Packing Structure and Mechanical Properties of Granulates
- 1 May 1990
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Engineering Mechanics
- Vol. 116 (5), 1077-1093
- https://doi.org/10.1061/(asce)0733-9399(1990)116:5(1077)
Abstract
The stiffness tensor relating the stress and strain in the generalized Hooke's law can take various forms depending upon the symmetry of the mechanical properties of the granular material. This material symmetry is expected to be closely related to the packing structure of the granular material. In this paper, the microstructural continuum method is employed to study the relationship between the symmetry of mechanical properties and the packing structure for random granular packings. The distribution density functions characterizing the packing structure are represented by spherical harmonics expansion. Closed‐form solutions for the stiffness tensor are derived for anisotropic granular packings of equal spheres with linear interparticle contact interactions. The relation between the “fabric” parameters describing the density functions and the material symmetry are discussed. Bounds imposed by the condition of positive definiteness of strain energy on fabric parameters are also studied. Parametric study is performed to show the effect of packing structure and contact stiffness on the mechanical behavior of a packing.Keywords
This publication has 14 references indexed in Scilit:
- Theoretical and Experimental Study of Regular Packings of GranulesJournal of Engineering Mechanics, 1989
- Micromechanical Aspects of Isotropic Granular Assemblies With Linear Contact InteractionsJournal of Applied Mechanics, 1988
- Micromechanical Modelling of Constitutive Relations for Granular MaterialStudies in Applied Mechanics, 1988
- Volume Change in Small Strain Axisymmetric Deformations of a Granular MaterialStudies in Applied Mechanics, 1988
- The effective elastic moduli of a random packing of spheresJournal of the Mechanics and Physics of Solids, 1987
- The relationship between the elasticity tensor and the fabric tensorMechanics of Materials, 1985
- Distribution of directional data and fabric tensorsInternational Journal of Engineering Science, 1984
- A statistical study of fabric in a random assembly of spherical granulesInternational Journal for Numerical and Analytical Methods in Geomechanics, 1982
- A Micromechanical Description of Granular Material BehaviorJournal of Applied Mechanics, 1981
- Poisson's ratio in orthotropic materials.AIAA Journal, 1968