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Parallel hexahedral meshing from volume fractions
Engineering with Computers, 2012In this work, we introduce a new method for generating Lagrangian computational meshes from Eulerian-based data. We focus specifically on shock physics problems that are relevant to Eulerian-based codes that generate volume fraction data on a Cartesian grid. A step-by-step procedure for generating an all-hexahedral mesh is presented.
Steven J. Owen +2 more
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The fallacy of high volume fraction
Composites, 1973Abstract There are theoretical as well as practical reasons why a high glass content in glass fibre reinforced plastics is not always desirable. An optimum glass content is calculated to give maximum flexural strength and stiffness for simple beams and plates, this content being governed by similar rules to those that apply for the optimum ...
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The Volume Fraction Concept in the Porous Media Theory
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1997AbstractIn this paper the volume fraction concept in the porous media theory is considered. First, the historical development of this important concept is traced. Thereupon, the concept of volume fractions is formulated and the transport theorems, which govern the transformations of volume elements from one placement to another, are derived.
Bluhm, Joachim, de Boer, Reint
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Extracellular Volume Fractions in Chronic Myocardial Infarction
Investigative Radiology, 2012The aim of this study was to assess and delineate chronic myocardial infarction (CMI) using precontrast and postcontrast T1 mapping techniques including quantification of extracellular volume fractions (ECVs).A total of 26 patients with CMI were examined at 1.5 T applying a modified Look-Locker Inversion Recovery sequence before and 10 minutes after ...
Kerstin Ulrike, Bauner +7 more
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Absorbed fractions for alpha particles in ellipsoidal volumes
Physics in Medicine and Biology, 2013Internal dosimetry of alpha particles is gaining attention due to the increasing applications in cancer treatment and also for the assessment of environmental contamination from radionuclides. We developed a Monte Carlo simulation in GEANT4 in order to calculate the absorbed fractions for monoenergetic alpha particles in the energy interval between 0.1
AMATO, ERNESTO +2 more
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Effect of volume fraction on granular avalanche dynamics
Physical Review E, 2014We study the evolution and failure of a granular slope as a function of prepared volume fraction, ϕ(0). We rotated an initially horizontal layer of granular material (0.3-mm-diam glass spheres) to a 45° angle while we monitor the motion of grains from the side and top with high-speed video cameras.
Gravish, Nick, Goldman, Daniel I.
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Constructal Design of Particle Volume Fraction in Nanofluids
Journal of Heat Transfer, 2009Abstract We perform a constructal design of particle volume fraction of four types of nanofluids used for heat conduction in four systems: a circular disk, a sphere, a plane slab, and a circular annulus. The constructal volume fraction is obtained to minimize system overall temperature difference and overall thermal resistance.
Wang, L, Bai, C
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Local Volume Fraction Fluctuations
2002One of the most important morphological descriptors of heterogeneous materials is the volume fraction of the phases or, in the case of porous media, the porosity (i.e., the volume fraction of the fluid phase). Although the volume fraction is constant for statistically homogeneous media, on a spatially local level it fluctuates.
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Anisotropic Surface Measures as Limits of Volume Fractions
2018In this paper we consider the new characterization of the perimeter of a measurable set in \(\mathbb {R}^{n}\) recently studied by Ambrosio, Bourgain, Brezis and Figalli. We modify their approach by using, instead of cubes, covering families made by translations of a given open bounded set with Lipschitz boundary.
Ambrosio, Luigi, Comi, Giovanni E.
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Volume fraction analysis of human coronal dentin
Calcified Tissue Research, 1969A systematic point-count method was utilized to determine the volume fractions of peritubular and intertubular matrix in human coronal dentin. Contrary to previous thought, it was found that peritubular dentin represents a relatively large fraction of human coronal dentin, particularly in the inner one-half of the dentin, where the relative volumes of ...
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