Volume 83, Number 6, September 2008
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||09 September 2008|
Nonlinear elastic Landau coefficients in heterogeneous materials
Department of Physics, University of Cagliari and Sardinian Laboratory for Computational Materials Science (SLACS, INFM-CNR) - Cittadella Universitaria, I-09042 Monserrato (CA), Italy, EU
Corresponding author: firstname.lastname@example.org
Accepted: 29 July 2008
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
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