TECHNICAL PAPERS
Mar 1, 1984

Stability of Fracturing Process in RC Beams

Publication: Journal of Structural Engineering
Volume 110, Issue 3

Abstract

A reinforced concrete beam section with a through‐thickness edge crack in the stretched part is considered. The eccentric axial force transmitted by the reinforcement to the concrete beam element, is estimated by means of a rotation congruence condition able to provide this statically undetermined reaction. In the field of linear elastic fracture mechanics, such a force increases linearly by increasing the external bending moment, until the limit force of yielding or slippage is reached. From this point on a perfectly plastic behavior of the reinforcement is considered. Once the bending moment of steel plastic flow is exceeded, the cracked beam segment presents a linear‐hardening behavior, until the concrete fracture occurs. It is shown how the stability of the process of concrete fracture and steel plastic flow depends on the mechanical and geometrical (scale included) properties of the beam cross section.

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References

1.
Avram, C., Filimon, I., Deutsch, I., and Clipii, T., “Crack Control and Crack Widths in Low Reinforced Concrete Members,” Corso di Perfezionamento per le Costruzioni in Cemento Armato Fratelli Pesenti, Politecnico di Milano, Milan, Italy, 1979, pp. 259–319.
2.
Carpinteri, A., “Size Effect in Fracture Toughness Testing: A Dimensional Analysis Approach,” Analytical and Experimental Fracture Mechanics, G. C. Sih and M. Mirabile, eds., Sijthoff & Noordhoff, 1981, pp. 785–797.
3.
Carpinteri, A., “Notch Sensitivity in Fracture Testing of Aggregative Materials,” Engineering Fracture Mechanics, Vol. 16, No. 4, 1982, pp. 467–481.
4.
Carpinteri, A., “Experimental Determination of Fracture Toughness Parameters KIC and JIC for Aggregative Materials,” Advances in Fracture Research, D. Francois, ed., Pergamon Press, New York, N.Y., 1981, pp. 1491–1498.
5.
Carpinteri, A., “Static and Energetic Fracture Parameters for Rocks and Concretes,” Materials & Structures, Vol. 14, No. 81, 1981, pp. 151–162.
6.
Carpinteri, A., Di Tommaso, A., and Viola, E., “Fatigue Evolution of Multicracked Frame‐Structures,” Analytical and Experimental Fracture Mechanics, G. C. Sih and M. Mirabile, eds., Sijthoff & Noordhoff, 1981, pp. 417–430.
7.
Carpinteri, A., Di Tommaso, A., and Viola, E., “On the Limit Bearing Capacity of Cracked Masonry Walls,” Proceedings of the 5th Congress of the Italian Association of Theoretical and Applied Mechanics, Palermo, Italy, 1980.
8.
Okamura, H., Watanabe, K., and Takano, T., “Applications of the Compliance Concept in Fracture Mechanics,” ASTM STP 536, 1973, pp. 423–438.
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Okamura, H., Watanabe, K., and Takano, T., “Deformation and Strength of Cracked Member Under Bending Moment and Axial Force,” Engineering Fracture Mechanics, Vol. 7, 1975, pp. 531–539.
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“Raccomandazioni CEB/FIP per le Strutture in Cemento Armato,” Edizione Haliana A.I.T.E.C.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 110Issue 3March 1984
Pages: 544 - 558

History

Published online: Mar 1, 1984
Published in print: Mar 1984

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Authors

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Alberto Carpinteri
Research Asst., Istituto di Scienza delle Costruzioni, Univ. of Bologna, 2 Viale Risorgimento, 40136 Bologna, Italy

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