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Mr. Li plans to beam Network of the World to cable operators in China, India and other Asian countries.
(iv) There are no long-ranged geometrical correlations in the beam network.
Each control volume is associated to a triple (or higher) junction in the beam network.
First the beam network is represented by an equivalent Cosserat continuum.
Their application is illustrated by analysis of the flow of vibrational energy through a beam network.
The skew-symmetric stresses of the Cosserat continuum over predict the beam network response at the surface.
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We analyze the dispersion of elastic waves in periodic beam networks based on second order gradient models obtained by the homogenization of the initially discrete network.
Periodic beam networks of Body-Centered Cubic (BCC) symmetry belong to the same family of cubic metamaterials as the well-known Face-Centered Cubic (FCC) octet truss lattice.
For detailed analysis of the underlying deformation mechanisms an energetically consistent continuization method was developed which links the forces and displacements of discrete beam networks to equivalent spatially continuous stress and strain fields.
Open image in new window Fig. 2 Stresses in the control volumes (left) and nearest-neighbor interpolation (right) in beam networks, system parameters: H=19Δp and β=0.3; top: compressive loading, bottom: shear loading; in the left-hand images the microstructure is shown in the background in grey.
Open image in new window Fig. 3 Averaged system response of beam networks with regular (β=0) and irregular (β=5) microstructures, simple shear loading by rigid displacement of the top and bottom surface by ± 0.025H, system height H=19; note the more rigid response of the disordered system.
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