Quantification of the crushing of grains by the calculation of the surfaces

References

• Becker, E., Chan, C. K., & Seed, H. B. (1972). Strength and deformation characteristics of rockfill materials in plane strain and triaxial compression tests (Report No. TE-72.3). Berkeley: Department of Civil and environmental Engineering, University of California.
   Google Scholar
• Biarez, J. (1962). Contribution à l’étude des propriétés mécanique des sols et des matériaux pulvérulents [Contribution to the study of the mechanical properties of soils and granular material] (Thèse d’état). Université scientifique et médicale de Grenoble, France.
   Google Scholar
• Biarez, J., & Hicher, P. Y. (1989). Lois de comportement des sols remaniés et des matériaux granulaires [Behavior’s laws of Revised Soils and granular Materials]. Tome 2: Modélisation Mécanique. Ecole Centrale, Paris.
   Google Scholar
• Biarez, J., & Hicher, P. Y. (1997) Influence de la granulométrie et de son évolution par ruptures de grains sur le comportement mécanique de matériaux granulaires [Influence of particle size and its evolution by fractures of grains on the mechanical behavior of granular materials]. Revue Française De Genie Civil. 1(4), 607–631.
   Google Scholar
• Billam, J. (1971). Some aspects of the behaviour of granular materials at high pressures. In Proceeding of the ROSCOE Memorial Symposium (pp. 69–80). Foulis, Henley: Cambridge University.
   Google Scholar
• Bishop, A. W. (1966). The strength of soils as engineering materials. Geotechnique, 16, 91–130.
   Web of Science ®Google Scholar
• Boubrit, H., & Melbouci, B. (2014). Modélisation des courbes granulométriques des matériaux granulaires et leurs évolutions sous écrasement [Modeling grain size distribution curves of granular materials and their evolutions under crushing]. Proc Journées nationales de géotechnique et de géologie de l’ingénieur JNGG2014. Beauvais; 8–10 Juillet 2014. http://www.geotech.fr.org/sites/default/files/congres/jngg/180.pdf.
   Google Scholar
• Cambou, B. (1972). Compressibilité d’un milieu pulvérulent. Influence de la forme et de la dimension des particules sur les propriétés mécaniques d’un milieu pulvérulent [Compressibility of a powdery medium. Influence of form and particle size on the mechanical properties of a granular] (Thèse de doctorat de spécialité). Université scientifique et médicale de Grenoble, France.
   Google Scholar
• Daouadji, A., & Hicher, P.-Y. (2010). An enhanced constitutive model for crushable granular materials. International Journal for Numerical and Analytical Methods in Geomechanics, 34, 555–580.
   Google Scholar
• DeSimone, A., & Tamagnini, C. (2005). Stress–dilatancy based modelling of granular materials and extensions to soils with crushable grain. International Journal For Numerical and Analytical Methods in Geomechanics, 29(1), 73–101.
   Web of Science ®Google Scholar
• Einav, I. (2007). Breakage mechanics—Part I: Theory. Journal of the Mechanics and Physics of Solids, 55(6), 127–129.
   Web of Science ®Google Scholar
• Frossard, E. (2012). Granular materials in Civil Engineering: recent advances in the physics of their mechanical behavior, and applications to engineering works. In P-.Y. Hicher (Ed.), Multiscale geomechanics – from soil to engineering projects (pp. 35–81). New York, NY: ISTE/Wiley.
   Google Scholar
• Frossard, E., Hu, W., Dano, C., & Hicher, P. Y. (2012). Rockfill shear strength evaluation: A rational method based on size effects. Géotechnique, 62(5), 415–428.
   Web of Science ®Google Scholar
• Frossard, E., Ovalle, C., Dano, C., Hicher, P.-Y., Maiolino, S., & Hu, W. (2013). Size effects due to grain crushing in rockfill shear strength. In Proceedings of the 18th International Conference on Soil Mechanics and Geotechnical Engineering (pp. 227–230). Paris: Presses des ponts.
   Google Scholar
• Fukumoto, T. (1990). A grading equation for decomposed granite soil. Soils and Foundations, 30(1), 27–34.
   Google Scholar
• Fukumoto, T. (1992). Particle breakage characteristics of granular soils. Soils and Foundations, 32(1), 26–40.
   Google Scholar
• Hardin, B. O. (1985). Crushing of soil particles. Journal of Geotechnical Engineering. ASCE, 111(10), 1177–1192.
   Google Scholar
• Hu, W. (2009). Contribution à l’étude de l’effet d’échelle dans les matériaux granulaires [Contribution to the study of the effect of scale in granular materials] (PhD thesis). Ecole Centrale de Nantes, France.
   Google Scholar
• Hu, W., Dano, C., Hicher, P.-Y., Le Touzo, J.-Y., Derkx, F., & Merliot, E. (2011). Effect of sample size on the behavior of granular materials. Geotechnical Testing Journal, 34(3), 186–197.
