Dresden 2003 – scientific programme

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DY: Dynamik und Statistische Physik

DY 43: Granular matter II

DY 43.1: Talk

Thursday, March 27, 2003, 11:15–11:30, G\"OR/229

Anisotropic material behavior in granular media — •Stefan Luding — Particle Technology, DCT, TUDelft, NL

From the structure of a static granular solid, we derive the stress-, the strain-, and the stiffness-tensor in average over pairs of interacting particles. Starting from a linear expansion of the interaction potential around static equilibrium, stress and strain can be derived from the principles of virtual displacement and virtual stress-change, respectively. The theory includes – besides anisotropy – also both normal and tangential forces, and the influence of the contributions is discussed separately.

The results are applied to a discrete particle simulation where the averaged micro-quantities on the contact-level can be compared to the macroscopic observations on the boundaries of the system. The examined system is a bi-axial box with constant confining stress horizontally and strain control vertically.

The simulations are finally related to experiments of a bi-axial box under the same deformation and stress state.