Stress-strain behavior and geometrical properties of packings of elongated particles

被引:182
作者
Azema, Emilien [1 ]
Radjai, Farhang [1 ]
机构
[1] Univ Montpellier 2, CNRS, LMGC, F-34095 Montpellier 05, France
来源
PHYSICAL REVIEW E | 2010年 / 81卷 / 05期
关键词
GRANULAR-MATERIALS; FORCE MEASUREMENTS; INDUCED ANISOTROPY; SHAPE; DYNAMICS; ASSEMBLIES; TRANSMISSION;
D O I
10.1103/PhysRevE.81.051304
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 [等离子体物理]; 070301 [无机化学];
摘要
We present a numerical analysis of the effect of particle elongation on the quasistatic behavior of sheared granular media by means of the contact dynamics method. The particle shapes are rounded-cap rectangles characterized by their elongation. The macroscopic and microstructural properties of several packings subjected to biaxial compression are analyzed as a function of particle elongation. We find that the shear strength is an increasing linear function of elongation. Performing an additive decomposition of the stress tensor based on a harmonic approximation of the angular dependence of branch vectors, contact normals, and forces, we show that the increasing mobilization of friction force and the associated anisotropy are key effects of particle elongation. These effects are correlated with partial nematic ordering of the particles which tend to be oriented perpendicular to the major principal stress direction and form side-to-side contacts. However, the force transmission is found to be mainly guided by cap-to-side contacts, which represent the largest fraction of contacts for the most elongated particles. Another interesting finding is that, in contrast to shear strength, the solid fraction first increases with particle elongation but declines as the particles become more elongated. It is also remarkable that the coordination number does not follow this trend so that the packings of more elongated particles are looser but more strongly connected.
引用
收藏
页数:17
相关论文
共 95 条
[1]
Amorphous solids: Their structure, lattice dynamics and elasticity [J].
Alexander, S .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 296 (2-4) :65-236
[2]
Role of anisotropy in the elastoplastic response of a polygonal packing -: art. no. 051304 [J].
Alonso-Marroquín, F ;
Luding, S ;
Herrmann, HJ ;
Vardoulakis, I .
PHYSICAL REVIEW E, 2005, 71 (05)
[3]
[Anonymous], 1990, SOIL BEHAV CRITICAL, DOI DOI 10.1017/CBO9781139878272
[4]
[Anonymous], 1982, P INT WORKSH CONST R
[5]
[Anonymous], HERON
[6]
Antony S. J., 2001, Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), V63, p011302/1, DOI 10.1103/PhysRevE.63.011302
[7]
Influence of particle shape on granular contact signatures and shear strength: new insights from simulations [J].
Antony, SJ ;
Kuhn, MR .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (21) :5863-5870
[8]
Short-time dynamics of a packing of polyhedral grains under horizontal vibrations [J].
Azema, E. ;
Radjai, F. ;
Peyroux, R. ;
Richefeu, V. ;
Saussine, G. .
EUROPEAN PHYSICAL JOURNAL E, 2008, 26 (03) :327-335
[9]
Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles [J].
Azema, E. ;
Radjai, F. ;
Saussine, G. .
MECHANICS OF MATERIALS, 2009, 41 (06) :729-741
[10]
Azema E., UNPUB