Dynamic Compression of a Brittle Spherical Specimen
The dynamic compression process of a spherical specimen made of a brittle material in the split Hopkinson pressure bar (SHPB) is described. The aim of the present paper is to determine the stress distribution over a spherical surface as a result of passage of a wave carrying compressive stresses. The specimen is treated as a quasi-rigid body, the wave process in the SHPB system being taken into account, however. Solution of such a problem is essential for the description of the disintegrating (crushing) process of rock materials, for instance.
T.S. BATUJEV, A.A. FIEDOSOV, A.K. JEFREMOV, Collision of massive bodies producing elastic-plastic deformations within the zone of contact [in Russian], Sb. Rasch. na Prochn., 10, 1964.
L.D. BERTHOLF, Feasibility of two-dimensional numerical analysis of the split-Hopkinson pressure bar system, J. Appl. Mech., March, 137-144, 1974.
H.D. BUI, H. MAIGRE, D. RITTEL, A new approach to the experimental determination of the dynamic stress intensity factor, Int. J. Solids Structures, 29, 23, 2881-2895, 1992.
H. DENG, S. NEMAT-NASSER, Dynamite damage evolution in brittle solids, Mechanic of Materials, 14, 83-103, 1992.
G. GARY, J.R. KLEPACZKO, H. ZHAO, Correction de dispersion pour l'analyse des petites deformations aux barres de Hopkinson, J. Physique IV, Colloque C3, Suppl. au Journal de Physique III, vol 1, 403-410, Octobre 1991.
G. GARY, W.K. NOWACKI, Essai de cisaillement plan appliquee a des toles minces, EURODYMAT'94, J. Physique, 1994.
R. GRYBOŚ, Theory of impact in discrete mechanical systems [in Polish], PWN, 1969.
C. JOHNSTONE, C. RUITZ, Impact testing of ceramics, Oxford University, Report, 1994.
J. KLEPACZKO, Application of the split Hopkinson pressure bar for dynamic loading of rocks [in Polish], Engng. Trans.1 28, 3, 1980.
L. KRUSZKA, W.K. NOWACKI, M. WOLNA, Strength and fracture analysis of brittle photoelastic material. Static and dynamic tests, Engng. Trans., 40, 3, 343-362, 1992.
LEE DAVISON, A.L. STEVENS, Thermomechanical constinuous of spalling elastic bodies, J. Appl. Phys., 44, 2, 668-674, 1973.
J. NAJAR, Spalling fracture and continuous damage in elastic-brittle materials (Experiments and evaluations), [in:] Fracture Mechanics of Concrete Structures, [Ed:] Z.P. BAZANT, Elsevier Sci. Publ., 593-598, 1992.
J. NAJAR, S. BIERWIRTH, Bestimung der dynamischen Zugfestigkeit von Keranikstaben unter Berucksichtigung der Mehrbrucheffekte, Deutcher Verband fur Materialforschung und -Prifung e.V., Universitat. Munchen, 439--452, 1993.
W.K. NOWACKI, Wave problems of the theory of plasticity [in Polish], PWN, Warszawa 1974.
I.JA. SZTAJERMAN, Contact problems of the theory of elasticity [in Russian], Gostechizdat, 1949.
S. TIMOSHENKO, J.N. GOODIER, Theory of elasticity (Polish translation), Arkady, 1951.
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