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3D composite specimens are modeled by using a mix of mortar and randomly distributed spheres of different sizes (gravels) to reproduce particle size distribution.
In previous work, a dynamics-based collective approach, the Quasi-Dynamics Method (QDM), has been proposed to generate densely distributed spheres in an enclosed container.
Three configurations are optimized analytically based on the intersection of asymptotes method: volumes filled with parallel-plates channels, volumes filled with uniformly distributed spheres, and volumes filled with parallel plates and porous structure in each parallel-plates channel.
This connection is valid not only for a composite sphere, but also for a matrix-based composite reinforced by many randomly distributed spheres of the same size, and can be viewed as an analog of Levin's formula for composites with surface effects.
Until the 400°C substrate temperature, the densely distributed spheres with several nanometers emerge, revealing that the Ni film melts into separated liquid spheres (Figure 3c).
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Furthermore, the Au half-spheres are perforated by randomly distributed air spheres.
Furthermore, a complicated two-level hierarchical nanostructure consisting of evenly distributed small spheres on the surface of a large sphere was found to have the virtues of both large and small spheres and therefore benefit the current enhancement considerably[5, 18].
The simulated nanosponges consist of a Au half-sphere (diameter 195 nm) perforated by randomly distributed air spheres of 24 nm diameter on an ITO substrate in air.
Poly (m-Phenylenediamine) was present as uniformly distributed submicron spheres with an average size of 850 ± 50 nm, whereas the poly (p-phenylenediamine) was present as non-uniform spheres with size in the range 600 ± 100 nm.
Assuming a material of two-phase elastic composite with randomly distributed elastic spheres is equivalent to a mixture of two elastic solids, we find the values of unknown coefficients by making use of Boussinesq problem.
Experiment was conducted on the threshold pressure for atmospheric air through unconsolidated narrow size distributed mini sphere and sand particles at low flow rates.
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