Numerical Simulation of Mode 1 Dynamic Fracture of Concrete
Publication: Journal of Engineering Mechanics
Volume 117, Issue 7
Abstract
Nonsingular and singular fracture process zones (FPZ) are used to replicate numerically, dynamic fracture of displacement‐controlled and drop‐weight three‐point bend, concrete specimens and crack‐line wedge‐loaded, double‐cantilever beam (CLWL‐DCB) concrete specimens. An inverse procedure, which is based on dynamic finite element analysis, is used to match the measured load, load‐line displacement and three strain histories of the fracturing specimen. This numerical analysis shows that the singular‐FPZ model provides the most realistic simulation of dynamic fracture of concrete. The resulting constitutive relation between the crack closure stress and crack opening displacement for the sigular FPZ model is geometry and strain rate‐independent. The dynamic stress intensity factor, however, is strain rate‐dependent.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Barenblatt, G. T. (1962). “The mathematical theory of equilibrium crack in the brittle fracture.” Advances in Appl. Mech., Vol. 7, 1962, pp. 55–125.
2.
Chen, E. P. (1986). “Continuum damage mechanics studies on the dynamic fracture of concrete.” Cement‐based composites: Strain rate effects of fracture, S. Mindess and S. P. Shah, eds., Material Research Society, Pittsburgh, Pa., 63–77.
3.
Du, J. J., Kobayashi, A. S., and Hawkins, N. M. (1989). “FEM fracture analysis of concrete beams.” J. Engrg. Mech., ASCE, 115(10), 2136–2149.
4.
Du, J. J., Kobayashi, A. S., and Hawkins, N. M. (1990a). “A direct FEM analysis of concrete fracture specimens.” J. Engrg. Mech., ASCE, 116(3), 605–619.
5.
Du, J. J., Yon, J.‐H., Hawkins, N. M., Arakawa, K., and Kobayashi, A. S. (1990b). “Analysis of the fracture of a propagating concrete crack using Moire interferometry.” Micromechanics of failure of quasi‐brittle materials, S. P. Shah, S. E. Swartz, and M. L. Wang, eds., Elsevier Science, New York, N.Y., 146–155.
6.
Dugdale, D. S. (1960). “Yielding of steel sheets containing slits.” J. Mech. and Physics of Solid, 8(2), 100–104.
7.
Freiman, M., and Tropp, R. (1984). “Analysis of a reinforced beam under impact loading with NONDYN.” Computer‐aided analysis and design of concrete structures, F. Damjanić, E. Hinton, D. R. J. Owen, N. Bićanić, and V. Simović, eds., Pineridge Press, Swansea, United Kingdom, 359–369.
8.
Gran, J. K., and Seaman, L. (1988). “Strain‐softening calculations for concrete in dynamic uniaxial tension.” J. Engrg. Mech., ASCE, 114(11), 1911–1928.
9.
Hillerborg, A., Modeér, M., and Petersson, P.‐E. (1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res., 6(6), 773–782.
10.
Jenq, Y.‐S., and Shah, S. P. (1985). “Two parameter fracture model for concrete.” J. Engrg. Mech., ASCE, 110(10), 1227–1241.
11.
Jenq, Y.‐S., and Shah, S. P. (1988). “Mixed mode fracture of concrete.” Int. J. Fract., 38(2), 123–142.
12.
John, R., and Shah, S. P. (1990). “Mixed mode fracture of concrete subjected to impact loading.” J. Struct. Engrg., ASCE, 116(3), 585–602.
13.
Kobayashi, A. S. (1983). “Hybrid experimental‐numerical stress analysis.” Exp. Mech., 23(3), 338–347.
14.
Kobayashi, A. S., Hawkins, N. M., and Du, J. J. (1986). “An impact damage model of concrete.” Cement‐based composites: Strain rate effects of fracture, S. Mindess and S. P. Shah, eds., Material Research Society, Pittsburgh, Pa., 203–215.
15.
Kobayashi, A. S., and Mall, S. (1978). “Dynamic fracture toughness of Homalite‐100.” Exp. Mech., 18(1), 11–18.
16.
Liaw, B. M. (1983). “Assessment of impact damage in structural ceramics,” thesis presented to the University of Washington, at Seattle, Wash., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
17.
Liaw, B. M., Jeang, F. L., Du, J. J., Hawkins, N. M., and Kobayashi, A. S. (1990). “An improved non‐linear model for concrete fracture.” J. Engrg. Mech., ASCE, 116(2), 429–445.
18.
Neville, A. M. (1981). Properties of concrete, Third Ed., Pitman Publishing Limited, London, United Kingdom, 363.
19.
Shah, S. P. (1990). “Fracture toughness for high‐strength concrete.” ACI Mater. J., 87(3), 260–265.
20.
Williams, M. L. (1957). “On the stress distribution at a base of a stationary crack.” J. Appl. Mech. Trans. ASME, 24, 109–114.
21.
Yon, J.‐H., Hawkins, N. M., and Kobayashi, A. S. (1989a). “Dynamic fracture of concrete.” Proc., Ohji Int. Seminar in Dynamic Fracture, Chuo Technical Drawing Company, 103–113.
22.
Yon, J.‐H., Hawkins, N. M., and Kobayashi, A. S. (1989b). “Dynamic fracture testing of concrete bend specimen.” Fracture toughness and fracture energy, H. Mihashi, H. Takahashi, and F. K. Wittman, eds., A. A. Balkema, Rotterdam, the Netherlands, 489–500.
23.
Yon, J.‐H., Kobayashi, A. S., and Hawkins, N. M. (1990). “Dynamic fracture of concrete.” SM90‐1, Dept. of Civ. Engrg., Univ. of Washington, Seattle, Wash.
24.
Zienkiewicz, O. C. (1977). The finite element method, Third Ed., McGraw‐Hill, London, United Kingdom.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 7 • July 1991
Pages: 1595 - 1610
Copyright
Copyright © 1991 ASCE.
History
Published online: Jul 1, 1991
Published in print: Jul 1991
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.