• Computers and Concrete
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• 제3권2_3호
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• pp.103-122
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• 2006

Drying shrinkage of concrete occurs due to the loss of moisture and thus, it is controlled by moisture diffusion process. On the other hand, the shrinkage causes cracking of concrete and affects its moisture diffusion properties. Therefore, moisture diffusion and drying shrinkage are two coupled processes and their interactive effect is important for the durability of concrete structures. In this paper, the two material parameters in the moisture diffusion equation, i.e., the moisture capacity and humidity diffusivity, are modified by two different methods to include the effect of drying shrinkage on the moisture diffusion. The effect of drying shrinkage on the humidity diffusivity is introduced by the scalar damage parameter. The effect of drying shrinkage on the moisture capacity is evaluated by an analytical model based on non-equilibrium thermodynamics and minimum potential energy principle for a two-phase composite. The mechanical part of drying shrinkage is modeled as an elastoplastic damage problem. The coupled problem of moisture diffusion and drying shrinkage is solved using a finite element method. The present model can predict that the drying shrinkage accelerates the moisture diffusion in concrete, and in turn, the accelerated drying process increases the shrinkage strain. The coupling effects are demonstrated by a numerical example.

• 콘크리트학회지
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• 제8권5호
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• pp.145-154
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• 1996

폴리머 시멘트 모르터는 보수성 및 방수성이 우수한 재료로서 모르터 내부의 수분의 확산거동 대한 연구는 중요하다. 본 연구에서는건조조건을 달리한 폴리머 시멘트 모르터의 수분확산에 영향을 미치는 상대습도와 내부함수율의 변화에 따른 수분의 확산계수와 건조수축과의 관계에 대해 고찰하였으며, 수분확산에 영향을 미치는 내부의 세공조직의 분포를 측정하였다. 본 실험결과, 폴리머 시멘트 모르터의 수분확산에 영향을 미치는 요인과 결과는 상호 상관관계를 나타내며, 건조수축과 수분확산계수는 보통 시멘트 모르터에 비해 아주 적었으며 상대습도, 폴리머 시멘트비 및 세공의 분포에 영향을 받는다.

• 한국구조물진단유지관리공학회 논문집
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• 제9권4호
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• pp.141-148
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• 2005

콘크리트가 외기에 노출되면 수분확산으로 인해 콘크리트 내에는 비선형 수분분포를 가진다. 이러한 비선형 수분분포는 부등건조수축을 야기시키고 콘크리트 표면에 수축균열을 일으키게 된다. 수축균열의 발생은 콘크리트 구조물의 내구성과 사용성에 영향을 미치게 되므로 근본적으로 수분확산에 대한 연구가 반드시 요구된다. 본 연구의 목적은 콘크리트 구조물의 수분확산을 지배하는 수분확산계수의 수정 모델식을 제안하는 것으로서 이를 위해 여러 가지 실험결과를 근거로 하여 수치해석을 수행하였다. 콘크리트의 수분확산계수는 재령에 따라 변화하며 특히, 초기재령에서 변화가 크게 나타난다. 본 연구에서 제안한 수분확산계수 모델식은 콘크리트의 습도뿐만 아니라 공극률의 함수로써 재령의 영향을 고려하였다.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2003년도 봄 학술발표회 논문집
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• pp.321-326
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• 2003

The nonlinear humidity distribution occurs due to the moisture diffusion when a concrete is exposed to an ambient air. These nonlinear humidity distribution induces shrinkage cracks on surfaces of the concrete. Because shrinkage cracks largely affect the durability and serviceability of concrete structures, the moisture diffusion in concrete must be investigated. The purpose of this paper is to propose a model of the moisture diffusion coefficient that governs moisture diffusion within concrete structures. To propose the model, numerical analysis were performed based on several experiments. Because the moisture diffusion coefficient is changed with aging, especially at early ages, the proposed model includes aging effect by terms of the porosity as well as the humidity of concrete.

• Journal of Biosystems Engineering
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• 제33권5호
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• pp.296-302
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• 2008

The effective moisture diffusivity and its dependence on drying temperature during drying of rapeseed were experimentally investigated. The data were recorded from thin layer drying experiments at nine different combinations of drying air temperatures of 40, 50, and $60^{\circ}C$ and the relative humidities of 30, 45, and 60%. The moisture diffusion equation was analyzed using stepwise multiple regression analysis. Effective moisture diffusivities were calculated based on the moisture diffusion equation for a spherical shape using Fick's second law. The effective diffusivities during the drying of rapeseed were $l.72{\times}10^{-11}$, $2.41{\times}10^{-11}$ and $3.31{\times}10^{-11}\;m^2{\cdot}s^{-1}$ at 40, 50 and $60^{\circ}C$, respectively. The activation energy for moisture diffusion during drying was $28.47\;kJ{\cdot}mol^{-1}$. The dependence of moisture diffusivity on temperature was described by an Arrhenius-type equation. Drying occurred in the falling rate period and the internal moisture diffusion phenomenon is the governing physical mechanism of the moisture movement in the particles.

