Single and multiple fragmentation of brittle geomaterials

5. References

• Aveston , J. , Cooper , G. A. and Kelly , A. 1971 . “Single and Multiple Fracture” . National Physical Laboratory: Properties of Fiber Composites , : 15 – 26 . IPC Science and Technology Press, Surrey (UK)
   Google Scholar
• Aveston , J. and Kelly , A. 1973 . “Theory of Multiple Fracture of Fibrous Composites” . J. Mater. Sci. , 8 : 352 – 362 .
   Web of Science ®Google Scholar
• Balaguru , P. N. and Shah , S. P. 1992 . Fiber Reinforced Cement Composite New York, , USA : McGraw Hill .
   Google Scholar
• Batdorf , S. B. and Crose , J. G. 1974 . “A Statistical Theory for the Fracture of Brittle Structures Subjected to Polyaxial Stress States” . ASME J. Appl. Mech. , 41 : 459 – 465 .
   Web of Science ®Google Scholar
• Beremin , F. M. 1983 . “A Local Criterion for Cleavage Fracture of a Nuclear Pressure Vessel Steel” . Metallurgical Transactions A , 14 : 2277 – 2287 . A
   Web of Science ®Google Scholar
• Bluhm , J. I. 1969 . “Fracture Arrest” . In Fracture Vol. V , 1 – 63 . New York, , USA : Academic Press .
   Google Scholar
• Brajer , X. , Hild , F. , Roux , S. and Gy , R. 2002 . “Behavior of soda-lime glasses impacted by a soft bullet: experimental and numerical investigations” . 14th Dymat Technical Meeting , : 35 – 44 . EURODYMAT
   Google Scholar
• Brara , A. and Klepaczko , J. 2001 . “An Experimental Method for Dynamic Tensile Testing of Concrete by Spalling” . Int. J. Impact Eng. , 25 : 387 – 409 .
   Google Scholar
• Camacho , G. T. and Ortiz , M. 1996 . “Computational Modelling of Impact Damage in Brittle Materials” . Int. J. Solids Struct. , 33 ( No. 20–22 ) : 2899 – 2938 .
   Google Scholar
• Davies , D. G.S. 1973 . “The Statistical Approach to Engineering Design in Ceramics” . Proc. Brit. Ceram. Soc. , 22 : 429 – 452 .
   Google Scholar
• Denoual , C. , Barbier , G. and Hild , F. 1997 . “A Probabilistic Approach for Fragmentation of Ceramics under Impact Loading” . C. R. Acad. Sci. Paris , 325 : 685 – 691 . Série IIb
   Google Scholar
• Denoual , C. , Cottenot , C. E. and Hild , F. 1996 . “On the Identification of Damage during Impact of a Ceramic by a Hard Projectile” . 16th International Conference on BALLISTICS , : 541 – 550 . APDS, Arlington (USA)
   Google Scholar
• Denoual , C. , Cottenot , C. E. and Hild , F. 1998a . “Analysis of the Degradation Mechanisms in an Impacted Ceramic” . In Shock Compression of Condensed Matter 427 – 430 . New York, , USA : AIP Press .
   Google Scholar
• Denoual , C. and Hild , F. 1998b . “On the Characteristic Scales involved in a Fragmentation Process” . J. Phys. , : 119 – 126 . IV, no. 8
   Google Scholar
• Denoual , C. and Hild , F. 2000 . “A Damage Model for the Dynamic Fragmentation of Brittle Solids” . Comp. Meth. Appl. Mech. Eng. , 183 : 247 – 258 .
   Web of Science ®Google Scholar
• Denoual , C. and Hild , F. 2002 . “Dynamic Fragmentation of Brittle Solids: A Multi-Scale Model” . Eur. J. Mech. A/Solids , 21 ( No. 1 ) : 105 – 120 .
   Google Scholar
• Denoual , C. and Riou , P. 1995 . Comportement à l'impact de céramiques techniques pour blindages légers, CREA, Report 95 R 005
   Google Scholar
• Dugat , J. , Roux , N. and Bernier , G. 1996 . “Mechanical properties of reactive powder concretes” . Mat. Struct. , 29 : 233 – 240 .
   Web of Science ®Google Scholar
• El Debs , M. K. 2000 . “Concreto pré-moldado: fundamentos e applicações”, Projeto Reenge, São Carlos, EESC-USP (Brasil)
   Google Scholar
• Evans , A. G. 1978 . “A General Approach for the Statistical Analysis of Multiaxial Fracture” . J. Am. Ceram. Soc. , 61 ( No. 7–8 ) : 302 – 308 .
   Google Scholar
• Freudenthal , A. M. 1968 . “Statistical Approach to Brittle Fracture” . In Fracture Vol. II , 591 – 619 . New York, , USA : Academic Press .
   Google Scholar
• Freund , L. B. 1972 . “Crack Propagation in an Elastic Solid Subjected to General Loading—Constant Rate of Extension” . J. Mech. Phys. Solids , 20 : 129 – 140 .
   Web of Science ®Google Scholar
• Grady , D. E. and Kipp , M. E. 1980 . “Continuum Modeling of Explosive Fracture in Oil Shale” . Int. J. Rock Min. Sci. & Geomech. Abstr. , 17 : 147 – 157 .
   Web of Science ®Google Scholar
• Grare , L. 2002 . Approche expérimentale et numérique de l'abattage de roches, B.Sc. report, ENS de Cachan
   Google Scholar
• Gulino , R. and Phoenix , S. L. 1991 . “Weibull Strength Statistics for Graphite Fibres Measured from the Break Progression in a Model Graphite/Glass/Epoxy Microcomposite” . J. Mater. Sci. , 26 ( No. 11 ) : 3107 – 3118 .
   Google Scholar
• Gy , R. and Guillemet , C. 1992 . “Characterization of a mode of rupture of glass at 610°C” . In The Physics of Non-Crystalline Solids Taylor & Francis, London (UK)
   Google Scholar
• Hanai , J. B. and El Debs , M. K. 1994 . “The Future of Ferrocement in Civil Engineering” . Ferrocement (Proceedings of the Vth Int. Symposium on Ferrocement, Manchester (UK), 6–9 sept. 1994) , : 17 – 26 . E&FN SPON, London (UK)
   Google Scholar
• Hild , F. 1998 . Endommagement, rupture et changements d'échelles dans les matériaux hétérogènes, Mémoire d'Habilitation à Diriger des Recherches, Université Paris 6 (in French)
   Google Scholar
• Hild , F. 2001 . “Probabilistic Approach to Fracture: the Weibull Model ” . In Handbook of Materials Behavior Models Vol. 2 , 558 – 565 . San Diego : Academic Press . (USA)
   Google Scholar
• Hild , F. , Billardon , R. and Marquis , D. 1992a . «Hétérogénéité des contraintes et rupture des matériaux fragiles» . C. R. Acad. Sci. Paris , 315 : 1293 – 1298 . Série II
   Google Scholar
• Hild , F. , Brajer , X. , Denoual , C. and Forquin , P. 2003 . “On the Probabilistic-Deterministic Transition Involved in a Fragmentation Process of Brittle Materials” . Comput. Struct. , 81 : 1241 – 1253 .
   Web of Science ®Google Scholar
• Hild , F. and Marquis , D. 1992b . “A Statistical Approach to the Rupture of Brittle Materials” . Eur. J. Mech., A/Solids , 11 ( No. 6 ) : 753 – 765 .
   Google Scholar
• Hornemann , U. , Kalthoff , J. F. , Rothenhäusler , H. , Senf , H. and Winkler , S. 1984 . Experimental Investigation of Wave and Fracture Propagation in Glass—Slabs Loaded by Steel Cylinders at High Impact Velocities, EMI report E 4/84, Weil am Rhein (Germany)
   Google Scholar
• Jayatilaka , A. de S. and Trustrum , K. 1977 . “Statistical Approach to Brittle Fracture” . J. Mater. Sci. , 12 : 1426 – 1430 .
