is calculated using analytical procedure and compared with experimental results, which are obtained form forced tests in regular waves by varying frequency with three wave heights. Experiments indicate influence of non-linearity at resonance frequency. Both experiment and analytical results indicates increase in maximum roll amplitude with wave slope at resonance. Analytical results are compared with experiment results which indicate maximum roll amplitude analytically obtained with angle dependent and cubic velocity damping are equal and difference from experiments with these damping are less compared to non-linear equation with quadratic velocity damping.

• 한국응용과학기술학회지
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• 제31권3호
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• pp.478-485
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• 2014

이 연구는 경표피흡수를 위하여 큐빅액정의 자기조직체의 형성에 관한 것이다. 복수 수산기(-OH)를 가지는 친수부에 4개의 메칠 그룹을 가지는 양친매성지질인 diglyceryl phytylacetate (DGPA)를 합성하여 다양한 성능평가를 수행하였다. DGPA의 유화력은 1%의 적은 농도에서도 고 내상의 물을 함유하는 안정한 W/O water-in-oil)에멀젼이 유지되었다. DGPA, dimethicone (2CS), water의 3성분계의 특정영역에서, 안정한 큐빅상의 액정이 형성되었다. 3상 구조도 작성을 통하여 큐빅 액정영역, 헥사고날 영역, 물과 헥사고날이 혼제된 영역, 역미셀 영역을 확인하였고, SAXS (small angled x-ray scattering)분석을 통하여 그 구조를 증명하였다. 화장품의 응용으로, 큐보좀 (cubosome)에 10%의 마그네슘아스코르빌포스페이트, 5％의 피리독신트리헥사데카노에이트를 봉입하여 캡슐화하였다. 큐보좀의 occlusive 효과는 역미셀(reverse micelle)보다 1.7배 우수한 효과를 가졌다. 큐보좀을 분산제인 poloxamer를 사용하여 W/O 에멀젼을 만든 것으로부터 큐빅구조의 액정상으로 회복되는 것을 새롭게 발견하였다. 따라서, DGPA의 양친매성지질의 특성을 이용하여, 큐빅상의 액정을 형성하는 기재로써 화장품 산업과 의약품분야에서 경표피흡수제로써 응용이 가능할 것으로 기대된다.

• 한국정보처리학회논문지
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• 제7권4호
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• pp.1271-1278
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• 2000

A general curve and surface is a basic method to generate Free-form object using the fundamental properties of blending function. In typical method, there is an overhead of calculating to present Free-form object with the line segments and interpolation algorithm, In this paper, for resolving this problem efficiently, it will propose the flexible Free-form curves/surfaces using Ball curve shape-preserving property. This method includes Geometric Continuity that is needed to design Free-form Surface of high degree consisted with many curves. Also, when lots of data are reduced using Geometric Property of Free-form curves, the shape-preserving property of resulting object can be maintained, then it can represent any Free-form object with less calculating .