The fractal crushing of granular materials. J MECH PHYS SOLIDS, 44. 2079-&. ISSN 0022-5096 Full text not available from this repository. Item Type: Article Uncontrolled Keywords: fracture fractals constitutive behaviour granular material probability ...

# the fractal crushing of granular materials

The fractal crushing of granular materials A study has been made of the micro mechanical origins of the irrecoverable compression of aggregates which comprise brittle grains. The terms "yielding" and "plastic hardening" are used in the discipline of soil mechanics to describe the post-elastic behaviour of granular …

A uniﬁed fractional breakage model for granular materials inspired by the crushing tests of dyed gypsum particles Chao-Min Shen, Ji-Du Yu, Si-Hong Liu, Hang-Yu Mao College of Water Conservancy ...

The fractal crushing of granular materials - ScienceDirect 1. Introduction. The packing characteristics of granular materials have been studied for over a century. It is generally accepted that the comparative density of any granular material is a function of particle ...

· Coarse granular materials are increasingly used as a fill or base material for offshore structures, dams and road subgrade. This material is basically large, angular, and granular rock obtained by blasting the parent rock [].The shear strength of granular rockfill is often ...

The terms "yielding" and "plastic hardening" are used in the discipline of soil mechanics to describe the post-elastic behaviour of granular media. These "plastic" phenomena are here related to the successive splitting of grains. Grains are taken to split probabilistically; the likelihood increasing with applied (macroscopic) stress ...

· According to the data of one-dimensional compression tests on quartz sand-gravel up to 204.8 MPa [39], the present paper examined the effects of particle size and initial PSD on the compression and crushing behaviors of granular geomaterials. In addition, the fractal ...

The fractal crushing of granular materials Journal of the Mechanics and Physics of Solids. VOL 44(NUMBER 12), 2079-2102 BOLTON, M.D. and MCDOWELL, G.R., 1996. Clastic mechanics In: IUTAM Symposium on mechanics of granular and porous materials. ...

Nondestructive Visualization and Quantification of 3-D Microstructure of Granular Materials and Direct Numerical Simulations Geo-Congress 2014 Technical Papers: Geo-Characterization and Modeling for Sustainability March 2014 Application of Fractal Theory ...

· Granular materials undergo particle crushing under the long-term load, which changes the particle size distribution (PSD) of the material, and then affects its mechanical properties, so the problem of its long-term stability issues is outstanding. Previous research indicated that the crushing characteristics of coral sand particles have an effect on the creep under constant load. In order to ...

Crushing Of Granular Materials The Consequence of Particle Crushing in Engineering Properties of Granular Materials written by Omar H. Al Hattamleh Hussien H. Al-Deeky Mohammad N. Akhtar published by International Journal of Geosciences Vol.4 No.

The fractal dimension was calculated for different grains constituting the samples before and after each test while studying its evolution after crushing. The results confirm that the fractal dimension affects the measurement of mechanical properties of the granular materials.

This chapter presents recent developments made by the author in providing an understanding of micromechanics of yielding and plastic hardening of granular materials and the role of particle crushing in determining the constitutive behaviour. It will be shown that there is nothing "special" about soil; breakfast cereals and pasta have normal compressionlines similar to soil. […]

The fractal crushing of granular materials ScienceDirect Crushing of granular materials 2095 suggests that if each of the particles is now to have the same probability of splitting, then (dV(uja,r d^ (42) (dl22 Or/ao)" ^oJ (32) (49) ie a = 1 If a 2, then clearly the larger particles have a greater probability of splitting, and this will tend to scavenge the larger particles out of the aggregate

Abstract A study has been made of the micro mechanical origins of the irrecoverable compression of aggregates which comprise brittle grains. The terms "yielding" and "plastic hardening" are used in the discipline of soil mechanics to describe the post-elastic behaviour of granular media. These "plastic" phenomena are here related to the successive splitting of grains. Grains are ...

