Issue
EPL
Volume 83, Number 6, September 2008
Article Number 66003
Number of page(s) 5
Section Condensed Matter: Structural, Mechanical and Thermal Properties
DOI http://dx.doi.org/10.1209/0295-5075/83/66003
Published online 09 September 2008
EPL, 83 (2008) 66003
DOI: 10.1209/0295-5075/83/66003

Nonlinear elastic Landau coefficients in heterogeneous materials

S. Giordano, P. L. Palla and L. Colombo

Department of Physics, University of Cagliari and Sardinian Laboratory for Computational Materials Science (SLACS, INFM-CNR) - Cittadella Universitaria, I-09042 Monserrato (CA), Italy, EU

luciano.colombo@dsf.unica.it

received 25 June 2008; accepted in final form 29 July 2008; published September 2008
published online 9 September 2008

Abstract
We prove that the elastic fields within a generic nonlinear and anisotropic inhomogeneity embedded in a (linear and anisotropic) matrix are uniform. We apply this general result to the specific case of a dispersion of isotropic nonlinear spheres and we obtain a universal mixing scheme for the Landau coefficients. This scheme describes a complex scenario frequently found in material physics problems, where possible strong amplifications of the nonlinearities may arise in some given conditions.

PACS
62.25.-g - Mechanical properties of nanoscale systems.
62.23.Pq - Composites (nanosystems embedded in a larger structure).
81.40.Jj - Elasticity and anelasticity, stress-strain relations.

© EPLA 2008