• Title/Summary/Keyword: Expansion Method

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Development of SiC Composite Solder with Low CTE as Filling Material for Molten Metal TSV Filling (용융 금속 TSV 충전을 위한 저열팽창계수 SiC 복합 충전 솔더의 개발)

  • Ko, Young-Ki;Ko, Yong-Ho;Bang, Jung-Hwan;Lee, Chang-Woo
    • Journal of Welding and Joining
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    • v.32 no.3
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    • pp.68-73
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    • 2014
  • Among through silicon via (TSV) technologies, for replacing Cu filling method, the method of molten solder filling has been proposed to reduce filling cost and filling time. However, because Sn alloy which has a high coefficient of thermal expansion (CTE) than Cu, CTE mismatch between Si and molten solder induced higher thermal stress than Cu filling method. This thermal stress can deteriorate reliability of TSV by forming defects like void, crack and so on. Therefore, we fabricated SiC composite filling material which had a low CTE for reducing thermal stress in TSV. To add SiC nano particles to molten solder, ball-typed SiC clusters, which were formed with Sn powders and SiC nano particles by ball mill process, put into molten Sn and then, nano particle-dispersed SiC composite filling material was produced. In the case of 1 wt.% of SiC particle, the CTE showed a lowest value which was a $14.8ppm/^{\circ}C$ and this value was lower than CTE of Cu. Up to 1 wt.% of SiC particle, Young's modulus increased as wt.% of SiC particle increased. And also, we observed cross-sectioned TSV which was filled with 1 wt.% of SiC particle and we confirmed a possibility of SiC composite material as a TSV filling material.

Numerical Study of Non-Newtonian Flow Characteristics in Sudden Contraction-Expansion Channel (급축소-확대관에서 비뉴턴유체의 유동 특성에 관한 수치적 연구)

  • Kim, Hyung Min
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.6
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    • pp.591-597
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    • 2013
  • Because most existing non-Newtonian models are not suitable for application to the lattice Boltzmann method, theoretical and numerical studies in this regard remain challenging. In this study, the hydrokinetic (HK) model was modified and applied to a 3D sudden contraction-expansion channel flow, and the characteristics of the HK model flow were evaluated to generate non-trivial predictions in three-dimensional strong shear flows. The HK model is very efficient for application to the lattice Boltzmann method because it utilizes the shear rate and relaxation time. However, the simulation would be unstable in a high shear flow field because the local relaxation time sharply decreases with an increase in the shear rate in a strong shear flow field. In the HK model, it may become necessary to truncate the relaxation time and non-dimensional parameter to obtain stable numerical results.

Comparison of methods of approximating option prices with Variance gamma processes (Variance gamma 확률과정에서 근사적 옵션가격 결정방법의 비교)

  • Lee, Jaejoong;Song, Seongjoo
    • The Korean Journal of Applied Statistics
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    • v.29 no.1
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    • pp.181-192
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    • 2016
  • We consider several methods to approximate option prices with correction terms to the Black-Scholes option price. These methods are able to compute option prices from various risk-neutral distributions using relatively small data and simple computation. In this paper, we compare the performance of Edgeworth expansion, A-type and C-type Gram-Charlier expansions, a method of using Normal inverse gaussian distribution, and an asymptotic method of using nonlinear regression through simulation experiments and real KOSPI200 option data. We assume the variance gamma model in the simulation experiment, which has a closed-form solution for the option price among the pure jump $L{\acute{e}}vy$ processes. As a result, we found that methods to approximate an option price directly from the approximate price formula are better than methods to approximate option prices through the approximate risk-neutral density function. The method to approximate option prices by nonlinear regression showed relatively better performance among those compared.