2 30 1 Introduction 31 Particle crushing is a fundamental physical process underlying many macromechanical behaviors 32 of granular materials. It has great relevance to many fields including geotechnical, mining, 33 pharmaceutical and chemical

The Fractal Crushing Of Granular Materials Sciencedirect Journal of the Mechanics and Physics of Solids. Volume 44, Issue 12, December 1996, Pages 2079-2101. The fractal crushing of granular materials. Author links open overlay panel G.R. McDowell M.D ...

GRANULAR MATERIALS; LABORATORY AND FRACTAL ANALYSES Zamri Chik, Ph.D. University of Pittsburgh, 2004 Granular materials forming part of engineering structures such as rockfill dams, embankments, the base of flexible pavements and

Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar... | Explore the latest full-text research PDFs, articles ...

1 CRUSHING OF GRANULAR BASES: FRACTAL AND LABORATORY ANALYSES Luis E. Vallejo Associate Professor Department of Civil and Environmental Engineering University of Pittsburgh, USA E-Mail: [email protected] ABSTRACT Granular materials

Thus, the fractal nature of the intensity of the force chains and their distribution were found to be the main reason the granular materials developed a fractal size distribution when subjected to ...

· This paper presents a micro and macromechanical model to estimate the grading evolution and plastic strain caused by particle crushing in the isotropic compression of granular materials. A joint‐probability particle crushing criterion of the maximum contact force and the particle strength is proposed to calculate the incremental particle crushing probability.

A study has been made of the micro mechanical origins of the irrecoverable compression of aggregates which comprise brittle grains. The terms yielding and plastic hardening are used in the discipline of soil mechanics to describe the post-elastic behaviour of granular media. These plastic phenomena are here related to the successive splitting of grains.Grains are taken to split ...

The fractal crushing grading was also used as the upper boundary for definitions of breakage index (e.g., [25,26]) and also used as strength model for granular soils by Xu et al. [27]. ...

· 1. Introduction The packing characteristics of granular materials have been studied for over a century. It is generally accepted that the comparative density of any granular material is a function of particle shape, size range and size distribution (Burmister, 1938), however predictions for the density or porosity for a granular assembly are usually empirical, and are only semi-analytical at ...

In this study, the fractal dimension concept from fractal theory is used to evaluate: (a) the changes in shape, and (b) the crushing (fragmentation) of the original particles of gravel. It was determined that the fractal dimension of the profile of the particles decreased as a result of abrasion.

A uniﬁed fractional breakage model for granular materials inspired by the crushing tests of dyed gypsum particles Chao-Min Shen, Ji-Du Yu, Si-Hong Liu, Hang-Yu Mao College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing

· Snapshots of dyed gypsum particles of different initial sizes 110 111 2.1.2 One-dimensional compression tests 112 A series of one-dimensional compression tests on the DGPs were conducted by ...

· Fractal theory, which employs statistical concepts in order to explain particle crushing, may provide a solution to this problem. The particle size distributions are introduced to determine the fractal dimension. The relationship among the particle size, the crushing strength, crushing energy and the probability of survival of the particles are ...

Journal of the Mechanics and Physics of Solids 55 (2007) 2142–2156 Quantifying the extent of crushing in granular materials: A probability-based predictive method G. Marketos, M.D. Bolton Soil Mechanics Group, Engineering Department, University of Cambridge

· In this study, a series of mechanical tests (Proctor, Los-Angeles and Micro-Deval) are carried out on grains of local materials (limestone and shale), the degree of crushing of the grains has been quantified using the concept of fractal dimension.

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granular materials to develop a fractal size distribution. In the present study, a test designed to crush granular materials and its simulation using the Discrete Element Method (DEM) are developed to understand the mechanisms involved with the 2.1 Materials ...

· This study reports the crushing of a weak granular material during compression. Roasted chick peas were used to model granular materials. The chick peas were chosen because of their size, availability, and easiness of crushing under compression. A series of ...

When the initial grain size distribution of gypsum granular materials is fractal, the grain size distribution complies with fractal during compression under different confining pressures.

· The fractal crushing of granular materials J Mech Phys Solids, 44 (12) (1996), pp. 2079-2101 Article Download PDF View Record in Scopus Google Scholar Y. Nakata, M. Hyodo, A.F.L. Hyde, Y. Kato, H. Murata Microscopic particle crushing of sand subjected to ...

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