Granular Materials at Meso-scale: Towards a Change of Scale Approach

Granular Materials at Meso-scale: Towards a Change of Scale Approach proposes a new way for developing an efficient change of scale-considering a meso-scale defined at the level of local arrays of particles. The change of scale is known to be a very interesting way to improve the modelling of mechanical behavior granular materials. In the past, studies have been proposed using a micro-scale at the grain level to perform change of scale, but limitations have been proven for these approaches.

Definition and analysis of the phases are detailed, constituted by sets of meso-domains sharing the same texture characteristics. The authors propose a local constitutive model for the phases, allowing the constitutive model of the representative elementary volume to be definied from a change-of-scale approach and, finally, presenting the validation of obtained modeling on cyclic loadings.

Proposes a new way for developing an efficient change of scale—considering a meso-scaleExplores local meso-domains and texture characteristicsDefines meso-strain and stressAnalyzes the evolution of these variables and texture characteristics in relation to the applied loading

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