• 펄프종이기술
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• 제34권3호
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• pp.17-24
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• 2002

An unsteady-state moisture diffusion through cellulosic fibers in paper was characterized from the moisture sorption experiment and the mathematical modeling. The sorption experiment was conducted by exposing thin dry paper specimens to a constant temperature-humidity environment. Oven dried blotting papers and filter papers were used as test samples and the gains of their weights were constantly monitored and recorded as a function of sorption time. For a mathematical approach, the moisture transport was assumed to be an one-dimensional diffusion in thickness direction through the geometrically symmetric structure of paper. The model was asymptotically simplified with a short-term approximation. It gave us a new insight into the moisture uptake phenomena as a function of square root of sorption time. The fiber-phase moisture diffusivities(FPMD) of paper samples were then determined by correlating the experimental data with the unsteady-state diffusion model obtained. Their values were found to be on the order of magnitude of $10^{-6}-10^{-7}cm^2$/min., which were equivalent to the hypothetical effective diffusion coefficients at the limit of zero porosity. The moisture sorption curve predicted from the model fairly agreed with that obtained from the experiment at some limited initial stages of the moisture uptake process. The FPMD value of paper significantly varied depending upon the current moisture content of paper. The mean FPMD was about 0.7-0.8 times as large as the short-term approximated FPMD.

• Advanced Composite Materials
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• 제17권4호
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• pp.359-372
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• 2008

The moisture absorption behavior of carbon fiber-reinforced plastic (CFRP) and its effect on dimensional stability were examined. Moisture diffusivity in CFRP was determined by measuring a specimen's weight during the moisture absorption test. Three types of CFRP specimens were prepared: a unidirectionally reinforced laminate, a quasi-isotropic laminate and woven fabric. Each CFRP was processed into two geometries - a thin plate for determination of diffusivity and a rod with a square cross-section for the discussion of two-dimensional diffusion behavior. By solving Fick's law expanded to 3 dimensions, the diffusivities in the three orthogonal directions were obtained and analyzed in terms of the anisotropy of CFRP moisture diffusion. Coefficients of moisture expansion (CMEs) were also obtained from specimen deformation caused by moisture absorption. During moisture absorption, the specimen surfaces showed larger deformation near the edges due to the distribution of moisture contents. This deformation was reasonably predicted by the finite element analysis using experimentally determined diffusivities and CMEs. For unidirectional CFRP, the effect of the fiber alignment on CME was analyzed by micromechanical finite element analysis (FEA) and discussed.

• 반도체디스플레이기술학회지
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• 제9권2호
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• pp.33-39
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• 2010

The moisture absorption properties such as diffusion coefficient and moisture content ratio of liquid type epoxy resin systems with the filler were investigated. Bisphenol A type and Bisphenol F type epoxy resin, Kayahard MCD as hardener and 2-methylimidazole as catalyst were used in these epoxy resin systems. The nano-sized spherical type fused silica as filler were used in order to study the moisture absorption properties of these liquid type epoxy encapsulant according to the change of filler size. The temperature of glass transition (Tg) of these epoxy resin systems was measured using Dynamic Scanning Calorimeter (DSC), and the moisture absorption properties of these epoxy resin systems according to the change of time were observed at $85^{\circ}C$ and 85% relative humidity condition using a thermo-hygrostat. The diffusion coefficients in these systems were calculated in terms of modified Crank equation based on Ficks' law. An increase of Tg and diffusion coefficient with filler size in these systems can be observed, which are attributed to the increase of free volume with Tg. The change of maximum moisture absorption ratio according to the filler size and filler content cannot be observed; however, the diffusion coefficients of these systems decreased with filler content. The diffusion via free volume is dominant in the epoxy resin systems with low nano-sized filler content; however, the diffusion with the interaction of absorption according the increase of the filler surface area is dominant in the liquid type epoxy encapsulant with high nano-sized filler content.

