• Title/Summary/Keyword: shrinking

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RIGIDITY OF GRADIENT SHRINKING AND EXPANDING RICCI SOLITONS

  • Yang, Fei;Zhang, Liangdi
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.817-824
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    • 2017
  • In this paper, we prove that a gradient shrinking Ricci soliton is rigid if the radial curvature vanishes and the second order divergence of Bach tensor is non-positive. Moreover, we show that a complete non-compact gradient expanding Ricci soliton is rigid if the radial curvature vanishes, the Ricci curvature is nonnegative and the second order divergence of Bach tensor is nonnegative.

Development of CAD for Optimum Design Shrinked Cylindrical Dies by Fractional Fitting Pressure Approach (부분 접합면 압력을 이용한 원통금형의 최적설계용 CAD개발)

  • Son, Ju-Ri;Ryu, Gap-Sang;Sin, Jung-Ho
    • 한국기계연구소 소보
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    • s.18
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    • pp.137-146
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    • 1988
  • Shrink-rings (stress-rings) are used in the fabrication of compaction dies to increase the allowable pressures for a given die material. This paper proposes a new approach, where the maximum allowable shrinking pressures are calculated on shrinked plans in the radial direction and then the fractional fitting pressures below the maximum shrinking pressures are used as the design values. A computer program, DIECAD, is developed. The paper presents two design cases as examples in order to easily illustrate the design procedures from the computer program DIECAD

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Improved performance of multi tone masks by advanced compensation methods

  • Ekberg, Peter;Sydow, Axel Von
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.520-523
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    • 2009
  • The drive towards lowering costs and increasing frame rates results in new panel designs and thereby new photomasks designs. One common way to reduce cost is to reduce the number of production steps. For this multi tone photomasks (MTM) are needed. MTMs contain more information and increases photomask placement requirements. Increasing frame rates lead to shrinking geometries. The combination of HTM and shrinking geometries drastically increases the requirements imposed on the pattern generators used to print the photomasks. New methods are therefore needed to enable future photomask manufacturing. This paper introduces three advanced image quality enhancing methods.

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A Study on the Particle Reaction Models for Iron Ore Pellet Induration Process Modeling (철광석 펠릿 소성 공정 모형의 입자 반응 모델 적용에 관한 연구)

  • Ahn, Hyungjun;Choi, Sangmin
    • 한국연소학회:학술대회논문집
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    • 2015.12a
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    • pp.325-326
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    • 2015
  • Combustion of coke grains in a pellet used to be modeled using the shrinking core model in the previous indurator simulations. This leads to the discussions about its propriety due to the fundamental assumptions of the model inconsistent with the particle characteristics. The current study presents the grain model as an improvemen, and the differently used reaction models are compared. In addition, the simulations assuming changed particle conditions are conducted to display the effects of using the grain model.

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Feasibility of Shrinking Field Radiation Therapy through 18F-FDG PET/CT after 40 Gy for Stage III Non-Small Cell Lung Cancers

  • Ding, Xiu-Ping;Zhang, Jian;Li, Bao-Sheng;Li, Hong-Sheng;Wang, Zhong-Tang;Yi, Yan;Sun, Hong-Fu;Wang, Dong-Qing
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.1
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    • pp.319-323
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    • 2012
  • Objective: To explore the feasibility of shrinking field technique after 40 Gy radiation through 18F-FDG PET/CT during treatment for patients with stage III non-small cell lung cancer (NSCLC). Methods: In 66 consecutive patients with local-advanced NSCLC, 18F-FDG PET/CT scanning was performed prior to treatment and repeated after 40 Gy. Conventionally fractionated IMRT or CRT plans to a median total dose of 66Gy (range, 60-78Gy) were generated. The target volumes were delineated in composite images of CT and PET. Plan 1 was designed for 40 Gy to the initial planning target volume (PTV) with a subsequent 20-28 Gy-boost to the shrunken PTV. Plan 2 was delivering the same dose to the initial PTV without shrinking field. Accumulated doses of normal tissues were calculated using deformable image registration during the treatment course. Results: The median GTV and PTV reduction were 35% and 30% after 40 Gy treatment. Target volume reduction was correlated with chemotherapy and sex. In plan 2, delivering the same dose to the initial PTV could have only been achieved in 10 (15.2%) patients. Significant differences (p<0.05) were observed regarding doses to the lung, spinal cord, esophagus and heart. Conclusions: Radiotherapy adaptive to tumor shrinkage determined by repeated 18F-FDG PET/CT after 40 Gy during treatment course might be feasible to spare more normal tissues, and has the potential to allow dose escalation and increased local control.

Low-shrinking composites. Are they reliable for bonding orthodontic retainers?

