Second-order work analysis for granular materials using a multiscale approach
Article first published online: 14 FEB 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical and Analytical Methods in Geomechanics
Volume 37, Issue 17, pages 2987–3007, 10 December 2013
How to Cite
Nicot, F., Hadda, N. and Darve, F. (2013), Second-order work analysis for granular materials using a multiscale approach. Int. J. Numer. Anal. Meth. Geomech., 37: 2987–3007. doi: 10.1002/nag.2175
- Issue published online: 13 NOV 2013
- Article first published online: 14 FEB 2013
- Manuscript Accepted: 19 DEC 2012
- Manuscript Revised: 17 DEC 2012
- Manuscript Received: 10 JUL 2012
- large deformations;
- second-order work;
- granular materials;
It has been established that the second-order work criterion is a general necessary condition for all instabilities by divergence in rate-independent granular materials. The relation between the values of discrete second-order work at the intergranular contact point level and its global macroscopic value is recalled at the beginning of this paper. Then, the basic purpose of the paper is tackled by an analysis of the main features of second-order work criterion in relation with the granular microstructure. For that, it is considered a novel micromechanical model (the so-called ‘H-microdirectional model’), which has the property to involve three scales: grain scale, mesoscale with a specific granular configuration and continuum mechanics macroscale. Eventually, these exhibited features (a bifurcation stress domain and some instability cones) are qualitatively compared with the ones provided by direct numerical simulations issued from a discrete element model. The ultimate goal is to analyse what happens at the granular scale, when the macrosecond-order work is vanishing at the macrolevel. Copyright © 2013 John Wiley & Sons, Ltd.