• 열처리공학회지
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• 제32권1호
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• pp.17-28
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• 2019

Jominy hardenability curves of low alloy steel containing less than 5 wt.% of alloying elements in total were calculated by applying Scheil's rule of additivity to pre-calculated isothermal transformation curve. Isothermal transformation curve for each phase in steel was approximated as a simple mathematical equation by using Kirkaldy's approach and all coefficients in the equation were estimated from experimental temperature-time-transformation (TTT) and/or continuous cooling transformation (CCT) data in the literature. Then jominy test with simple boundary conditions was performed in computer by applying the finite difference scheme. The resultant cooling curves at each location along a longitudinal direction of Jominy bar were applied to calculate phase fractions as well as mechanical properties such as micro Vickers hardness. The simulated results were compared with experimental CCT data and Jominy curves in the literature.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제5권2호
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• pp.133-142
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• 1998

A simple mathematical theory is developed on the periodicity of elementary polar functions. The periodicity plays an important role in efficient plotting of some closed polar curves, without the excessive use of plotting devices and materials. An efficient plotting algorithm utilizing the periodicity is proposed and its implementation by a Mathematica program is introduced for a family of closed polar functions.

• 한국원자력학회:학술대회논문집
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• 한국원자력학회 1997년도 춘계학술발표회논문집(2)
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• pp.274-279
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• 1997

Breakthrough curves for separation of cesium and strontium binary components from aqueous solutions in fixed bed by chabazite and 13X were experimentally obtained and simulated the breakthrough curves for binary component adsorption. It is shown that agreements between model predictions and experimental data are relatively good although some deviations are observed. From engineering point of view, the simple model used here can be applied to simulate adsorption breakthrough curves satisfactorily.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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• pp.1422-1430
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• 2008

Cyclic simple shear test apparatus was used to investigate the dynamic response of liquefiable soils as reclamation material. The specimen were reclamation using simple air-pluviation method. The confining stress was applied the range of 100 kpa to 200 kpa. The resulted strain was in the range of $10^{-3}$ ~ 5 %. Based on these test results modulus reduction curve, damping curve and cyclic strength curve were developed. The developed curves were compared to those already available in literature. The obtained curves can be applied to FEM or equivalent linear analysis such as SHAKE for ground response analysis.

• 한국자기학회지
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• 제8권4호
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• pp.224-230
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• 1998

보자력의 차이를 나타내는 두 자성층으로 구성된 거대자기저항 스핀밸브 삼층박막의 자기저항곡선과 자기이력 곡선을 단층박막으로 형성된 자성층의 자기이력곡선을 이용하여 용이학게 해석되는 방법을 제시하고, 삼층박막의 자기저항 특성과 삼층박막을 이루는 각 자성층의 자기적 특성과의 관계를 고찰하였다. 4$^{\circ}$ 기울어진 Si(111) 기판과 유리 기판 위에 NiFe/Cu/Co 삼층박막을 형성하여 일축자기이방성의 존재 유무에 따른 2가지 경우에 대해, 스핀밸브 삼층박막의 측정된 자기이력 및 자기저항곡선을 단층박막으로 형성된 NiFe, Co의 자기이력곡선으로부터 계산된 곡선과 비교하였다. 거대자기저항을 나타내는 NiFe/Cu/Co 스핀밸브 삼층박막의 자기이력곡선은 동일한 기판 위에 형성된 NiFe, Co 단층박막의 자기이역곡선을 합성한 곡선과 일치하였으며, 자기저항곡선 또한 각 단층박막의 자기이력곡선에 단지이력곡선에 단자구 모델과 다자구 모델을 적용하여 모사된 곡선으로 이해될 수 있었다. 이는 스핀밸브 삼층단막을 다양한 응용 분야에 적용시 각 응용에 필요한 자기저항 특성을 얻는에 유용한 것으로 사료된다.

