Behaviour of quasi-brittle material at high strain rate. Experiment and modelling

European Journal of Mechanics, A/Solids

Volumn 17, Issue 3, 1998, Pages 403-420

  Gary, Gérard ^a   Bailly, Patrice ^b  

^a LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

^b UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; DYNAMIC LOADS; DYNAMIC RESPONSE; FAILURE ANALYSIS; MATHEMATICAL MODELS; POISSON RATIO; PRESSURE EFFECTS; STRAIN RATE; TENSILE STRENGTH;

QUASI-BRITTLE MATERIALS; SPLIT HOPKINSON PRESSURE BAR (SHPB);

CONCRETE TESTING;

EID: 0032058037     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(98)80052-1     Document Type: Article

References (77)

1. ANDRIEUX S., BAMBERGER Y., MARIGO J. J., 1986, Un modèle de matériau microfissuré pour les bétons et les roches, Journal de Mécanique Théorique et Appliquée, 5, no 3, 471-513.
2. ATTIA A. V., 1991, The Effect of Friction on Simulated Dynamic Fracturing of Rocks, Journal de Physique, colloque C3, 1, 745-750.
3. BAILLY P., 1992, Modélisation des Essais de Compression Dynamiques, GRECO Geometrical scientific report, 97-100.
4. BAILLY P., 1994, Une modélisation d'un matériau fragile avec prise en compte d'effets dynamiques, Comptes Rendus de l'Académie des Sciences, Paris, 318, 727-732.
5. BAZANT Z. P., BHAT P. D., 1976, Endochronic Theory of Inelasticity and Failure of Concrete, Journal of the Engineering Mechanics Division, Vol. 102, No EM4, p. 701-722.
6. BICANIC, ZIENKIEWICZ, 1983, Constitutive model for concrete under dynamic loading, Earthquake Engineering and Structural Dynamics, 11, 689-710.
7. BISCHOFF P. H., PERRY S. H., 1991, Compressive Behaviour of Concrete at High Strain Rate, Materials and Structures, 24, 425-450.
8. BRAGOV A. M., GRUSHEVSKY G. M., LOMUNOV A. K., 1994, Use of the Kolsky Method for Studying Shear Resistance of Soils, Dymat. Journal, note, 3, 253-259.
9. BUI H. D., Mécanique de la rupture fragile, Masson, 1978.
10. CEDOLIN L., CRUTZEN Y. R. J., POLI S. D., 1977, Triaxial Stress-Strain Relationship for Concrete, Journal of the Engineering Mechanics Division, 103, 423-439.
11. CHEATAM J. B., 1968, The effect of pressure, temperature, and loading rate on the mechanical properties of rocks, Mechanical Behaviour of rock under Dynamic Loads, Springer, New York, 388-397.
12. CHEN A. C. T., CHEN W. F., 1975, Constitutive relations for concrete, Proceeding of the American Society of Civil Engineers, vol. 101, EM4, August.
13. CHEN W., TING E. C.? 1980, Constitutive Models for Concrete Structures, Journal of the Engineering Mechanics Division, 106, 1-19.
14. CHRISTENSEN R. J., SWANSOW S. R., BROWN W. S., 1972, Split Hopkinson bar test on rock under confining pressure, Experimental Mechanics, 12, 508-541.
15. DAVIES R. M., 1948, A critical study of Hopkinson pressure bar, Philosophical Transactions of the Royal Society, A240, 375-457.
16. de BORST R., 1993, Fundamental issues in finite element analysis of localisation of deformation, Engineering Computations, 10, 99-122.
17. DENG H., NEMAT-NASSER S., 1994, Dynamic Damage Evolution of solids in compression: Microcracking, Plastic Flow, and Brittle-Ductile Transition, J. of Eng. Mat. and Technology, Trans ASME, 116, 268-289.
18. DUFFY J., CAMPBELL J. D., HAWLEY R. H., 1971, On the use of a torsional split Hopkinson bar to study rate effects in 1100-0 aluminium, Journal of Applied Mechanics, 38, 83-91.
19. ECONOMOU P., 1995, Evaluation of strain rate dependent model for concrete under tension applications, Material and Structure Modeling in Collision Research, Proceedings of the 9th Dymat technical conference, Munich, Germany, October 1995, Chapter 2.
20. ELWI A. A., MURRAY D. W., 1979, A 3D hypoelastic concrete consitutive model, Journal of the Engineering Mechanics Division, vol. 105, EM4, august.
21. -1 strain rate regime, International Journal of Rock Mechanical Mining Sciences and Geomechanical Abstracts, 15, 263-274.
22. GARY G., 1983, Dynamic Buckling of an Elastoplastic Column, International Journal of Impact Engineering, 1, 357-375.
23. GARY G., KLEPACZKO J. R., 1992, Essai de compression dynamique sur béton, GRECO Geomaterial scientific report, 105-118.
24. GARY G., KLEPACZKO J. R., ZHAO H., 1992, Corrections for wave dispersion and analysis of small strains with Split Hopkinson Bar, Proceedings of "International Symposium of Impact Engineering", Sendaï, Japon, October 1992, 1, 73-78.
25. GARY G., KLEPACZKO J. R., ZHAO H., 1993, Application of microcomputers for Wave Dispersion Corrections for Split Hopkinson Pressure Bar, Proceedings of "ACMIRME'93" International Symposium, Xian, Chine, 54-60.
26. GARY G., ZHAO H., 1996, Measurements of the dynamic behaviour of concrete under impact loading, Proceedings of 2nd ISIE'96, Beijing, China, Chinese Journal Mechanics Press, 208-213.
27. GATUINGT F., DEAUDEVILLE L., 1996, Simulation d'un essai dynamique avec un modèle d'endommagement visqueux, Colloque "GEO", Aussois, décembre.
28. GOLDSMITH W., POLIVKA M., YANG T., 1966, Dynamic behaviour of concrete, Experimental Mechanics, 6, 65-79.
29. GONG J. C., MALVERN K. E., JENKINS D. A., 1990, Dispersion investigation in the split Hopkinson pressure bar, Journal of Engineering Material Technology, 112, 309-314.
30. GORISSE F., 1982, Les essais mécaniques, Le béton Hydraulique, Paris, Presses de l'École Nationale des Ponts et Chaussées, 379-388.
31. GRADY D. E., KIPP M. E., 1979, Oil shale fracture and fragmentation at high rates of loading. Proceedings of the 20th U.S. Symposium on Rock Machining, Austin, 119-127.
32. GREEN H., 1958. The impact testing of concrete, Mechanical properties of non-metallic brittle materials, Ed. Walton W. H., 300-317.
33. HAN D. J., CHEN W. F., 1985, A non uniform hardening plasticity model for concrete materials, Mechanics of materials, 4, 283-302.
34. HARDING J., WOOD E. D., CAMPBELL J. D., 1960, Tensile testing of materials at impact rate of strain, Journal of Mechanical Engineering Sciences, 2, 88-96.
35. HOLMQUIST T. J., JOHNSON G. R., COOK W. H., 1993, A computational constitutive model for concrete subjected to large strains, high strain rates, and high pressure, Proceedings of the 14th International Symposium on Ballistics, Québec, Canada, 26-29 Sept., 591-600.
36. HOPKINSON B., 1914, A Method of measuring the pressure in the deformation of high explosive by impact of bullets, Philosophical Transactions of the Royal Society of London, A213, 437-452.
37. JANACH W., 1979, Impact of Steel Cylinder on a Rock Half-Space, The Institute of Physique Conference, 47, 331-336.
38. KACHANOV M., 1980, Continuum model of medium with cracks, Journal of the Engineering Mechanics Division, vol. 106, EM5, October.
39. KLEPACZKO J. R., 1988, On the Role of Microcracking Inertia in Rate Sensitivity of Coal at High Strain Rates, Archives of Mechanics, Warszawa, 40, 345-358.
40. KLEPACZKO J. R., 1990, Behavior of Rock-like Materials at High Strain Rate in Compression, International Journal of Plasticity, 6, 415-432.
41. KLEPACZKO J. R., GARY G., BARBERIS P., 1991, Behaviour of rock salt in uniaxial compression at medium and high strain rates, Archives of Mechanics, Warsawa, 43, 499-517.
42. KOLSKY H., 1949, An investigation of mechanical properties of materials at very high rates of loading, Proceedings of the Physical Society London, B62, 676-700.
43. KOTSOVOS M. D., 1983, Effect of testing techniques on the post-ultimate behaviour of concrete in compression, Matériaux et Constructions, 91, 3-12.
44. KUSANO N. et al., 1992, Impulse local damage analysis of concrete structure by the distinct element method, Nuclear Engineering and Design, 138, 105-110.
45. LE NARD H., ROBIN B., BAILLY P., 1996, Simulation de la compression dynamique de cylindres en béton, Colloque "GEO", Aussois, décembre.
46. LINDHOLM U. S., 1964, Some experiments with the split Hopkinson pressure bar, Journal of Mechanics and Physics of Solids, 12, 317-335.
47. LINDHOLM U. S., YEAKLEY L. M., NAGY A., 1974, The dynamic strength and fracture properties of Dressel basalt, International Journal of Rock Mechanical Mining Sciences and Geometrical Abstract., 11, 181-199.
48. MALINOWSKI J. Z., KLEPACZKO J. R., 1986, A unified analytic and numerical approach to specimen behavior in the split Hopkinson pressure bar, International Journal of Mechanical Sciences, 28, 381-391.
49. MALVERN L. E., JENKINDS D. A., TANG T., MCLURE S., 1991, Dynamic testing of laterally confined concrete. Micromechanics of failure of quasi brittle materials, Elsevier Applied Science, 343-352.
50. MARIOTTI C., THOMAS F., 1994, Loi de comportement ARMOR pour géomatériaux sous sollicitation dynamique, Journal de Physique, IV, vol. 4, sept. 1994.
51. MAZARS J., 1984, Application de la mécanique de l'endommagement au comportement non linéaire et à la rupture du béton de structure, Thèse de Doctorat d'État es Sciences Physiques, Université de Paris-VI, France.
52. VAN MIER J. G. M., Multiaxial strain-softening of concrete, Matériaux et Constructions, 111, 179-200.
53. PIETRUSZCZAKS, JLANG J., MIRZA F. A., 1988, An elastoplastic constitutive model for concrete, Int. Journal of Solids and Structures, vol. 24, no 7, 705-722.
54. REID S. R., 1992, Response of wood and cellular structures to impact loading, Proceedings of "International Symposium of Impact Engineering", Sendaï, Japon, October 1992, 2, 691-698.
55. REINHARDT H. W., KÖRMELING H. A., ZIELINSKI A. J., 1986, The split Hopkinson bar, a versatile tool for the impact testing of concrete, Matériaux et Constructions, 19, 55-63.
56. REINHART H. W., ROSSI P., Van MIER J. G., 1990, Joint investigation of concrete at high rates of loading, Materials and Structures, 23, 213-216.
57. RILEM committee, 1975. The effect of impact loading on building, Matériaux et Constructions, 8, 101-158.
58. ROSSI P., 1991, Influence of Cracking in the Presence of Free Water on the Mechanical Behaviour of Concrete, Magazine of Concrete Research, 43, 53-57.
59. ROSSI P., 1994, Dynamic behaviour of concrete: from the material to the structure, Materials and structures, 27, 319-323.
60. ROSSI P., BOULAY C., 1990, Influence of Free Water in Concrete on the Cracking Process, Magazine of Concrete Research, 42, 143-146.
61. ROSSI P., 1991, Influence of the presence of free water in cracking on the mechanical behaviour of concrete, Magazine of Concrete Research, 43, no 154, March, 53-57.
62. ROTA L., 1994, An inverse approach for identification of dynamic constitutive equations, Proceedings of the second international symposium on inverse problems-ISIP'94/Paris/Franee, Inverse Problems in Engineering Mechanics, Bui, Tanaka et al., Balkema, Rotterdam.
63. SANDLER I. S., Di MAGGIO F. L., BALADI G. H., 1976, Generalised Cap model for geological materials, Journal of the Geotechnical Engineering Division, vol. 102, GT7, july 1976.
64. SEMBLAT J. F., 1994, Sols sous sollicitations dynamiques et transitoires : réponse dynamique aux barres de Hopkinson, propagation d'ondes en milieu centrifugé, Thèse de Doctorat de l'École Polytechnique, Publication LCPC 1995.
65. SEMBLAT J. F., GARY G., LUONG M. P., 1995, Dynamic response of sand using 3D Hopkinson bar, Proceedings of IS-TOKYO'95 First International Conference on Earthquake Geotechnical Engineering, Tokyo, November 1995.
66. SLUYS L. J., de BORST R., 1992, Wave propagation and localisation in rate-dependent cracked medium-Model formulation and one-dimensional example. International Journal of Solids and Structures, 29, 2945-2958.
67. SUARIS W., SHAH S., 1984, Rate sensitive damage theory for brittle solids, Journal of Engineering Mechanics, 110, 985-997.
68. TANG T., MALVERN L. E., JENKINS D. A., 1992, Rate effects in uniaxial dynamic compression of concrete, Journal of Engineering Mechanics, 118, 108-124.
69. TERRIEN M., 1980, Emission Acoustique et Comportement Mécanique Post Critique d'un Béton Sollicité en Traction, Bulletin de liaison des Ponts et Chaussées, 105, 65-72.
70. TOUTLEMONDE F., 1994, Résistance au choc des structures en béton, Thèse de Doctorat, ENPC, Paris.
71. ULM F. J., 1993, Un modèle d'endommagement plastique : application au béton de structure, Thèse de doctorat de l'École Nationale des Ponts et Chaussées.
72. ZHAO H., 1992, Analyse de l'essai aux barres de Hopkinson, Application à la mesure du comportement dynamique des matériaux, Thèse de Doctorat, ENPC, Paris.
73. ZHAO H., GARY G., 1995, A three dimensional analytical solution of the longitudinal wave propagation in an infinite linear viscoelastic cylindrical bar. Application to experimental techniques. Journal of Mechanics and Physics of Solids, 43, 1335-1348.
74. ZHAO H., GARY G., 1996, On the use of SHPB techniques to determine the dynamic behaviour of materials in the range of small strains, International Journal of Solids and Structures, Pergamon press, 33, 3363-3375.
75. e Congrès Français de Mécanique, Lille-Villeneuve d'Ascq.
76. ZAKI L., 1996, Réponse dynamique d'un milieu quasi-fragile. Modélisation et aspects mathématiques. Application à la compression et à la flexion du béton. Thèse de Doctorat, Orléans University, France.
77. e Congrès Français de Mécanique, Strasbourg, IV, 209-212.