   Web of Science ®Google Scholar
• Huang, J., Xu, S., & Hu, S. (2013). Effects of grain size and gradation on the dynamic responses of quartz sands. International Journal of Impact Engineering, 59, 1–10.
   Web of Science ®Google Scholar
• Huang, J., Xu, S., & Hu, S. (2014). Influence of particle breakage on the dynamic compression responses of brittle granular materials. Mechanics of Materials, 68, 15–28.
   Web of Science ®Google Scholar
• Huang, J., Xu, S., & Hu, S. (2015). The role of contact friction in the dynamic breakage behavior of granular materials. Granular Matter, 17, 111–120.
   Web of Science ®Google Scholar
• Indraratna, B., Lackenby, J., & Christie, D. (2005). Effect of confining pressure on the degradation of ballast under cyclic loading. Geotechnique, 55, 325–328.
   Web of Science ®Google Scholar
• Kim, M. S. (1995). Etude expérimentale du comportement mécanique des matériaux granulaires sous fortes contraintes [Experimental study of the mechanical behavior of granular materials under high stress] (Thèse de doctorat). de l’Ecole Centrale de Paris, France.
   Google Scholar
• Kick, F. (1885). The laws of proportional resistance and their applications (pp. 48–61). Leibzig Germany: Verlag Arthur Felix.
   Google Scholar
• Lobo-Guerrero, S., & Vallejo, L., (2006). Modeling granular crushing in ring shear tests: experimental and numerical analyses. Soils and Foundations, 46, 147–157.
   Web of Science ®Google Scholar
• Lade, P., Yamamuro, J., & Bopp, P. (1996). Significance of particle crushing in granular materials. Journal Geotechnical Engineering, 122(4), 309–316.
   Google Scholar
• Lagioia. R., & Nova, R. (1995). An experimental and theoretical study of the behavior of a calcarenite in triaxial compression. Géotechnique, 45(4), 633–648.
   Web of Science ®Google Scholar
• LCPC & SETRA. (2000). Fascicule1: principes généraux; fascicule 2: Annexes. Guide technique, 2ième edition, Juillet 2000.
   Google Scholar
• Lecoq, O. (1997). Etude de la broyabilité de différents matériaux pulvérulents à l’aide d’un test d’impact à jet d’air [Study of the grindability of different granular materials with an air jet impact test] (Thèse de doctorat). Chemical and Process Engineering, de l’université de Technologie de Compiègne, France.
   Google Scholar
• Lee, D. M. (1992). The angles of friction of granular fills (PhD thesis). Cambridge University, Cambridge, UK.
   Google Scholar
• Lee, K. L., & Farhoomand, I. (1967). Compressibility and crushing of granular soil in anisotropic triaxial Compression. Canadian Geotechnical Journal, 4(1), 68–86.
   Google Scholar
• Lelong, C. (1968). Contribution à l’étude des proprieties mécaniques des sols sous fortes pressions (Thèse de doctorat). de l’université de Grenoble, France.
   Google Scholar
• Lo, K. Y., & Roy, M. (1973). Response of particulate materials at high pressures. Soils and Foundation, 13(1), 61–76.
   Google Scholar
• Luzzani, L., & Coop, M. R. (2002). On the relationship between particle breakage and the critical state of sands. Soils & Foundation, 42, 71–82.
   Web of Science ®Google Scholar
• Marachi, N. D., Chan, C. K., Seed, H. B., & Duncan, J. M. (1969) Strength and deformation characteristics of rockfills materials (Report No. TE-69-5). Department of Civil Engineering, University of California, Berkeley.
   Google Scholar
• Marsal, R. J. (1967). Large scale testing of rockfill materials. Journal of Soils Mechanics and Foundations Engineering Division ASCE, 93(SM 2), 27–43.
   Google Scholar
• Marsal, R. J. (1973). Mechanical properties of rockfill. Embankment – Dam Engineering (pp. 109–199). New York, NY: John Wiley & Sons.
   Google Scholar
• Marsal, R. J. (1977). Research on granular materials. In Experimental work compiled for the 9th international conference on soils, mechanics and foundations engineering (pp. 1–78). Tokyo: University of Tokyo.
   Google Scholar
• McDowell, G. R. (2001). Statistics of particle strength. Géotechnique, 51(10), 897–900.
   Web of Science ®Google Scholar
• McDowell, G. R., & Amon, A. (2000). The application of Weibull statistics to the fracture of soil particles. Soils and Foundation, 40(5), 133–141.
   Google Scholar
• McDowell, G. R., & Bolton, M. D. (1998). On the micromechanics of crushable aggregates. Géotechnique, 48(5), 667–679.
   Google Scholar
• Melbouci, B. (2006). Etude du phénomène d’écrasement des grains de schiste au compactage [Study of the crushing phenomenon of schist grains in compaction]. Revue Française de géotechnique, 117, 29–37.
   Google Scholar
• Melbouci, B., & Hannachi, N. E. (2002). Etude de l’écrasement des grains de pegmatite a l’essai oedométrique [Study of the crushing of pegmatite grains during the oedometric test]. Sols et Fondations. Annales du Bâtiment et des Travaux Publics, 4, 27–36.
   Google Scholar
• Melbouci, B., & Roth, J. C. (2006). Etude du comportement des matériaux concassés à l’écrasement [Study of the behavior of granular materials at crushing]. Matériaux. Annales du Bâtiment et des Travaux Publics, 67, 37–50.
   Google Scholar
• Miura, N., & O-Hara S. (1979). Particle crushing of a decomposed granite soil under shear stresses. Soils and Foundations, 19, 1–14.
   Google Scholar
• Miura, N., & Yamanouchi, T. (1977). Effect of particle crushing on the shear characteristics of a sand. Proceedings of Japanese Society of civil Engineers, 260, 109–118.
   Google Scholar
• Nimbalkar, S., Indraratna, B., Dash, S. K., & Christie, D. (2012). Improved performance of railway ballast under impact loads using shock mats. Journal of Geotechnical and Geoenvironmental Engineering, 138, 281–294.
   Web of Science ®Google Scholar
• Nobari, E., & Duncan, J. (1972). Effect of reservoir filling on stresses and movements in earth and rock fill dams (International Report N°.TE-72-1). University of California (pp. 1–186).
   Google Scholar
• Ovalle, C. (2013). Contribution à l'étude de la rupture des grains dans les matériaux granulaires [Contribution to the study the rupture of grain in materials granular] (Thèse de doctorat). Génie Civil École Centrale de Nantes, Biskra.
   Google Scholar
• Ratigan, J. L. (1981). A statistical fracture mechanics approach to the strength of brittle rock (PhD thesis). University of Berkeley, Berkeley.
   Google Scholar
• Ramamurthy, T., Kanitkar, V. K., & Prakash, K., (1974). Behaviour of coarse – Grained soils under high stresses. Indian Geotechnical Journal, 4, 39–63.
   Google Scholar
• Rittinger, R. P. (1867). Textbook of mineral processing (pp. 19–23). Berlin, Germany: Ernst & Sohn.
   Google Scholar
• Schuller, S. (2004). Localisation de la déformation et fracturation associée. Etude expérimentale et numérique sur des analogues de la lithosphére continentale [Strain localization and associated fracturing. Experimental and numerical study on analogues of the continental lithosphere] (Thèse de doctorat). Université de Rennes 1, France.
   Google Scholar
• Shahnazari, H., & Rezvani, R., (2013). Effective parameters for the particle breakage of calcareous sands: An experimental study. Engineering Geology, 159, 98–105.
   Web of Science ®Google Scholar
• Sowers, G. F., Williams, R. C., & Wallace, T. S. (1965). Compressibility of brocken rock and settlement of rockfills. In Proceedings of 6th ICSMFE, Montreal (Vol. 2, pp. 561–565).
   Google Scholar
• Vesic, A. S., & Clough, G. W. (1968). Behaviour of granular materials under high stresses. Journal of The Soil Mechanics and Foundations Divisions. ASCE, 94(SM 3), 661–688.
   Google Scholar
• Voivret, C. (2009). Texture et comportement des matériaux granulaires à grande polydispersité [Texture and behavior of granular materials with large polydispersity] (Thèse de doctorat). de l’université Montpellier 2.
   Google Scholar
• Wang, W., & Coop, M. R. (2016). An investigation of breakage behaviour of single sand particles using a high-speed microscope camera. Geotechnique, 66, 984–998.
   Web of Science ®Google Scholar
• Xiao, Y., & Liu, H. (2017). Elastoplastic constitutive model for rockfill materials considering particle breakage. International Journal of Geomechanics, 17, 04016041.
   Web of Science ®Google Scholar
• Xiao, Y., Liu, H., Chen, Y., Long, L., & Xiang, J. (2017). Evolution of particle breakage and volumetric deformation of binary granular soils under impact load. Granular Matter, 19(4). doi:10.1007/s10035-017-0756-z
   PubMed Web of Science ®Google Scholar
• Xiao, Y., Liu, H., Chen, Y., & Jiang, J. (2014). Bounding surface model for rockfill materials dependent on density and pressure under triaxial stress conditions. Journal of Engineering Mechanics, 140, 04014002.
   Web of Science ®Google Scholar
• Xiao, Y., Liu, H., Chen, Y., & Jiang, J. (2015). State-dependent constitutive model for rockfill materials. International Journal of Geomechanics, 15, 04014075.
   Web of Science ®Google Scholar
• Xiao, Y., Liu, H., Ding, X., Chen, Y., Jiang, J., & Zhang, W. (2016). Influence of particle breakage on critical state line of rockfill material. International Journal of Geomechanics, 16, 04015031.
   Web of Science ®Google Scholar