journal article·2008-01

On Linear Elastic Fragmentation Mechanics Under Hydrostatic Compression

Nicola M. Pugno, Alberto Carpinteri

International Journal of Fracture· Volume 149· Issue 1
Publisher page

Abstract

In this letter we apply the Griffith’s energy balance of Linear Elastic Fracture Mechanics to predict the hydrostatic compressive strength of granular matter, as a first step towards a Linear Elastic Fragmentation Mechanics. The result is a simple law for the critical pressure, in strict analogy to the Griffith’s strength prediction, found to be mainly a function of the surface to volume ratio of particles. The influence of compaction and fragmentation evolution on the compressive strength is also quantified. Thus, this letter presents one possible approach to fragmentation mechanics.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: High-Velocity Impact and Material Behavior · Geotechnical and Geomechanical Engineering · Fluid Dynamics Simulations and Interactions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (15)

Show source-provided references
1. Griffith A.A. (1921) The phenomena of rupture and flow in solids. Philosophical Transaction of the Royal Society A 221: 163–19810.1098/rsta.1921.0006 ↗
2. Grady D.E. (1982) Local Inertial Effects in Dynamic Fragmentation. Journal of Applied Physics 53: 322–32510.1063/1.329934 ↗
3. Glenn L.A., Chudnovsky A. (1986) Strain-energy effects on dynamic fragmentation. Journal of Applied Physics 59: 1379–138010.1063/1.336532 ↗
4. Glenn L.A., Gommerstadt B.Y., Chudnovsky A. (1986) A fracture mechanics model of fragmentation. Journal of Applied Physics 59: 1379–138010.1063/1.336532 ↗
5. Pugno N. (2006) Dynamic Quantized Fracture Mechanics. Int. J. of Fracture 140: 159–16810.1007/s10704-006-0098-z ↗
6. von Rittinger R.P (1876) Textbook of mineral dressing. Ernst and Korn, Berlin
7. Kick F. (1883) Contribution to the knowledge of brittle materials. Dinglers Journal 247(1-5): 1883
8. [8] Bond F. C. (1952). The Third Theory of Comminution, Mining Engineering, 4 (Aime Trans 193), 484-494.
9. Carpinteri A., Pugno N. (2002a) One-, two- and three-dimensional universal laws for fragmentation due to impact and explosion. Journal of Applied Mechanics 69: 854–85610.1115/1.1488937 ↗
10. Carpinteri A., Pugno N. (2002b) A fractal comminution approach to evaluate the drilling energy dissipation. International Journal of Numerical and Analytical Methods in Geomechanics 26: 499–51310.1002/nag.209 ↗
11. Einav I. (2007a) Breakage mechanics. Part I – theory. Journal of the Mechanics and Physics of Solids 55: 1274–129710.1016/j.jmps.2006.11.003 ↗
12. Einav I. (2007b) Breakage mechanics. Part II – modelling granular materials. Journal of the Mechanics and Physics of Solids 55: 1298–132010.1016/j.jmps.2006.11.004 ↗
13. Einav I. (2007c) Fracture propagation in brittle granular matter. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463: 3021–303510.1098/rspa.2007.1898 ↗
14. Kendall K. (1978) The impossibility of comminuting small particles by compression. Nature 272: 710–71110.1038/272710a0 ↗
15. Nakata Y., Hyodo M., Hyde A.F.L., Kato Y., Murata H. (2001) Microscopic particle crushing of sand subjected to high pressure one-dimensional compression. Soils and Foundations 41: 69–8210.3208/sandf.41.69 ↗