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Strain Rate Effects on the Tensile Strength of Concrete as Predicted by Thermodynamic and Fracture Mechanics Models

Published online by Cambridge University Press:  25 February 2011

Hans W. Reinhardt
Hans W. Reinhardt*
Affiliation:
Stevin Laboratory, Delft University of Technology, Stevinweg 4, 2628 CN Delft, The Netherlands
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Abstract

Models are presented and discussed which predict the influence of stress rate or strain rate on the tensile strength of concrete. Three of them are based on linear fracture mechanics and two on thermodynamics. It is shown that four models are appropriate and useful in the low to medium stress rate whereas two can predict realistic values at high stress rates. Finally a proposal is made how to apply the knowledge to engineering practice.

Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 64: Symposium S – Cement-Based Composites: Strain Rate Effects on Fracture , 1985 , 1
Copyright
Copyright © Materials Research Society 1986

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References

REFERENCES

1. Wittmann, F.H., Roelfstra, P.E., Sadouki, H. Simulation and analysis of composite structures. Materials Science and Engineering 68(1984), pp 239–248.Google Scholar
2. Sih, G.C. ed. Dynamic crack propagation. Noordhoff Intern. Publ., Leyden, 1972.Google Scholar
3. Freund, L.B. Crack propagation in an elastic solid subjected to general loading - I. Constant rate of extension. J. Mech. Phys. Solids 20(1972), pp 129–140.CrossRefGoogle Scholar
4. Kipp, M.E., Grady, D.E., Chen, E.P. Strain-rate dependent fracture initiation. Int. J. Fracture 16(1980), pp 471–478.CrossRefGoogle Scholar
5. Weerheijm, J. Crack model for concrete under dynamic tensile load (in Dutch), Report TNO-PML 1984-15, The Hague, 1984.Google Scholar
6. Mott, N.F. Fracture of metals: Theoretical considerations. Engineering 165(1948), pp 16–18.Google Scholar
7. Dugdale, D.S. Yielding of steel plates containing slits. J. Mech. And Physics of Solids 8(1960), pp 100–104.Google Scholar
8. Barenblatt, G.I. The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 7(1962), pp 55–129.Google Scholar
9. Reinhardt, H.W. Fracture mechanics of an elastic softening material like concrete. HERON 29(1984), No. 2.Google Scholar
10. Li, V.C., Liang, E. Fracture processes in concrete and fibre reinforced cementitious composites. MIT, Dept. of Civ. Eng., Cambridge, Mass., April 1985.Google Scholar
11. Körmeling, H.A. Impact tensile strength of steel fibre concrete. Stevin Report 5–84-8, Delft University of Technology, Delft, July 1984 Google Scholar
12. Mihashi, H., Wittmann, F.H. Stochastic approach to study the influence of rate of loading on strength of concrete. HERON 25(1980), No. 3.Google Scholar
13. Lindholm, U.S., Yeakley, L.M., Nagy, A. The dynamic strength and fracture properties of Dresser basalt. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 11(1974), pp 181–191.Google Scholar
14. Zhurkov, S.N. Kinetic concept of the strength of solids. Int. J. Fracture Mechanics 1(1965), pp 311–323.Google Scholar
15. Shah, S.P. Constitutive relations of concrete subjected to a varying strain rate. Symp. Proc. The interaction of non-nuclear munitions with structures. US Air Force Academy, Colorado, May 10–13, 1983, pp 81–84.Google Scholar
16. Körmeling, H.A. Impact of steel fibre concrete at -170°C. Stevin Report 5–84-13, Delft University of Technology, Delft, December 1984.Google Scholar
17. Birkimer, D.L. A possible fracture criterion for the dynamic tensile strength of rock. Proc. 12th Symp. Rock Mechanics, Rolla, Missouri, Nov. 1970, ed. Clark, G.B., pp 573–590.Google Scholar
18. Takeda, J., Tachikawa, H. Deformation and fracture of concrete subjected to dynamic load. Proc. Int. Conf. on Mech. Behaviour of Materials, Kyoto, 1971, Vol. IV, pp 267–277.Google Scholar
19. Heilmann, H.G., Hilsdorf, H., Finsterwalder, K. Strength and strain of concrete under tensile stress (in German). DAfStb, Bulletin 203, Berlin, 1977.Google Scholar
20. Reinhardt, H.W. Concrete under impact loading - Tensile strength and bond. HERON 27(1982), No. 3.Google Scholar
21. Krausz, A.S., Eyring, H. Deformation kinetics. J. Wiley & Sons, New York, 1975.Google Scholar
22. Reinhardt, H.W. Influence of stress rate and strain rate on mechanical properties of concrete. Proposal to General Task Group 14 “Impact and impulsive loading of concrete structures” of CEB, August 1985.Google Scholar