Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 46, Issue 17, Pages 3257-3271Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.04.019
Keywords
Granular material; Meso-scale; Strain; Structure
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In this paper, we introduce a new scale called the meso-scale in order to define an appropriate local scale for multi-scale kinematic analysis in granular materials. The proposed meso-scale corresponds to sub-domains obtained by subdividing a 2D granular assembly taking into account load-bearing contacts. For each sub-domain, a strain tensor is defined and a description of its structure is proposed. Our analysis, carried out on a biaxial compression test, reveals that strain is significantly related to the structure at the meso-scale: (1) strain in the major (respectively, minor) principal compression direction is largest within the sub-domains which are elongated in the minor (respectively, major) principal compression direction, and (2) contractancy takes place within the sub-domains which are elongated in the minor principal compression direction whereas dilatancy takes place within the sub-domains which are elongated in the major principal compression direction. Furthermore, we emphasize a relation between strain at the meso-scale and the induced anisotropy of granular materials during deviatoric loading. (C) 2009 Elsevier Ltd. All rights reserved.
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