• Computers and Concrete
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• 제3권4호
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• pp.249-260
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• 2006

Self-consolidating concrete (SCC) in the fresh state is known for its excellent deformability, high resistance to segregation, and use, without applying vibration, in congested reinforced concrete structures characterized by difficult casting conditions. Such a concrete can be obtained by incorporating either mineral or chemical admixtures. This paper presents the results of an investigation to asses the applicability of Abram's law in predicting the compressive strength of SCC to any given age. Abram's law is based on the assumption that the strength of concrete with a specific type of aggregate at given age cured at a prescribed temperature depends primarily on the water-to-cement ratio (W/C). It is doubtful that such W/C law is applicable to concrete mixes with mineral or chemical admixtures as is the case for SCC where water to binder ratio (W/B) is used instead of W/C as the basis for mix design. Strength data of various types of SCC mixtures is collected from different sources to check the performance of Abram's law. An attempt has been made to generalize Abram's law by using various optimization methodologies on collected strength data of various SCC mixtures. A set of generalized equations is developed for the prediction of SCC strength at various ages. The performance of generalized equations is found better than original Abram's equations.

• Steel and Composite Structures
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• 제39권5호
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• pp.493-509
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• 2021

There is not enough mixed finite element method (MFEM) model developed for static and dynamic analysis of functionally graded material (FGM) beams in the literature. The main purpose of this study is to develop a reliable and efficient computational modeling using an efficient functional in MFEM for free vibration and static analysis of FGM composite beams subject to high order shear deformation effects. The modeling of material properties was performed using mixture rule and Mori-Tanaka scheme which are more realistic determination techniques. This method based on the assumption that a two phase composite material consisting of matrix reinforced by spherical particles, randomly distributed in the beam. To explain the displacement components of the shear deformation effects, it was accepted that the shear deformation effects change sinusoidal. Partial differential field equations were obtained with the help of variational methods and then these equations were transformed into a novel functional for FGM beams with the help of Gateaux differential derivative operator. Thanks to the Gateaux differential method, the compatibility of the field equations was checked, and the field equations and boundary conditions were reflected to the function. A MFEM model was developed with a total of 10 degrees of freedom to apply the obtained functional. In the numerical applications section, free vibration and flexure problems solutions of FGM composite beams were compared with those predicted by other theories to show the effects of shear deformation, thickness changing and boundary conditions.

• 한국지반공학회논문집
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• 제23권11호
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• pp.39-48
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• 2007

지금도 불포화토의 특성곡선에 대한 연구는 계속 진행되고 있지만, 지금까지 발표된 특성곡선은 흙의 한가지 상태나 특성을 나타내도록 유도되어 광범위한 적용이 어려운 것은 사실이다. 따라서, 흙의 상태를 범용적으로 나타낼 수 있는 특성곡선을 개발하기 위해서는 현재까지 발표된 특성곡선의 적용성을 평가하여 문제점을 파악하는 것이 필요하다. 따라서 본 연구에서는 화강풍화토를 대상으로 함수특성곡선실험을 실시한 결과를 바탕으로 간극비에 따른 흙-수분 특성곡선 방정식을 분석하여 간극비에 따른 포화도를 예측하였으며 기존에 제안된 특성식에 대하여 적용성을 검증하였다.

• 자원환경지질
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• 제52권4호
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• pp.291-297
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• 2019

단열을 통한 유체의 유동은 선형유동이 우세하다는 가정아래 Navier-Stokes 방정식에서 유도된 Stokes 방정식, Reynolds 식(또는 local cubic law), cubic law 와 같은 방정식을 이용하여 해석되고 있다. 하지만 이러한 방정식은 선형 흐름에 국한되며, 비선형 유동영역에 적용하게 되면 오류가 발생한다. 본 연구에서는 레이저 계측기를 이용하여 정밀하게 측정한 3차원 단열 자료와 Navier-Stokes 방정식과 Stokes 방정식을 지배방정식으로 한 수치모델링을 수행함으로써 비선형 유동이 일어나는 현상과 임계 레이놀즈수를 제시하였다. 레이놀즈수가 10이상이 되면 유속의 제곱에 비례하는 관성력이 점성력을 충분히 압도할 정도로 커지면서 지하수 유동이 선형영역에서 비선형 유동영역으로 전환되는 것으로 분석되었다. 이는 평균 간극과 거친 정도가 다른 두 단열에서 모두 동일하게 나타났다. 비선형 유동의 발생기작은 소용돌이 구조의 발생과 성장에 의한 것으로 알려져 있지만, 본 연구결과 단순히 소용돌이 구조가 비선형 유동을 일으키는 아니라 유속이 증가하면서 관성력의 영향이 훨씬 큰 영향을 끼치게 되어 비선형 유동이 발생하는 것으로 나타났다.

