Effect of Size Polydispersity on Micromechanical Properties of Static Granular Materials

被引:2
作者
Shaebani, M. R. [1 ,2 ]
Madadi, M. [3 ]
Luding, S. [4 ]
Wolf, D. E. [2 ]
机构
[1] Univ Saarland, Dept Theoret Phys, D-66041 Saarbrucken, Germany
[2] Univ Duisburg Essen, Dept Theoret Phys, D-47048 Duisburg, Germany
[3] Curtin Univ, Dept Explorat Geophys, Perth, WA 6845, Australia
[4] Univ Twente, CTW, Multi Scale Mech MSM, POB 217, NL-7500 AE Enschede, Netherlands
来源
POWDERS AND GRAINS 2013 | 2013年 / 1542卷
关键词
polydispersity; granular solids; fabric; micromechanics; DYNAMICS; PACKINGS;
D O I
10.1063/1.4812071
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
We analytically investigate the influence of particle size polydispersity on the micromechanical properties of granular packings. In order to approximate the macroscopic quantities in terms of the microscale details, we develop a mean-field approach. It is shown that the trace of the fabric and stress tensors, and the elements of the stiffness tensor can be expressed in terms of dimensionless correction factors (which depend only on the moments of the size distribution), besides the average packing properties such as packing fraction, mean coordination number, and mean normal force. The results of numerical simulations confirm the validity of our analytical predictions, as long as the size distribution is not too wide.
引用
收藏
页码:875 / 878
页数:4
相关论文
共 13 条
[1]   MICROMECHANICAL ASPECTS OF ISOTROPIC GRANULAR ASSEMBLIES WITH LINEAR CONTACT INTERACTIONS [J].
BATHURST, RJ ;
ROTHENBURG, L .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (01) :17-23
[2]   Constitutive relations for the isotropic deformation of frictionless packings of polydisperse spheres [J].
Goncu, Fatih ;
Duran, Orencio ;
Luding, Stefan .
COMPTES RENDUS MECANIQUE, 2010, 338 (10-11) :570-586
[3]   Searching for the perfect packing [J].
Herrmann, HJ ;
Baram, RM ;
Wackenhut, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 330 (1-2) :77-82
[4]   The non-smooth contact dynamics method [J].
Jean, M .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 177 (3-4) :235-257
[5]   On the fabric tensor of polydisperse granular materials in 2D [J].
Madadi, M ;
Tsoungui, O ;
Lätzel, M ;
Luding, S .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (9-10) :2563-2580
[6]  
Madadi M., 2005, POWDERS GRAINS
[7]   ON STATISTICAL DESCRIPTION OF STRESS AND FABRIC IN GRANULAR-MATERIALS [J].
MEHRABADI, MM ;
NEMATNASSER, S ;
ODA, M .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1982, 6 (01) :95-108
[8]  
MOREAU JJ, 1994, EUR J MECH A-SOLID, V13, P93
[9]   Equation of state and jamming density for equivalent bi- and polydisperse, smooth, hard sphere systems [J].
Ogarko, V. ;
Luding, S. .
JOURNAL OF CHEMICAL PHYSICS, 2012, 136 (12)
[10]   POROSITY OF A MASS OF SOLID PARTICLES HAVING A RANGE OF SIZES [J].
OUCHIYAMA, N ;
TANAKA, T .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1981, 20 (01) :66-71