Micromechanics of Granular Materials
Publication Date: May 2009 Hardback 368 pp.
This title’s main focus is devoted to static or dynamic loadings applied to dense materials, although rapid flows and widely dispersed media are also mentioned briefly.
Three essential areas are covered:
Local variable analysis:
Contact forces, displacements and rotations, orientation of contacting particles and fabric tensors are all examples of local variables. Their statistical distributions, such as spatial distribution and possible localization, are analyzed, taking into account experimental results or numerical simulations.
Change of scales procedures:
Also known as “homogenization techniques”, these procedures make it possible to construct continuum laws to be used in a continuum mechanics approach or perform smaller scale analyses.
Several methods designed to calculate approximate solutions of dynamical equations together with unilateral contact and frictional laws are presented, including molecular dynamics, the distinct element method and non-smooth contact dynamics. Numerical examples are given and the quality of numerical approximations is discussed.
1. Experimental and numerical analysis of local variables in granular materials, Fahrang Radjaï, Jack Lanier.
2. Stress tensor in granular media and in other mechanical collections, Jean-Jacques Moreau.
3. Multi-scale techniques for granular materials, Bernard Cambou, Ian Danescu, Denis Caillerie.
4. Numerical simulation of granular materials, Michel Jean.
5. Frictionless unilateral multibody dynamics, Patrick Ballard.