Constitutive Model for Dynamic Loading of Concrete
Publication: Journal of Structural Engineering
Volume 111, Issue 3
Abstract
Constitutive properties of concrete under dynamic loading are necessary for the rational analysis of concrete structures subject to impact and impulsive loads. The constitutive model presented herein models microcracking through the use of a continuous damage parameter for which a vectorial representation is adopted. The rate of increase of the damage is dependent on the state of strain as well as on the time rate of strain. The constitutive equations are derived from the strain energy function which is influenced by the accumulated damage. The constitutive model is calibrated using uniaxial tension (or flexural) and uniaxial compression test data. The calibrated model is then used to predict certain other load responses of concrete.
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References
1.
Evans, A. G., “Slow Crack Growth in Brittle Materials Under Dynamic Loading,” International Journal of Fracture, Vol. 10, No. 2, June, 1974, pp. 251–259.
2.
Gopalaratnam, V. S., and Shah, S. P., “Softening Response of Plain Concrete in Direct Tension,” to appear in the ACI Journal, MS5652.
3.
Grady, D. E., and Kipp, M. E., “Continuum Modeling of Explosive Fracture in Oil Shale,” International Journal of Rock Mechanics and Mining Science and Geomechanics Abstracts, Vol. 17, 1980, pp. 147–157.
4.
Krajcinovic, D., and Fonseka, U., “The Continuous Damage Theory of Brittle Materials,” Journal of Applied Mechanics, Vol. 48, 1981, pp. 809–816.
5.
Kupfer, H. B., and Gerstle, K. H., “Behavior of Concrete Under Biaxial Stresses,” Journal of the Engineering Mechanics Division, ASCE, Vol. 99, No. EM4, Aug., 1973, pp. 853–866.
6.
Loland, K. E., “Continuous Damage Model for Load Response Estimation of Concrete,” Cement and Concrete Research, Vol. 10, 1980, pp. 395–402.
7.
Mazars, J., “Mechanical Damage and Fracture of Concrete Structures,” Advances in Fracture Research, D. Francois, ed., 5th International Conference on Fracture, Cannes, Mar.–Apr., 1981, pp. 1499–1506.
8.
Mellinger, F. M., and Birkimer, D. L., “Measurements of Stress and Strain on Cylindrical Test Specimens of Rock and Concrete Under Impact Loading,” Technical Report No. 4‐46, Department of the Army, Ohio River Division Laboratories, Apr., 1966.
9.
Mihashi, H., and Wittmann, F. G., “Stochastic Approach to Study the Influence of Rate of Loading on Strength of Concrete,” Heron, Vol. 25, 1980, No. 3, Delft University of Technology, Delft, The Netherlands.
10.
Passman, S. L., Grady, D. E., and Rundle, J. B., “The Role of Inertia in the Fracture of Rock,” Journal of Applied Physics, Vol. 51, No. 8, Aug., 1980, pp. 4070–4075.
11.
Shah, S. P., and Winter, G., “Inelastic Behavior and Fracture of Concrete,” Causes, Mechanism and Control of Cracking in Concrete, ACI Publication, SP‐20, 1968, pp. 5–28.
12.
Suaris, W., and Shah, S. P., “Properties of Concrete Subjected to Impact,” Proceedings, ASCE, Vol. 109, No. ST7, July, 1983, pp. 1727–1741.
13.
Suaris, W., and Shah, S. P., “A Rate‐Sensitive Damage Theory for Brittle Solids,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. 6, June, 1984, pp. 985–997.
14.
Suaris, W., and Shah, S. P., “Mechanical Properties of Concrete Subjected to Impact,” Introductory Report for the Interassociation (RILEM, CEB, IABSE, IASS) Symposium on Concrete Structures Under Impact and Impulsive Loading, West Berlin, June, 1982.
15.
Taylor, M. A., “Theory for the Determination and Failure of Cement Pastes, Mortars and Concrete under General States of Stress,” thesis presented to the University of California, at Berkeley, in 1969, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Vos, E., and Reinhardt, H. W., “Bond Resistance of Deformed Bars, Plain Bars and Strands Under Impact Loading,” Report No. 5‐80‐6, Department of Civil Engineering, Delft University of Technology, Delft, The Netherlands, Sept., 1980.
Information & Authors
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Published In
Journal of Structural Engineering
Volume 111 • Issue 3 • March 1985
Pages: 563 - 576
Copyright
Copyright © 1985 ASCE.
History
Published online: Mar 1, 1985
Published in print: Mar 1985
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