  • Uysal, Tancan;Sakin, Caglar;AI-Qunaian, Talal
    • The korean journal of orthodontics
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    • v.41 no.1
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    • pp.51-58
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    • 2011
  • Objective: To evaluate the shear bond strength (SBS), fracture mode, wire pull out (WPO) resistance and microleakage between low-shrinking and conventional composites used as a lingual retainer adhesive. Methods: A total of 120 human mandibular incisor teeth, extracted for periodontal reasons, were collected. Sixty of them were separated into two groups. To determine the SBS, either Transbond-LR (3M-Unitek) or Silorane (3M-Espe) was applied to the lingual surface of the teeth by packing the material into standard cylindrical plastic matrices (Ultradent) to simulate the lingual retainer bonding area. To test WPO resistance, 20 samples were prepared for each composite where the wire was embedded in the composite materialand cured. Then tensile stress was applied until failure of the composite occurred. The remaining 60 teeth were divided into two groups and multi-stranded 0.0215-inch diameter wire was bonded with the same composites. Microleakage was evaluated by the dye penetration method. Statistical analyses were performed by Wilcoxon, Pearson chi-square, and Mann-Whitney-U tests at p < 0.05 level. Results: The SBS and WPO results were not statistically significant between the two groups. Significant differences were found between the groups in terms of fracture mode (p < 0.001). Greater percentages of the fractures showed mix type failure (85%) for Silorane and adhesive (60%) for Transbond-LR. Microleakage values were lower in low-shrinking composite than the control and this difference was found to be statistically significant (p < 0.001). Conclusions: Low-shrinking composite produced sufficient SBS, WPO and microleakage values on the etched enamel surfaces, when used as a lingual retainer composite.

Mechanical Properties Change of the Slacks Knee Part by the Bending Time (굽힘반복에 따른 슬랙스 무릎부위의 역학적특성 변화)

  • Lee, Joung-Suk;Kwon, Hyun-Sun;Sung, Su-Kwang
    • Fashion & Textile Research Journal
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    • v.6 no.4
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    • pp.497-502
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    • 2004
  • The mechanical properties of jean slacks to the type of cutting lines in knee region and the bending time, after doing bending 0 times, 500 times, and 1500 times, the effects of whether or not cutting line, the fabric direction of the cutting area, and the number of cutting lines were investigated for tensile, shearing, compression, and mixing value of mechanical properties. The results are as follows: EM to bending times were larger in order of weft

Drying and Shrinking Rate Equation of Root Vegetables (근채류의 수축 및 건조속도식)

  • Cho, Duck-Jae;Hur, Jong-Wha;Lee, Min-Kyu
    • Korean Journal of Food Science and Technology
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    • v.21 no.2
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    • pp.212-217
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    • 1989
  • The shrinking and overall drying rate equations which can accomodate experimental date and the rate of initial drying ratio were investigated. The results obtained from hot air drying experiments of radish and sweet potatoes were as follow. The drying rate constant and the order were affected by the thickness of sample and temperature. The empirical drying rate and shrinking equations at constant drying conditions (d=4mm, $Ta=50^{\circ}C$, RH=10%, U=0.8m/s) for radish and sweet potatoes were found to $dx/dt=0.112{\times}10^{-2}\;A(1-x)^{0.43}$, A=Ao(-0.480x+1) and rates of initial drying ratio were expressed of sample thickness, relative humidity and air velocity; for radish $dx/dt=0.0648(RH)^{-0.31}\;(d)^{-0.75}\;(U)^{0.39}$ and for sweet potatoes $dx/dt=0.0547(RH)^{-0.28}\;(d)^{-0.63}\;(U)^{0.37}$

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A Study on the Urban Spatial Policy for the Industrial Cities in Abandoned Mining Area Through the Analysis of the Actual Condition of Urban Shrinkage - A Case Study on Shrinking Cities in Abandoned Mining area by the Coal Industry Rationalization Policy (폐광지역 산업도시의 도시축소양상과 도시공간정책방안에 관한 연구 -석탄산업합리화조치에 따른 폐광지역 축소도시에 대한 사례 연구)

  • Chi, Eun Hee;Han, Dong Gyu;Jeoung, Chan Gu;Kang, Jun Mo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.42 no.1
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    • pp.135-144
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    • 2022
  • This paper aimed to analyze the type of urban shrinkage over the past 20 years for four case cities designated as abandoned mining area promotion zones and present the direction of future urban spatial policies through the analysis of shrinking status. According to the analysis of urban shrinkage in the past 20 years, all of the case cities were analyzed as fixed-type shrinking cities, showing a population decrease of more than 30% over the past 40 years compared to the peak population. Despite the decrease in population, the designated area of urbanization and non-urban areas is increasing every year, and the development permit and construction permit in non-urban areas are also increasing, requiring efficient management and operation of urban space. It is necessary to study military-level cities in the high-risk phase of extinction in the future, and to develop various indicators for segmentation of urban shrinkage types and analysis of status by type.

Numerical Study of Entropy Generation with Nonlinear Thermal Radiation on Magnetohydrodynamics non-Newtonian Nanofluid Through a Porous Shrinking Sheet

  • Bhatti, M.M.;Abbas, T.;Rashidi, M.M.
    • Journal of Magnetics
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    • v.21 no.3
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    • pp.468-475
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    • 2016
  • In this article, entropy generation on MHD Williamson nanofluid over a porous shrinking sheet has been analyzed. Nonlinear thermal radiation and chemical reaction effects are also taken into account with the help of energy and concentration equation. The fluid is electrically conducting by an external applied magnetic field while the induced magnetic field is assumed to be negligible due to small magnetic Reynolds number. The governing equations are first converted into the dimensionless expression with the help of similarity transformation variables. The solution of the highly nonlinear coupled ordinary differential equation has been obtained with the combination of Successive linearization method (SLM) and Chebyshev spectral collocation method. Influence of all the emerging parameters on entropy profile, temperature profile and concentration profile are plotted and discussed. Nusselt number and Sherwood number are also computed and analyzed. It is observed that entropy profile increases for all the physical parameters. Moreover, it is found that when the fluid depicts non-Newtonian (Williamson fluid) behavior then it causes reduction in the velocity of fluid, however, non-Newtonian behavior enhances the temperature and nanoparticle concentration profile.