• Journal of the Korean Wood Science and Technology
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• 제17권3호
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• pp.67-81
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• 1989

This experiment was carried out to know the mothod of changing the step of moisture content schedule with time in conventional kiln drying. For the purpose of this object. we made drying model by applying the moisture diffusion model by J.FSiau(1984) to average moisture content equation by J.Crank(1956) derived it from Fick's second law. And to verify this method of drying model. 2.5cm-thick boards and 5.0cm-thick dimension lumbers of Pinus densiflora were kiln-dried with the schedule of T11-C3 and T10-C4, respectively. And then the drying rates were investigated and compared with those calculated from drying model. The results obtained were as follows 1. Average drying rate and total drying time of board to dry to 6.5% moisture content were 0.64%/hr and 109hr., and those of dimension lumber to dry to 8.3% moisture content were 0.4%/hr. and 162hr., respectively. 2. The moisture content of shell and core decreased by equalizing treatment and increased by conditioning treatment both on board and dimension lumber. But the moisture gradient was lower after conditioning than after equalizing. 3. As the drying was proceeded, the transverse bound water diffusion coefficient all but linearly decreased, the water vapor diffusion coefficient abruptly curvilinearly increased, while the transverse diffusion coefficient curvilinearly decreased both on board and dimension lumber. But each of diffusion coefficients on board was larger than that on dimension lumber. 4. Compared to experimential drying rate of board. theoretical drying rate was larger at 30.0%-21.8% moisture content range and was similiar at 21.8%-5.4% moisture content. And in case of dimension lumber, the drying rate was similiar at 30.0%-16.1% moisture content range but theoretical drying rate was much lower at 16.1%-8.3% moisture content range. 5. The possibility of adapting this drying model to changing the moisture content schedule step with time was in the range of 21.8%-5.4% moisture content on board. And in the case of dimension lumber that was in the range of 30.0%-16.1% moisture content.

• 한국식품과학회지
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• 제27권3호
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• pp.387-393
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• 1995

삼투건조시 물질이동 특성을 알아보기 위하여 수분과 용질의 이동을 확산식으로 평가하여 침지온도와 농도에 따른 영향을 조사하였으며 또한 품질변화 정도는 carotene 함량을 지표로 하여 반응속도식으로 구명하고자 하였으며 삼투공정시 수분의 이동을 기존의 건조모델로 표현하고자 적합도를 알아보았다. 수분손실이나 용질의 증가는 온도와 농도가 증가함에 따라 높은값을 보였으며 농도보다는 온도의 영향을 많이 받는 것으로 나타났다. 확산계수 또한 고온과 고농도에서 높은 값을 가져 확산이 빠르게 일어남을 알 수 있었다. 고온에서는 수분 손실이 용질의 증가보다 높아 용질의 확산계수가 수분의 확산계수보다 높았으며, 품질변화를 나타내는 반응속도상수는 온도의 증가보다 농도의 증가에 따라 더 큰 값을 가져 고농도에서 파괴가 많이 일어남을 알 수 있었다. 확산계수와 품질변화 속도상수에 대한 온도의 영향을 알아보고자 Arrhenius 식에 적합시켜 본 결과 낮은 농도인 $20^{\circ}Brix$에서 확산에 많은 활성화에너지가 필요하고 고농도인 $60^{\circ}Brix$에서는 상대적으로 낮은 활성에너지로도 용질의 확산이 일어난다는 것을 알 수 있었고 활성화 에너지의 크기로 보아 수분의 이동은 $40^{\circ}Brix$에서, 용질의 이동은 $60^{\circ}Brix$에서 이동이 효과적으로 일어남을 알 수 있었다. 침지온도와 농도를 독립변수로 하여 확산계수와 반응속도상수를 예측하고자 각 독립 변수의 최적함수를 구하여 수립한 최적 함수 모델식과 polynomial 형태로 모델화 하였을 경우 수분이나 용질의 확산계수는 높은 적합도를 결정계수를 가지나 품질변화를 나타내는 반응속도강수는 다소 낮아 온도와 농도의 함수로 예측하기에는 미흡한 것으로 나타났다. 삼투건조 공정 중 수분의 이동을 시간의 함수로 표현하기 위한 가장 적합한 모델은 quadratic 모델의 $R^{2}$값이 침지온도와 농도에 관계없이 전반적으로 0.99 이상으로 나타나 다른 모델보다 더 높은 적용 가능성을 보였다. 따라서 quadratic 모델을 이용하여 삼투건조공정에서의 시간에 따른 수분함량을 예측할 수 있으며 확산계수와 아울러 물질이동 특성을 나타낼 수 있을 것으로 생각된다.