Inserted: 9 oct 2006
Last Updated: 2 feb 2008
Journal: Multiscale Modeling and Simulation
In a recent paper by Braides and Francfort (Proc. R. Soc. Lond. A (2004) 460, 1755-1769), the problem of the characterization of the overall properties of lattice energies describing networks with arbitrary mixtures of two types of linear conductors has been addressed in a two-dimensional setting. In this paper we investigate the connection between that discrete optimization process and the theory of bounds for mixtures of continuum energies.
Keywords: Discrete energies, bounds, composite materials, polycrystals