• Structural Engineering and Mechanics
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• 제9권4호
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• pp.375-382
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• 2000

Experimental investigation into the cyclic behaviour of sand plast brick masonry was performed on forty two square panels. The panels were subjected to cyclic uniaxial compression for two cases of loading: normal to bed joint and parallel to bed joint. Experimental data were used to plot the unloading-reloading curves for the entire range of the stress-strain curve. Mathematical expressions to predict the reloading and unloading stress-strain curves at various values of residual strain are proposed. A simple parabola and an exponential type formula are found adequate to model the unloading and reloading curves respectively. The models account for the potential effects of residual strain on these curves. Comparison of test results with the proposed mathematical expression shows good correspondence.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.241-251
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• 2005

In this paper, we introduce a new algebraic method to characterize rational PH plane curves. And using this method, we study the algebraic characterization of generic strongly regular rational plane PH curves expressed in the complex formalism which is introduced by R.T. Farouki. We prove that generic strongly semi-regular rational PH plane curves are completely characterized by solving a simple functional equation H(f, g) = $h^2$ where h is a complex polynomial and H is a bi-linear operator defined by H(f, g) = f'g - fg' for complex polynomials f,g.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제11권2호
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• pp.41-47
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• 2007

A fine segmentation algorithm is proposed for extracting objects in an image, which have both weak boundaries and highly non-convex shapes. The image has simple background colors or simple object colors. Two concepts, geometric attraction-driven flow (GADF) and edge-regions are combined to detect boundaries of objects in a sub-pixel resolution. The main strategy to segment the boundaries is to construct initial curves close to objects by using edge-regions and then to make a curve evolution in GADF. Since the initial curves are close to objects regardless of shapes, highly non-convex shapes are easily detected and dependence on initial curves in boundary-based segmentation algorithms is naturally removed. Weak boundaries are also detected because the orientation of GADF is obtained regardless of the strength of boundaries. For a fine segmentation, we additionally propose a local region competition algorithm to detect perceptible boundaries which are used for the extraction of objects without visual loss of detailed shapes. We have successfully accomplished the fine segmentation of objects from images taken in the studio and aphids from images of soybean leaves.

• 한국결정학회지
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• 제14권1호
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• pp.35-38
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• 2003

증기-확산 단백질 결정화의 물-증발 속도를 조절하기 위해서, 간결한 모세관 내의 다중-단계 농도 장착법 (multistep-concentration setting in capillaries) 이 이용되었다. “조절 용액 (regulatory solution)”이라고 일컬어지는 2차 침전 용액이 이용되어, 이 방법으로 다양한 증발 속도 곡선들이 얻어졌다. 이때, 조절 용액은 단백질 용액에 직접적으로 노출되지 않는다. 모델 단백질인 lysozyme의 결정화에 이 그래프들이 적용되었다. 결정 성장은 증발속도에 달려있다는 것을 실험 결과들이 명백하게 보여주었다. 특히나. 단백질 용액의 침전 농도가 어떤 점까지 증가하다가 평형 농도로 줄어드는 decoupling 곡선이 가장 좋은 결정들을 만들어냈다.

• 한국구조물진단유지관리공학회 논문집
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• 제8권1호
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• pp.157-164
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• 2004

강 소성 모델을 이용한 단순보의 손상곡선을 소성힌지를 발생시키는 정역학적 붕괴하중과 이상임펄스에 대한 하중최대치 비와 임펄스 비를 이용하여 작성하였다. 작성된 손상곡선으로부터 임펄스와 하중 최대치가 구조물의 안전에 중요 변수가 됨을 보였으며 또한, 하중최대치 비와 임펄스 비로 작성된 손상곡선은 하중작용시간과 하중의 형태 그리고 구조물의 동적 특성이 함께 고려된 기준으로, 등가 동하중에 초점을 맞추어 일괄적으로 구조물의 안전성을 판단할 수 있는 방법이다.