• Nuclear Engineering and Technology
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• 제5권1호
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• pp.30-37
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• 1973

양극산화 피막의 임피단스(impedance)에 대한 니시다니식은 p-i-n 모델에 기초를 두고 $\omega$$\varepsilon$$\rho$$_{ο}$<<4$\pi$<<$\omega$$\varepsilon$$\rho$$_{\omega$}$의 가정하에서 유도된 것이다. 여기서 $\omega$는 각 주파수, $\varepsilon$는 유전상수, $\rho$$_{ο}$ and $\rho$$_{\omega}$는 양극산화피막의 계면과 중간영역의 비저항이다. 그러나 이 식의 파라데타를 전부 계산할 수 없기 때문에 이 식으로 양극산화피막의 물리적 모형을 분명히 할 수가 없다. 그러므로 $\omega$$\tau$$_{\omega}$1과 In(1+$\omega$$^2$$\tau$$^2$$_{ο}$)<<1이란 가정을 하여 임피단스에 대한 수정된 식을 유도하였다. 여기서 $\tau$$_{\omega}$=$\varepsilon$$\rho$$_{\omega}$/(4$\pi$) 및 $\tau$$_{ο}$=$\varepsilon$$\rho$$_{ο}$/(4$\pi$)로 정의된다. 양극산화피막을 가열하였을 때의 주파수톡성의 변화를 이 수정된 식으로 설명하였다. 양극산화피막을 가열하였을 매 양극산화피막의 임피단스의 변화는 주로 양극산화피막의 확산층의 증가와 비저항의 감소때문이라고 해석하였다.

• 대한수학회지
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• 제37권6호
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• pp.1059-1070
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• 2000

Under the critical assumption that ▽u$\in$L(sub)loc(sup)${\alpha}$,${\beta}$, 3/${\alpha}$ + 2/${\beta}$ $\leq$ 2 with ${\alpha}$ $\geq$ 3/2, a boundary L(sup)$\infty$ estimate for the solution is derived if the pressure on the boundary is bounded. Here, our estimate is local.

• 대한수학회지
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• 제37권6호
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• pp.1007-1019
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• 2000

In this paper, we discuss a uniqueness problem for the Cauchy problem of the Euler equation. W give a sufficient condition on the vorticity to show the uniqueness of a class of generalized solution in terms of the generalized solution in terms o the generalized Besov space. The condition allows the iterated logarithmic singularity to the vorticity of the solution. We also discuss the break down (or blow up) condition for a smooth solution to the Euler equation under the related assumption.

• 한국우주과학회:학술대회논문집(한국우주과학회보)
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• 한국우주과학회 2004년도 한국우주과학회보 제13권1호
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• pp.66-66
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• 2004

Observability of two spacecraft system is considered with relative line-of-sight vector measurements between two spacecraft system for autonomous navigation using the linear observability analysis. First, the dynamical equations and measurement models are introduced, and the basic assumption of attitude knowledge for one of two spacecrafts is explained. Then, we introduce a pair of nominal orbits of two spacecraft system, and the observability analysis for the nominal orbits is presented with the available measurements (for the numerical observability analysis). (omitted)

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제8권2호
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• pp.51-73
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• 2004

A boundary layer analysis is used to study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using the shooting method. The effects of various parameters of the problem, e.g. the magnetic parameter, Hall parameter, ion-slip parameter, buoyancy parameter and material parameter are discussed and shown graphically.

• 대한수학회지
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• 제39권1호
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• pp.91-102
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• 2002

Let M and N be CR manifolds with nondegenerate Levi forms of hypersurface type of dimension 2m ＋ 1 and 2n ＋ 1, respectively, where 1 $\leq$ m $\leq$ n. Let f : M longrightarrow N be a CR mapping. Under a generic assumption we construct a complete system of finite order for the infinitesimal deformations of f. In particular, we prove the space of infinitesimal deformations of f forms a finite dimensional Lie algebra.