Authors: Yuu, Shinichi¹; Umekage, Toshihiko²; Mitsuiki, Yasunori²; Koga, Fumitake²

Source: Advanced Powder Technology, Volume 19, Number 2, 2008 , pp. 153-182(30)

Publisher: VSP, an imprint of Brill

Abstract:

We have calculated three-dimensional (3-D) stresses and strains, and bulk density of cohesionless granular material using the distinct element method. Based on these data, 3-D stress and strain relations have been calculated, and constitutive equations for granular materials have been derived. Our 3-D constitutive equations cover the elastic, plastic and flow regions. A1-A4, which are strain size functions for each strain component, and nonlinear parts in the constitutive equations are represented by the functions of which the independent variable is only the strain size. Reference to a yield condition is not necessary. The friction coefficient of granular material is obtained automatically. Assuming Hooke's law in the elastic region, the modulus of elasticity E of glass bead granular material is 4.3 × 10⁵ Pa; E of glass which is a matrix of glass beads is 7.5 × 10¹⁰ Pa. These values roughly indicate the difference of mechanical characteristics between granular material and its matrix. The contribution of each term in the constitutive equations is large. Thus, 1-D stress strain relations are not able to extend to the usual 3-D stress-strain field. Simulation of real flow fields (the dynamics for the collapse of the granular layer and heap) using our constitutive relations by the smoothed particle hydrodynamics method and experimental verification are performed. Calculated results well describe details of the experimental collapse of the granular layer and the measured heap, including the early stage of collapse and the final heap formation.

Keywords: CONSTITUTIVE EQUATION; GRANULAR MATERIAL; NONLINEARITY; DISTINCT ELEMENT METHOD; SMOOTHED PARTICLE HYDRODYNAMICS

Document Type: Research article

DOI: http://dx.doi.org/10.1163/156855208X293808

Affiliations: 1: Ootake R & D Consultant Office, 508-27-17-1 Ootake, Higashiku, Fukuoka 811-0322, Japan 2: Department of Mechanical Engineering, Kyushu Institute of Technology, 1-1, Sensuicho, Tobataku, Kitakyushu 804-8550, Japan

Publication date: 2008-03-01

Related content

• In this: publication
• By this: publisher
• In this Subject: Chemistry (General) ,  Materials & Manufacturing
• By this author: Yuu, Shinichi ;  Umekage, Toshihiko ;  Mitsuiki, Yasunori ;  Koga, Fumitake

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers