On the Dynamic Fragmentation of two Limestones using Edge-on Impact Tests

Two limestones are studied to compare the fragmentation pattern induced by dynamic loads. A quasi-static characterization allows one to determine the basic mechanical properties and to compare the two rocks in terms of Weibull parameters, indicators of microstructural differences. Edge-on impacts are performed and show the important role of the Weibull modulus in the fragmentation pattern. Simulations of these experiments are performed and validate the simple model proposed for rocks.

[1]  D. Marquis,et al.  A statistical approach to the rupture of brittle materials , 1992 .

[2]  François Hild,et al.  A damage model for the dynamic fragmentation of brittle solids , 2000 .

[3]  Lynn Seaman,et al.  Geomechanics abstract comminution of rocks Rock fracture under dynamic stressesFragmentation of rock under dynamic loads : 12F, 3T,17R. Int.J.Rock Mech.Min.Sci.V11, N8,Aug.1974,P303–317 , 1974 .

[4]  Gilles Pijaudier-Cabot,et al.  Experimental analysis of compaction of concrete and mortar , 2001 .

[5]  Donald R. Curran,et al.  Fragmentation of rock under dynamic loads , 1974 .

[6]  François Hild,et al.  Dynamic fragmentation of brittle solids: a multi-scale model , 2002 .

[7]  H. B. Li,et al.  Triaxial compression tests on a granite at different strain rates and confining pressures , 1999 .

[8]  C. Fairhurst,et al.  On the fracture process in blasting , 1971 .

[9]  L. E. Malvern,et al.  Rate Effects in Uniaxial Dynamic Compression of Concrete , 1992 .

[10]  Erik Asphaug,et al.  Impact Simulations with Fracture. I. Method and Tests , 1994 .

[11]  François Hild,et al.  Micro-mechanics and continuum damage mechanics , 1995 .

[12]  S. C. Hunter,et al.  The Dynamic Compression Testing of Solids by the Method of the Split Hopkinson Pressure Bar , 1963 .

[13]  L. D. Bertholf,et al.  Two-dimensional analysis of the split hopkinson pressure bar system☆ , 1975 .

[14]  H. Senf,et al.  Fracture propagation during impact in three types of ceramics , 1994 .

[15]  J. Klepaczko,et al.  An experimental method for dynamic tensile testing of concrete by spalling , 2001 .

[16]  L. E. Malvern,et al.  Dynamic Testing of Laterally Confined Concrete , 1990 .

[17]  Jean-Jacques Marigo,et al.  Un modèle de matériau microfissuré pour les bétons et les roches , 1986 .

[18]  L. G. Margolin,et al.  Elastic moduli of a cracked body , 1983 .

[19]  Arunachalam M. Rajendran,et al.  Modeling the impact behavior of AD85 ceramic under multiaxial loading , 1994 .

[20]  François Hild,et al.  The role of surface and volume defects in the fracture of glass under quasi-static and dynamic loadings , 2003 .

[21]  P. C. Den Reijer,et al.  Impact on ceramic faced armour , 1991 .

[22]  Jian Zhao,et al.  Experimental studies on the strength of different rock types under dynamic compression , 2004 .

[23]  M. E. Kipp,et al.  Continuum modelling of explosive fracture in oil shale , 1980 .

[24]  C. E. Cottenot,et al.  Post-mortem microstructural characterisation of SiC materials after interaction with a kinetic energy projectile , 1970 .

[25]  N. Mott,et al.  Fragmentation of shell cases , 1947, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[26]  François Hild,et al.  Dynamic Fragmentation of an Ultrahigh-Strength Concrete during Edge-On Impact Tests , 2008 .

[27]  Gérard Gary,et al.  Measurements of the dynamic behaviour of concrete under impact loading. , 1996 .

[28]  K. Trustrum,et al.  Statistical approach to brittle fracture , 1977 .

[29]  Dominique Jeulin,et al.  Fracture statistics of single-fibre composite specimens , 1993 .

[30]  Horacio Dante Espinosa,et al.  A finite deformation continuum\discrete model for the description of fragmentation and damage in brittle materials , 1998 .

[31]  R. J. Christensen,et al.  Split-hopkinson-bar tests on rock under confining pressure , 1972 .

[32]  R. P. Kennedy.  A review of procedures for the analysis and design of concrete structures to resist missile impact effects , 1976 .

[33]  D. A. Gorham,et al.  Specimen inertia in high strain-rate compression , 1989 .

[34]  S. L. Phoenix,et al.  Weibull strength statistics for graphite fibres measured from the break progression in a model graphite/glass/epoxy microcomposite , 1991 .

[35]  Yves Berthaud,et al.  THERMOMECHANICAL BEHAVIOUR OF MAGNESIA-CARBON REFRACTORIES , 1998 .

[36]  W. Weibull.  A statistical theory of the strength of materials , 1939 .

[37]  N. Kusano,et al.  Impulsive local damage analyses of concrete structure by the distinct element method , 1992 .

[38]  M. E. Kipp,et al.  Geometric statistics and dynamic fragmentation , 1985 .

[39]  F. A. Leckie,et al.  Creep problems in structural members , 1969 .

[40]  Andrew Nagy,et al.  The dynamic strength and fracture properties of dresser basalt , 1974 .

[41]  M. Ortiz,et al.  Computational modelling of impact damage in brittle materials , 1996 .

[42]  G. Gary,et al.  A testing technique for concrete under confinement at high rates of strain , 2008 .

[43]  Bruce Hebblewhite,et al.  Geomechanical behaviour of laminated, weak coal mine roof strata and the implications for a ground reinforcement strategy , 2004 .

[44]  Dominique Jeulin,et al.  Modeles morphologiques de structures aleatoires et de changement d'echelle , 1991 .

[45]  Fabrice Gatuingt,et al.  Prévision de la rupture des ouvrages en béton sollicités en dynamique rapide , 1999 .

[46]  François Hild,et al.  Effect of aluminum reinforcement on the dynamic fragmentation of SiC ceramics , 2003 .

[47]  Christophe Denoual,et al.  Visualization of the damage evolution in impacted silicon carbide ceramics , 1998 .

[48]  François Hild,et al.  On the probabilistic–deterministic transition involved in a fragmentation process of brittle materials , 2003 .

[49]  G. Gary,et al.  Behavior of rock salt in uniaxial compression at medium and high strain rates , 1991 .

[50]  Jean-François Molinari,et al.  Stochastic fracture of ceramics under dynamic tensile loading , 2004 .

[51]  Celal Karpuz,et al.  Rock variability and establishing confining pressure levels for triaxial tests on rocks , 2006 .

[52]  Dusan Krajcinovic,et al.  High-velocity expansion of a cavity within a brittle material , 1999 .

[53]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .