scholarly journals Boundary rigidity and filling volume minimality of metrics close to a flat one

2010 ◽  
Vol 171 (2) ◽  
pp. 1183-1211 ◽  
Author(s):  
Dmitri Burago ◽  
Sergei Ivanov
2018 ◽  
Vol 12 (03) ◽  
pp. 819-839 ◽  
Author(s):  
Nan Li ◽  
Raquel Perales

We study sequences of integral current spaces [Formula: see text] such that the integral current structure [Formula: see text] has weight [Formula: see text] and no boundary and, all [Formula: see text] are closed Alexandrov spaces with curvature uniformly bounded from below and diameter uniformly bounded from above. We prove that for such sequences either their limits collapse or the Gromov–Hausdorff and Sormani–Wenger Intrinsic Flat limits agree. The latter is done showing that the lower [Formula: see text]-dimensional density of the mass measure at any regular point of the Gromov–Hausdorff limit space is positive by passing to a filling volume estimate. In an appendix, we show that the filling volume of the standard [Formula: see text]-dimensional integral current space coming from an [Formula: see text]-dimensional sphere of radius [Formula: see text] in Euclidean space equals [Formula: see text] times the filling volume of the [Formula: see text]-dimensional integral current space coming from the [Formula: see text]-dimensional sphere of radius [Formula: see text].


Author(s):  
Naoto NAITO ◽  
Kenichi MAEDA ◽  
Hisashi KONNO ◽  
Yuji USHIWATARI ◽  
Kentaro SUZUKI ◽  
...  

2017 ◽  
Vol 865 ◽  
pp. 137-142
Author(s):  
Somchai Maneewan ◽  
Chantana Punlek ◽  
Hoy Yen Chan ◽  
Atthakorn Thongtha

Heat transfer performances of a pulsating heat pipe (PHP) having internal and external diameter with 4.5 mm and 6 mm with various contents of refrigerant are experimentally investigated. The working fluid as R404A refrigerant was filled in the volume ratios from 0% to 80% and the heat input was controlled in the range from 10 W to 80 W. Obtained results exhibited the ability of R404A refrigerant can enhance the thermal performance in steady state condition. The average temperature difference of the evaporating section and condensing section in the 80% filling volume ratio decreased from 9.5 °C to 2.5 °C when the heating power increase from 10 W to 80 W. The thermal resistance of evaporator and condenser decreased with an increase of the heat input as well. For other filling volume ratios, the trend of temperature difference and thermal resistance was similar to that of the 80% volume filling ratio. Considering the same heat input, the highest heat transfer performance was found at the 80% volume filling ratio. Refrigerant with a relatively low dynamic consistency can lead to relatively high velocity in the PHP that can reduce the temperature difference between the evaporating section and condensing section.


2016 ◽  
Vol 869 ◽  
pp. 314-319
Author(s):  
Breno D. Queiroz ◽  
Vitor L.P. Janzantti ◽  
José Donato Ambrósio

Nanocomposites of polyamide-6 with nanoSiO2 surface modified by 3-aminopropyltrimethoxysilane (3-APTMS) were prepared by melt blending in torque rheometer. Chemical modification of nanoparticles surface with 3-APTMS were observed by FTIR. Prior to nanocomposites processing, neat polyamide-6 (PA-6) was processed in a torque rheometer with varying processing parameters: polymer residence time in the chamber, rollers rotational speed, and polymer filling volume in the chamber. Two levels for each parameter were fixed. The influence of these parameters on degradation of PA-6 was determined by dilute solution viscosity and capillary rheometry. Results indicate that the best condition was achieved with the higher polymer residence time in the chamber, the higher rollers rotational speed, and the higher polymer filling volume in the chamber. With this information, PA-6 pellets were mixed with nanosilica particles unmodified and surface-capped by 3-APTMS via melt blending in torque rheometer, obtaining PA-6 composites with 1 wt.% of nanofillers. Mechanical and thermal properties of nanocomposites were evaluated by means of tensile test and differential scanning calorimetry (DSC).


2017 ◽  
Vol 63 (2) ◽  
pp. 177-186 ◽  
Author(s):  
Justin C Hotz ◽  
Cary T Sodetani ◽  
Jeffrey Van Steenbergen ◽  
Robinder G Khemani ◽  
Timothy W Deakers ◽  
...  

2020 ◽  
Vol 22 (4) ◽  
pp. 237-241
Author(s):  
Larissa Dolfini Alexandrino ◽  
Edwin Fernando Ruiz Contreras ◽  
Avacir Casanova Andrello ◽  
Giovani De Oliveira Corrêa

AbstractThe present study evaluated the marginal fit, the internal filling volume and the degree of porosity in cemented metallic total crowns. Then, 12 metal crowns cast in titanium (Ti) were made on bovine teeth with total preparations and 90° shoulder terminal line. The samples were divided into 4 groups according to the type of cement used and the cementation techniques, 2 groups were used Zinc phosphate (SS White) with the partial insertion of the cementing agent filling the inner crown surface (FP) and total filling (FT), and in the other 2 groups, dual resin cement (RelyX ARC 3M) with the partial insertion of cement (RP) and total insertion (RT) were used. The results showed that cervical marginal fit after cementation was clinically adequate in all groups (<100μm), and for the internal filling volume and porosity were: FP - 99.14% / 0.86%; FT = 98.82% / 1.18%; RP - 97.06% / 2.94% and RT - 97.76% / 2.24%. The statistical analysis was performed by Mann-Whitney test. In conclusion, the two types of cements obtained acceptable values of marginal fit, however, the zinc phosphate cement had better internal fill and lower porosity than the resin cement. Regarding the insertion technique, only the FP and FT groups had a statistically significant difference (p < 0.05) compared to the RP group. Keywords: Fixed Partial Denture. X-Ray Microtomography. Dental Cements. ResumoO presente trabalho avaliou o desajuste marginal, o volume de preenchimento interno e o grau de porosidade em cimentações de coroas totais metálicas. A partir de dentes bovinos com preparos periféricos totais e términos cervicais do tipo ombro de 90º, foram confeccionadas 12 coroas metálicas fundidas em titânio (Ti). As amostras foram divididas em 4 grupos de acordo com o tipo de cimento utilizado e as técnicas de cimentação, dentre estes, em 2 grupos foram usados Fosfato de zinco (SS White) com inserção parcial do agente cimentante preenchendo a superfície interna da coroa (FP) e preenchimento total (FT), e nos outros 2 grupos foram usados Cimento resinoso dual (RelyX ARC 3M) com inserção parcial do cimento (RP) e total (RT). As análises foram feitas por microtomografia computadorizada por raios X. Os resultados mostraram que o desajuste marginal cervical após a cimentação estava adequado clinicamente em todos os grupos (<100µm), e para o volume de preenchimento interno e porosidade foram respectivamente: FP – 99,14%/0,86%; FT – 98,82%/1,18%; RP – 97,06%/2,94% e RT – 97,76%/2,24%. Na análise estatística utilizou-se o teste de Mann-Whitney para amostras independentes. Concluiu-se que os dois tipos de cimentos obtiveram valores aceitáveis de desajuste marginal, contudo o cimento de fosfato de zinco apresentou melhor preenchimento interno e menor porosidade que o cimento resinoso. Em relação à técnica de inserção, apenas os grupos FP e FT tiveram diferença estatística significativa (p<0,05) comparado ao grupo RP. Palavras-chave: Prótese Parcial Fixa. Microtomografia por Raio-X. Cimentos Dentários.  


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