Prediction of Size‐Dependent Maximum Loads of Concrete Beams
Publication: Journal of Engineering Mechanics
Volume 117, Issue 5
Abstract
A simple analytical model has been developed for prediction of size‐dependent maximum loads of concrete‐beam specimens subjected to mode‐I rupture. The analytical model is cast within a framework of a fictitious crack model, but incorporating the following simplifying assumptions: (1) The tension‐softening law is linear; (2) the crack‐opening profile remains linear throughout the fracture process; (3) the resultant cohesive force is acted at an approximate, yet constant, location; (4) the stress distribution in the ligament of the beam specimens is described by a quadratic function; and (5) a simplified compliance equation is adopted to relate the crack opening to the applied loads. The model requires input of four material properties: Young's modulus, Poisson’s ratio, threshold separation, and tensile strength. Model predictions were compared with experimental data as well as numerical simulations. The favorable comparisons suggest that, instead of a number of simplifying assumptions made in the formulation, the model can be used as a practical tool for analysis purposes.
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References
1.
Bazant, Z. P., and Cedolin, L. (1980). “Blunt crack band propagation in finite element analysis.” J. Engrg. Mech., ASCE, 106(6), 1287–1306.
2.
Bazant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Materiaux et Constructions, 16(93), 155–177.
3.
Carpinteri, A., and Sih, G. C. (1984). “Damage accumulation and crack growth in bilinear materials with softening.” Theor. Appl. Fract. Mech., 1, 145–159.
4.
Du, J., Kobayashi, A. S., and Hawkins, N. M. (1990). “Direct FEM analysis of concrete fracture specimen.” J. Engrg. Mech., ASCE, 116(3), 605–619.
5.
Hillerborg, A. (1985). “Numerical methods to simulate softening and fracture of concrete.” Fracture mechanics of concrete: Structural application and numerical calculation, G. C. Sih, A. DiTommaso, eds., Martinus Nishoff Publishers, the Hague, the Netherlands, 141–170.
6.
Hillerborg, A., Modeer, M., and Peterson, 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.
7.
Jenq, Y., and Shah, S. P. (1985). “Two parameter fracture models for concrete.” J. Engrg. Mech., ASCE, 111(10), 1227–1241.
8.
Karihaloo, B. L., and Nallathambi, P. (1989). “Effective crack model and tensionsoftening laws.” Int. Conf. on Recent Development in the Fracture of Concrete and Rock, S. P. Shah, S. E. Swartz, and B. Barr, eds., Elsevier Applied Science, London, U.K., 701–710.
9.
Li, V. C., and Liang, E. (1986). “Fracture process in concrete and fiber reinforced cementitious composites.” J. Engrg. Mech., ASCE, 112(6), 566–586.
11.
Liaw, B. M., Jeang, F. L., Du, J. J., Hawkins, N. M., and Kobayashi, A. S. (1990). “Improved nonlinear model for concrete fracture.” J. Engrg. Mech., ASCE, 116(2), 429–445.
12.
Tada, H., Paris, P.C., and Irwin, G. R. (1973). The stress analysis of cracks handbook, Del Research Corp., Hellertown, Pa.
13.
Wecharatana, M., and Shah, S. P. (1983). “Predictions of nonlinear fracture process and zone in concrete.” J. Engrg. Mech., ASCE, 109(5), 1231–1246.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 5 • May 1991
Pages: 1059 - 1069
Copyright
Copyright © 1991 ASCE.
History
Published online: May 1, 1991
Published in print: May 1991
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