Analysis for Characteristics Method on Wind Pressure of Trains Crossing in Tunnel (터널내 교행 열차의 풍압에 대한 특성법 해석)

  • Nam, Seong-Won
    • Journal of the Korean Society for Railway
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    • v.16 no.6
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    • pp.454-459
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    • 2013
  • Pressure waves are generated and propagate in a tunnel when train enters tunnel high speed. A compression wave due to the entry of train head propagates along the tunnel and is reflected at tunnel exit as an expansion wave. An expansion wave due to the entry of the train tail propagates along the tunnel and is reflected at tunnel exit as a compression wave. These pressure waves are repeatedly propagated and reflected at the tunnel entrance and exit. Severe pressure changes causes ear-discomfort for passengers in the cabin and micro pressure waves around the tunnel exit. It is necessary to analyze the transient pressure phenomena in tunnels qualitatively and quantitatively, because pressure change rate is considered as one of the major design parameters for optimal tunnel cross sectional area and repeated fatigue force on car body. In this study, we developed a characteristics method based on a fixed mesh system and boundary conditions for crossing trains and analyzed this system using an X-t diagram. The results of the simulation show that offsetting of pressure waves occurs for special entry conditions of a crossing train.

Characteristics Method Analysis of Wind Pressure of Train Running in Tunnel (터널을 주행하는 열차의 풍압에 대한 특성해법 해석)

  • Nam, Seong-Won;Kwon, Hyeok-Bin;Yun, Su-Hwan
    • Journal of the Korean Society for Railway
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    • v.15 no.5
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    • pp.436-441
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    • 2012
  • Pressure waves are generated and propagate in tunnel when train enters a tunnel with high speed. Compression wave due to the entry of train head propagates along the tunnel and is reflected at tunnel exit as expansion wave. While expansion wave due to the entry of train tail propagates along the tunnel and is reflected at tunnel exit as compression wave. These pressure waves are repeatedly propagated and reflected at tunnel entrance and exit. Severe pressure change per second causes ear-discomfort for passengers in cabin and micro pressure wave around tunnel exit. It is necessary to analyze the transient pressure phenomena in tunnel qualitatively and quantitatively, because pressure change rate is considered as one of major design parameters for an optimal tunnel cross sectional area and the repeated fatigue force on car body. In this study, we developed the characteristics method analysis based on fixed mesh system and compared with the results of real train test. The results of simulation agreed with that of experiment.

Preparation of Si/C Anode with PVA Nanocomposite for Lithium-ion Battery Using Electrospinning Method

  • Choi, Sung Il;Lee, Ye Min;Jeong, Hui Cheol;Jung, Eun-Jin;Lee, Mi Sun;Kim, Jinyoung;Kim, Yong Ha;Won, Yong Sun
    • Korean Chemical Engineering Research
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    • v.56 no.1
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    • pp.139-142
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    • 2018
  • Silicon (Si) is a promising anode material for next-generation lithium ion batteries (LIBs) because of its high capacity of 4,200 mAh/g ($Li_{4.4}Si$ phase). However, the large volume expansion of Si during lithiation leads to electrical failure of electrode and rapid capacity decrease. Generally, a binder is homogeneously mixed with active materials to maintain electrical contact, so that Si needs a particular binding system due to its large volume expansion. Polyvinyl alcohol (PVA) is known to form a hydrogen bond with partially hydrolyzed silicon oxide layer on Si nanoparticles. However, the decrease of its cohesiveness followed by the repeated volume change of Si still remains unsolved. To overcome this problem, we have introduced the electrospinning method to weave active materials in a stable nanofibrous PVA structure, where stresses from the large volume change of Si can be contained. We have confirmed that the capacity retention of Si-based LIBs using electrospun PVA matrix is higher compared to the conservative method (only dissolving in the slurry); the $25^{th}$ cycle capacity retention ratio based on the $2^{nd}$ cycle was 37% for the electrode with electrospun PVA matrix, compared to 27% and 8% for the electrodes with PVdF and PVA binders.