   Web of Science ®Google Scholar
• Jeulin , D. 1991 . Modèles morphologiques de structures aléatoires et changement d'échelle Thèse d'État, Université de Caen (in French)
   Google Scholar
• Kadlecek , V. and Spetla , Z. 1967 . “Effect of Size and Shape of Test Specimens on the Direct Tensile Strength of Concrete” . Bull. RILEM , 36 : 175 – 184 .
   Google Scholar
• Kennedy , R. P. 1976 . “A Review of Procedures for the Analysis and Design of Concrete Structures to Resist Missile Impact Effects” . Nucl. Eng. Des. , 37 : 183 – 203 .
   Web of Science ®Google Scholar
• Kutter , H. K. and Fairhurst , C. 1971 . “On the Fracture Process in Blasting” . Int. J. Rock Mech. Min. Sci. , 8 : 181 – 202 .
   Web of Science ®Google Scholar
• Lambot , J. L. 1855 . Ferciment, French patent
   Google Scholar
• Lamon , J. and Evans , A. G. 1983 . “Statistical Analysis of Bending Strengths for Brittle Solids: a Multiaxial Fracture Problem” . J. Am. Ceram. Soc. , 66 ( No. 3 ) : 177 – 182 .
   Google Scholar
• L'Hermite , S. 1973 . «Influence de la dimension absolue sur la résistance de flexion» . Annales de l'ITBTP , 309 : 39 – 41 . 310
   Google Scholar
• Marrey , B. 1995 . Les ponts modernes—vingtième siècle Picard Editeurs, Paris (France)
   Google Scholar
• Mastilovic , S. and Krajcinovic , D. 1999 . “High-Velocity Expansion of a Cavity within a Brittle Material” . J. Mech. Phys. Solids , 47 : 577 – 600 .
   Google Scholar
• Munz , D. and Fett , T. 1999 . Ceramics. Mechanical Properties, Failure Behavior, Materials Selection , Springer, Berlin
   Google Scholar
• Naaman , A. E. 2000 . Ferrocement and Laminated Cementious Composites Techno Press 3000, Ann Arbor (USA)
   Google Scholar
• Nervi , P. L. 1951 . “Il ferro-cemento: sue caratteristiche e possibilità” . L'ingegniere , 25 ( No. 1 ) : 17 – 25 .
   Google Scholar
• Richard , P. and Cheyrezy , M. 1995 . “Composition of reactive power concretes” . Cement Conc. Res. , 25 ( No. 7 ) : 1501 – 1511 .
   Google Scholar
• Rinehart , J. S. 1965 . “Dynamic Fracture Strengths of Rocks” . 7th Symp. Rock Mech. ,
   Google Scholar
• Riou , P. , Denoual , C. and Cottenot , C. E. 1998 . “Visualization of the Damage Evolution in Impacted Silicon Carbide Ceramics” . Int. J. Impact Eng. , 21 ( No. 4 ) : 225 – 235 .
   Google Scholar
• Shockey , D. A. , Curran , D. R. , Seaman , L. , Rosenberg , J. T. and Petersen , C. F. 1974 . “Fragmentation of Rocks under Dynamic Loads” . Int. J. Rock Mech. Min. Sci. , 11 : 303 – 317 .
   Google Scholar
• Silva , A. R.C. 2002 . Uma abordagem probabilista de ruptura de painéis tracionados de concreto de granulometria fina armados com telas soldadas, PhD thesis, University of São Paulo (in Portuguese)
   Google Scholar
• Strassburger , E. , Senf , H. and Rothenhäusler , H. 1994 . “Fracture Propagation during Impact in Three Types of Ceramics” . J. Physique IV , : 653 – 658 . coll. C8, no. suppl. IV
   Google Scholar
• Weibull , W. 1939 . “A Statistical Theory of the Strength of Materials” . Roy. Swed. Inst. Eng. Res. , 151
   Google Scholar
• Weibull , W. 1951 . “A Statistical Distribution Function of Wide Applicability” . ASME J. Appl. Mech. , 18 ( No. 3 ) : 293 – 297 .
   Google Scholar