Numerical Study of Compressive Behavior of Concrete at High Strain Rates
Publication: Journal of Engineering Mechanics
Volume 125, Issue 10
Abstract
High strain rate unconfined compressional tests on concrete are simulated by a 3D discrete-element method. The laboratory data set was provided by three unconfined experiments on a split Hopkinson pressure bar apparatus at very high strain rates (350–700 s−1). This numerical method was chosen because it is well adapted to problems involving the characterization of fracturing and fragmentation in geomaterials. The simulations input data are the recorded experimental velocities, whereas the simulations output data are the computed forces that are compared with the experimental ones. The fit between the experimental and the numerical data is quite good. Based on this fit, it is shown that the strain rate dependency of the material strength can be explained by inertial effects.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Allen, M. P., and Tildesley, D. J. (1987). Computer simulation of liquids. Clarendon, Oxford, England.
2.
Bischoff, P. H., and Perry, S. H. (1991). “Compressive behaviour of concrete at high strain rates.” Mat. and Struct., 24, 425–450.
3.
Bischoff, P. H., and Perry, S. H. (1995). “Impact behavior of plain concrete loaded in uniaxial compression.”J. Engrg. Mech., ASCE, 121(6), 685–693.
4.
Brace, W. F., and Jones, A. H. (1971). “Comparison of uniaxial deformation in shock and static loading of three rocks.” J. Geophys. Res., 76, 4913–4921.
5.
Camborde, F., Mariotti, C., and Donzé, F. (1997). “Application de la méthode des éléments discrets à la modélisatiob du béton sous chargement statique.” Proc., GEO '97, GEO Publisher, Aussois, France (in French).
6.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Géotechnique, London, 29, 47–65.
7.
Curbach, M., and Eibl, J. (1989). “Nonlinear behaviour of concrete under high compressive loading rates.” Proc., Int. Conf. on Recent Devel. in Fracture of Concrete and Rock, Elsevier Science, New York.
8.
Donzé, F., Bouchez, J., and Magnier, S. A. (1997). “Modeling fractures in rock blasting.” Int. J. Rock Mech., 34, 1153–1163.
9.
Donzé, F., Magnier, S. A., and Bouchez, J. (1996). “Numerical modeling of a highly explosive source.” J. Geophys. Res., 101, 3103–3110.
10.
Gary, G. ( 1990). Essais à grande vitesse sur béton. Problèmes spécifiques, Rapport spécifique du GRECO, GRECO Publisher, Paris (in French).
11.
Gary, G., and Zhao, H. (1996). “Measurement of the dynamic behaviour of concrete under impact loading.” Proc., 2nd ISIS '96.
12.
Gopalaratnam, V., Gerstle, W., Isenberg, J., and Mindness, S. (1996). “State-of-the-art report on dynamic fracture.” Rep., ACI Committee 446, American Concrete Institute, Detroit.
13.
Hart, R., Cundall, P. A., and Lemos, J. (1988). “Formulation of a three dimensional distinct element model—Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks.” Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., 25, 117–125.
14.
Herrmann, H. J., Hansen, A., and Roux, S. (1989). “Fracture of disordered, elastic lattices in two dimensions.” Physical Rev. B, 39, 637–647.
15.
Janach, W. (1976). “The role of bulking in brittle failure of rocks under rapid compression.” Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., 13, 177–186.
16.
Liao, C. L., Chang, T. P., Young, D. H., and Chang, C. S. (1997). “Stress-strain relationship for granular materials based on the hypothesis of best fit.” Int. J. Solids Struct., 34, 4087–4100.
17.
Lindholm, U. S. (1964). “Some experiments with the split Hopkinson pressure bar.” J. Mech. Phys. Solids, 12, 317–335.
18.
Lockner, D. A., and Moore, D. E. ( 1992). “Microcrack interaction leading to shear fracture.” Rock mechanics, Tillerson and Wawersik, eds., 807–816.
19.
Magnier, S. A., and Donzé, F. V. (1998). “Numerical simulations of impacts using a discrete element method.” Mech. Cohes.-Frict. Mat., 3, 257–276.
20.
Magnier, S. A., Donzé, F. V., and Mareschal, J. C. (1997). “Discrete element project, rapport d'activites 1997, le code `Spherical Discrete Element' SDEC et ses applications.” Internal Rep., Montreal.
21.
Müller, D. ( 1996). “Techniques Informatiques Efficaces pour la Simulation de Milieux Granulaires par des Méthodes d'Eléments Distincts,” PhD thesis, EPFL, Switzerland.
22.
O'Connor, R. M. ( 1996). “A distributed discrete element modeling environment algorithm, implementation and applications,” PhD thesis, Massachusetts Inst. of Technol., Cambridge, Mass.
23.
PFC3D (particle flow code in 3 dimensions), version 1.1. (1995). Itasca Consulting Group Inc. Minneapolis, Minn.
24.
Rossi, P., Van Mier, J. G. M., Toutlemonde, F., Le Maou, F., and Boulay, C. (1994). “Effect of loading rate on the strength of concrete subjected to uniaxial tension.” Mat. and Struct., 27, 260–264.
25.
Schlangen, E. ( 1993). “Experimental and numerical analysis of fracture processes in concrete,” PhD thesis, Technische Universiteit Delft, Delft, The Netherlands.
26.
Toutlemonde, F. ( 1995). PhD thesis, ENPC, France.
27.
Walton, O. R. (1993). “Numerical simulation of inclined chute of monodisperse, inelastic, frictional spheres.” Mech. of Mat., 16, 239–247.
28.
Zhao, H., and Gary, G. (1996). “On the use of SHPB techniques to determine the dynamic behavior of materials in the range of small strains.” Int. J. Solids Struct., 33, 3363–3375.
Information & Authors
Information
Published In
History
Received: Apr 27, 1998
Published online: Oct 1, 1999
Published in print: Oct 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.