Characteristics of Wave by Additional Installation of Porous Dual Circular Caissons on the Existing Breakwater (기존 방파제에 투과성 이중 원형케이슨 추가설치에 따른 파랑 특성 분석)

  • Park, Min Su
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.6
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    • pp.396-410
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    • 2020
  • The design and the construction are carried out by installation of new caissons on the back or the front of existing caissons to increase the stability of existing caisson breakwater. In this study, we use the eigenfunction expansion method to analyze the effects of wave structure interaction when new porous dual circular caissons are installed on the back or the front of existing breakwater. The porous dual circular caisson which consisting of a porous outer cylinder circumscribing an impermeable inner cylinder is one type of seawater exchanging breakwater. The comparison of numerical results between present method and Sankarbabu et al. is made, and the wave force and the wave run-up acting on each porous dual circular caisson are calculated for various parameters by considering the wave structure interaction.

New Construction for Visual Cryptography Using the Cumulative Matrix (누적행렬을 이용한 ( k, n) 시각암호의 새로운 구성)

  • 김문수;박지환
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.11 no.6
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    • pp.15-26
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    • 2001
  • Visual cryptography is a simple method in which secret information can be directly decoded in human visual system without any cryptographic computations. When the secret image is scattered to n random shares(slides), this scheme has some week point such as pixel expansion and contrast degradation. Therefore, it is necessary to reduce the pixel expansion and improve the contrast in recovered image. In this paper, we propose a new construction method for (k, n) visual cryptography using the cumulative matrix. In case k is odd, we can construct the cumulative matrix perfectly. For even k, the contrast of special pair in decoded image can be achieved best by permitting multiple contract. The proposed method is more simple than that of S. Droste\`s in construction and the average contrast of decoded image is improved for the most part. Also, we show that the basis matrices depending on the cumulative matrix are able to be applied for the general access structure.

Characteristics of Wave on Circular Breakwater of Double Array by Various Porous Coefficients among Circular Caissons (원형케이슨들간의 공극률 변화에 따른 2열 배치 원형방파제에 작용하는 파랑 특성 분석)

  • Park, Min Su
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.32 no.6
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    • pp.420-433
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    • 2020
  • In order to increase the stability of existing breakwater, new caissons are installed on the back or the front of existing caissons. It is very important to evaluate wave force and wave run-up according to the change of porosity among caissons and the energy loss due to separation effects. In this study, we use the eigenfunction expansion method with Darcy's law, which describes the flow of a fluid through a porous plate, to analyze the characteristics of wave on circular breakwater of double array for various porous coefficients. To verify the numerical method, the comparison between present results and Sankarbabu et al. (2008) is made. The wave force and the wave run-up acting on each dual cylindrical caisson are calculated for various parameters by considering the energy loss and the change of porosity.

Thermal Design of High Power Semiconductor Using Insulated Metal Substrate (Insulated Metal Substrate를 사용한 고출력 전력 반도체 방열설계)

  • Bongmin Jeong;Aesun Oh;Sunae Kim;Gawon Lee;Hyuncheol Bae
    • Journal of the Microelectronics and Packaging Society
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    • v.30 no.1
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    • pp.63-70
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    • 2023
  • Today, the importance of power semiconductors continues to increase due to serious environmental pollution and the importance of energy. Particularly, SiC-MOSFET, which is one of the wide bandgap (WBG) devices, has excellent high voltage characteristics and is very important. However, since the electrical properties of SiC-MOSFET are heatsensitive, thermal management through a package is necessary. In this paper, we propose an insulated metal substrate (IMS) method rather than a direct bonded copper (DBC) substrate method used in conventional power semiconductors. IMS is easier to process than DBC and has a high coefficient of thermal expansion (CTE), which is excellent in terms of cost and reliability. Although the thermal conductivity of the dielectric film, which is an insulating layer of IMS, is low, the low thermal conductivity can be sufficiently overcome by allowing a process to be very thin. Electric-thermal co-simulation was carried out in this study to confirm this, and DBC substrate and IMS were manufactured and experimented for verification.