Local Elastic Fields in Granular Solids

J Boberski and L Brendel and DE Wolf, POWDERS AND GRAINS 2013, 1542, 433-436 (2013).

DOI: 10.1063/1.4811960

The modeling of the elastic properties of disordered or granular solids requires a theory of elasticity that takes non-affine deformations into account. Using a linearized force law, the non-affine elastic deformations are calculated. Based on the microscopically exact expressions for the local strain and stress fields, a way to calculate maps of the local linear elastic constants for fictional granular packings is presented. The elastic constants are found to be scale and system size independent withing an appropriate parameter range. Deviations from classical elasticity due to the micropolar nature of granular materials is studied.

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