Experimental Data Highlighting the Role of Surface Fracture Energy in Quasi-Static Confined Comminution

Since the pioneering work of Griffith, Linear Elastic Fracture Mechanics has been widely experimentally validated and successfully developed in solid mechanics modeling. However, recent theoretical models applying the energy balance found in Griffith theory specifically for quasi-static confined comminution have until now not been systematically confronted to experiments. In this study, we analyze data of compression tests on crushable sand, where grain breakage has been triggered by flooding the initially dry material at constant stresses. We consider a partition of the dissipation between surface fracture energy and the rearrangement of fragments and grains surrounding crushed particles. Our results show that the role of the surface fracture energy is stressdependent and that its influence becomes less significant at high stresses.

[1]  Denis Vallet,et al.  Numerical model of crushing of grains inside two-dimensional granular materials , 1999 .

[2]  Norihiko Miura,et al.  PARTICLE-CRUSHING OF A DECOMPOSED GRANITE SOIL UNDER SHEAR STRESSES , 1979 .

[3]  Wei Hu,et al.  The effect of size on the strength of coarse rock aggregates and large rockfill samples through experimental data , 2014 .

[4]  Jun Xu,et al.  Lattice constant effects of photonic crystals on the extraction of guided mode of GaN based light emitting diodes , 2011 .

[5]  Pierre-Yves Hicher,et al.  An elastoplastic model for granular materials taking into account grain breakage , 2001 .

[6]  A. Schofield,et al.  Yielding of Clays in States Wetter than Critical , 1963 .

[7]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[8]  B. Atkinson.  Subcritical crack growth in geological materials , 1984 .

[9]  Itai Einav,et al.  Breakage mechanics—Part I: Theory , 2007 .

[10]  Glenn R. McDowell,et al.  A FAMILY OF YIELD LOCI BASED ON MICRO MECHANICS , 2000 .

[11]  Adrian R. Russell.  A compression line for soils with evolving particle and pore size distributions due to particle crushing , 2011 .

[12]  Adrian R. Russell,et al.  PARTICLE CRUSHING AND DEFORMATION BEHAVIOUR , 2010 .

[13]  Nasser Khalili,et al.  A bounding surface plasticity model for sands exhibiting particle crushing , 2004 .

[14]  Dennis E. Grady,et al.  Local inertial effects in dynamic fragmentation , 1982 .

[15]  M. Bolton,et al.  The fractal crushing of granular materials , 1996 .

[16]  J. Šancer,et al.  Measurement of Specific Fracture Energy and Surface Tension of Brittle Materials in Powder Form , 2009 .

[17]  J. Biarez,et al.  Influence de la granulométrie et de son évolution par ruptures de grains sur le comportement mécanique de matériaux granulaires , 1997 .

[18]  三浦 哲彦,et al.  Particle-crushing of a decomposed granite soil under shear stresses. , 1979 .

[19]  Giang D. Nguyen,et al.  The Energetics of Cataclasis Based on Breakage Mechanics , 2009 .

[20]  Pierre-Yves Hicher,et al.  A constitutive model for granular materials considering grain breakage , 2011 .

[21]  A. A. Griffith.  The Phenomena of Rupture and Flow in Solids , 1921 .

[22]  Hans J. Herrmann,et al.  Fragmentation of grains in a two-dimensional packing , 1998 .

[23]  Eduardo Alonso,et al.  A model for rockfill compressibility , 2001 .

[24]  Glenn R. McDowell,et al.  THE APPLICATION OF WEIBULL STATISTICS TO THE FRACTURE OF SOIL PARTICLES , 2000 .

[25]  Eduardo Alonso,et al.  Theoretical investigation of the time-dependent behaviour of rockfill , 2007 .

[26]  A. Carpinteri,et al.  On Linear Elastic Fragmentation Mechanics Under Hydrostatic Compression , 2008 .

[27]  N. Pugno,et al.  Dynamic quantized fracture mechanics , 2005, cond-mat/0504501.

[28]  Nieto Gamboa,et al.  Mechanical behavior of rockfill materials - Application to concrete face rockfill dams , 2011 .

[29]  Pierre-Yves Hicher,et al.  An enhanced constitutive model for crushable granular materials , 2010 .

[30]  Matthew Richard Coop,et al.  The intrinsic behaviour of a decomposed granite soil , 1995 .