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In this article, the homogenization process of periodic structures is analyzed using Bloch waves in the case of system of linear elasticity in three dimensions. The Bloch wave method for homogenization relies on the regularity of the lower Bloch spectrum. For the three dimensional linear elasticity system, the first eigenvalue is degenerate of multiplicity three and hence existence of such a regular Bloch spectrum is not guaranteed. The aim here is to develop all necessary spectral tools to overcome...
In this article, the homogenization process of periodic structures is analyzed using Bloch waves in the case of system of linear elasticity in three
dimensions. The Bloch wave method for homogenization relies on the regularity of the
lower Bloch spectrum. For the three dimensional linear elasticity system,
the first eigenvalue is degenerate of multiplicity three and hence
existence of such a regular Bloch spectrum is guaranteed. The
aim here is to develop all necessary spectral tools to overcome...
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