Yielding of granular materials

被引:58
作者
McDowell, GR [1 ]
Humphreys, A
机构
[1] Univ Nottingham, Sch Civil Engn, Nottingham NG7 2RD, England
[2] Univ Nottingham, Sch Civil Engn, Nottingham NG7 2RD, England
关键词
yield; fracture; micro mechanics; statistical analysis;
D O I
10.1007/s10035-001-0100-4
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper examines the yielding of brittle granular materials subjected to one-dimensional compression. For an aggregate of uniform grains, at low stresses there is negligible reduction in voids ratio, and at high stresses voids ratio reduces approximately logarithmically with stress as a distribution of particle sizes evolves. A suitable definition of yield would appear to be the point of maximum curvature on a plot of voids ratio against the logarithm of stress, corresponding to the onset of grain fracture. It is proposed that the yield stress is approximately proportional to the average or Weibull 37% tensile strength of the particles in the aggregate. One-dimensional compression tests were performed on aggregates of brittle breakfast cereals, (cornflakes, rice krispies) and pasta and compared with the results for a typical one-dimensional compression test on dense silica sand at much higher stress levels. In addition, the tensile strengths of 30 particles for each material were determined by compression between flat platens, and found to satisfy the Weibull distribution. It is found that if voids ratio is plotted against the logarithm of stress, then yield occurs at much lower stresses for the cereals and pasta than for the dense silica sand, typically by two orders of magnitude. However, if voids ratio is plotted against the logarithm of stress normalised by the Weibull 37% tensile strength of the constituent grains, then the yielding region for each material is approximately the same. This confirms the proposed definition of yield as suitable, and that the yield stress determined in this way is approximately proportional to the tensile strength of the grains. The constant of proportionality is in the range 0.1-0.3, and this is consistent with observed heterogeneous stress distributions in discrete element simulations.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 20 条
[1]  
[Anonymous], 2000, SOILS FOUND, DOI DOI 10.3208/SANDF.40.5_
[2]  
[Anonymous], 1969, CAHIERS GROUPE FRANC, DOI DOI 10.1007/978-1-4020-3629-3_15
[3]  
ASHBY MF, 1986, ENG MAT INTRO MICROS, P2
[4]   DISCRETE NUMERICAL-MODEL FOR GRANULAR ASSEMBLIES [J].
CUNDALL, PA ;
STRACK, ODL .
GEOTECHNIQUE, 1979, 29 (01) :47-65
[5]  
Golightly C.R., 1990, THESIS BRADFORD U
[6]  
Jaeger JC., 1967, Int. J. Rock Mech. Min. Sci. Geomech. Abstr, V4, P219, DOI [DOI 10.1016/0148-9062(67)90046-0, DOI 10.1016/0148-9062(67)90046]
[7]   On the validity of the Weibull failure model for brittle particles [J].
Jansen, U ;
Stoyan, D .
GRANULAR MATTER, 2000, 2 (04) :165-170
[8]  
Lee D.M., 1992, THESIS U CAMBRIDGE
[9]   On the micromechanics of crushable aggregates [J].
McDowell, GR ;
Bolton, MD .
GEOTECHNIQUE, 1998, 48 (05) :667-679
[10]   The fractal crushing of granular materials [J].
McDowell, GR ;
Bolton, MD ;
Robertson, D .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (12) :2079-&