Granular Materials at Meso-scale

Towards a Change of Scale Approach

Granular Materials at Meso-scale

Bernard Cambou and Hélène Magoariec, Ecole Centrale de Lyon, France
Ngoc-Son Nguyen,University of Nantes, France

ISBN : 9781785480652

Publication Date : August 2016

Hardcover 194 pp

95.00 USD



An innovative multi-scale methodology of analyzing and modeling mechanical behavior of granular materials is explored in this book. Analysis at the meso-scale, rather than the traditional micro-scale, offers a new way to consider the change of scale approach. By defining meso-domains with similar textural characteristics, the dependence of the local stress and strain fields upon internal texture can be studied accurately. The link between the texture evolution of granular materials and their macroscopic mechanical behavior is then better understood.

A change of scale based on the meso-scale is proposed. To this end, a local constitutive elastic plastic model is built from local textural characteristics, then a general macroscopic law is defined by an averaging process. This law with constants defined by a monotonous loading is validated by a cyclic loading. The model obtained by this mesoscopic-macroscopic change of scale can be considered more efficient than phenomenological models.

Aimed at researchers and students in the field, this book offers a focussed investigation of the above techniques applied specifically to granular materials.


1. Previous Approaches and Motivation for the Use of the Meso-scale.
2. Definition of a Meso-scale for Granular Materials.
3. Texture, Stress and Strain at the Meso-scale.
4. Texture–Stress–Strain Relationship at the Meso-scale.
5. Change of Scale Based on Phenomenological Modeling at the Meso-scale.

About the authors/editors

Bernard Cambou is Emeritus Professor at Ecole Centrale de Lyon, France.
Hélène Magoariec is Assistant Professor at Ecole Centrale de Lyon, France.
Ngoc-Son Nguyen is Assistant Professor at the University of Nantes, France.