TECHNICAL NOTES
Sep 1, 2008

Question of Tension Softening versus Tension Stiffening in Plain and Reinforced Concrete

Publication: Journal of Engineering Mechanics
Volume 134, Issue 9

Abstract

Stress transfer from concrete into steel is one of the fundamental mechanisms behind the significant ductility of reinforced concrete. Considering the low value of cracking strain of plain concrete, it is the stress transfer that takes place during debonding when the steel strain approaches the yield limit at a level which is an order of magnitude larger than the cracking limit of concrete. This technical note examines the difference of “tension softening” of plain concrete versus “tension stiffening” of reinforced concrete which describes the stress transfer mechanism from concrete into the embedded reinforcing bars. Using three-dimensional finite-element simulations the fracture energy arguments of Mode I versus Mode II are reexamined when the axial response behavior of plain concrete in tension softening is compared with that of reinforced concrete exhibiting tension stiffening in long and short tension members.

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Acknowledgments

The second writer wishes to acknowledge partial support of this research by the US National Science Foundation under Grant No. NSFCMS-0409747 on “High temperature effects on concrete materials: A multiscale approach.” Opinions expressed in this paper are those of the writers and do not necessarily reflect those of the sponsor.

References

ABAQUS standard-user’s manual. (2006). Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, R.I.
ASCE. (1982). State-of-the art rep. on finite element analysis of reinforced concrete, ASCE, New York.
Bažant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Mater. Struct., 16, 78–89.
Lee, J., and Fenves, G. L. (1998). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 124(8), 892–900.
Russo, G., and Romano, F. (1991). “Cracking response of RC members subjected to uniaxial tension.” J. Struct. Eng., 118(5), 1172–1190.
Willam, K., Bicanić, N., and Sture, S. (1984). “Constitutive and computational aspects of strain-softening and localization in solids.” Proc., Symp. Constitutive Equations: Micro, Macro and Computational Aspects, K. Willam, ed., Vol. G00274, ASME, New York, 233–252.
Willam, K., Pramono, E., and Sture, S. (1989). “Fundamental issues of smeared crack models.” Proc., Int. Conf. on Fracture Concrete and Rock, S. P. Shah and S. E. Swartz, eds., Springer, New York, 192–207.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 9September 2008
Pages: 804 - 808

History

Received: Jun 5, 2007
Accepted: Jan 3, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008

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Notes

Note. Associate Editor: Christian Hellmich

Authors

Affiliations

Bernd Koeberl
Research Assistant, Technical Univ. of Vienna, Karlsplatz 13, A-1040 Vienna, Austria.
Kaspar Willam, F.ASCE
Professor of Civil Engineering, Dept. Civil, Environmental, and Architectural Engineering (CEAE), Univ. of Colorado Boulder, Boulder, CO 80309-0428 (corresponding author). E-mail: [email protected]

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