Bloch wave homogenization of linear elasticity system
Sista Sivaji Ganesh, Muthusamy Vanninathan (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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...