Nonlinear elastic Landau coefficients in heterogeneous materialsS. 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
received 25 June 2008; accepted in final form 29 July 2008; published September 2008
published online 9 September 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.
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.
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