Mapping forces in a 3D elastic assembly of grains

Citation

M. Saadatfar, A.P. Sheppard, T.J. Senden, A.J. Kabla

Journal of the Mechanics and Physics of Solids 60:55-66 (2012)

Abstract

Our understanding of the elasticity and rheology of disordered materials, such as granular piles, foams, emulsions or dense suspensions relies on improving experimental tools to characterise their behaviour at the particle scale. While 2D observations are now routinely carried out in laboratories, 3D measurements remain a challenge. In this paper, we use a simple model system, a packing of soft elastic spheres, to illustrate the capability of X-ray microtomography to characterise the internal structure and local behaviour of granular systems. Image analysis techniques can resolve grain positions, shapes and contact areas; this is used to investigate the material’s microstructure and its evolution upon strain. In addition to morphological measurements, we develop a technique to quantify contact forces and estimate the internal stress tensor. As will be illustrated in this paper, this opens the door to a broad array of static and dynamical measurements in 3D disordered systems.

Figure sample

A sub-volume of the elastic ball compaction experiment. The contact zone between touching grains (dark patches) provides a measurement of contact force.