Calculus of Variations and Geometric Measure Theory

A. Braides - A. Gloria

Exact bounds on the effective behaviour of a conducting `discrete' polycrystal

created by braidesa on 09 Oct 2006
modified on 02 Feb 2008


Published Paper

Inserted: 9 oct 2006
Last Updated: 2 feb 2008

Journal: Multiscale Modeling and Simulation
Volume: 6
Pages: 1198-1216
Year: 2007


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