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Aug 1, 2007

Variation of Fracture Energy Dissipation along Evolving Fracture Process Zones in Concrete

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Publication: Journal of Materials in Civil Engineering
Volume 19, Issue 8

Abstract

This paper examines the fracture energy properties over ligament length for crack propagation process accompanied by fracture process zone (FPZ) advancement. Local fracture energy as well as its average value along the crack path is investigated by considering the influence of specimen boundaries on the development of FPZ. To address the specimen boundary affected region over which local fracture energy generally spreads in a non-uniform manner, two concepts are introduced: Back boundary affected length and overall boundary affected length. Tests were conducted on wedge splitting concrete specimens to identify the variation of fracture energy dissipation when FPZ evolves toward the specimen back surface. Results included here reveal that the back boundary affected length is decreasing approximately in a linear way along with crack evolution. The overall boundary affected length, however, proves to be increasing at early stages of crack growth and then decreasing in a way similar to the back boundary affected length. Local fracture energy over crack extension decreases before FPZ gains its full development. For the case of a full-developed FPZ, it can be described by two different forms: one is in the form of a horizontal line, the other part shows to be decreasing but with a constant average value. The average value of local fracture energy, however, is predicted to increase along with the evolution of FPZ.

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Acknowledgments

This paper is supported by the Key Program of the National Natural Science Foundation of China No. NNSFC50438010 and the National Key Basic Research and Development Program (973 Program) No. 2002CB412709.

References

Bažant, Z. P. (1987). “Determination of fracture energy from size effect and brittleness number.” ACI Mater. J., 84(6), 463–480.
Bažant, Z. P. (1999). “Size effect on strength: A review.” Arch. Appl. Mech., 69(9/10), 703–725.
Brameshuber, W., and Hilsdorf, H. K. (1990). “Influence of ligament length and stress state on fracture energy of concrete.” Eng. Fract. Mech., 35(1/2/3), 95–100.
Duan, K., Hu, X. Z., and Wittmann, F. H. (2003). “Boundary effect on concrete fracture and non-constant fracture energy distribution.” Eng. Fract. Mech., 70(16), 2257–2268.
Guinea, G. V., Planas, J., and Elices, M. (1992). “Measurement of the fracture energy using three-point bend tests: Part 3—Influence of cutting the P- δ tail.” Mater. Struct., 25(150), 327–334.
Guo, X. H., and Gillbert, R. I. (2000). “The effect of specimen size on the fracture energy and softening function of concrete.” Mater. Struct., 33(229), 309–316.
Hillerborg, A. (1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res., 6(6), 773–781.
Hu, X. Z., and Duan, K. (2004). “Influence of fracture process zone height on fracture energy of concrete.” Cem. Concr. Res., 34(8), 1321–1330.
Hu, X. Z., and Wittmann, F. H. (1992). “Fracture energy and fracture process zone.” Mater. Struct., 25(150), 321–326.
Hu, X. Z., and Wittmann, F. H. (2000). “Size effect on toughness induced by crack close to free surface.” Eng. Fract. Mech., 65(2/3), 209–211.
Jeng, Y. S., and Shah, S. P. (1985). “Two parameter fracture model for concrete.” J. Eng. Mech., 111(10), 1227–1241.
Maturana, P., Planas, J., and Elices, M. (1990). “Evolution of fracture behavior of saturated concrete in the low temperature range.” Eng. Fract. Mech., 35(4/5), 827–834.
Murakami, Y., Editor-in-chief. (1987). Stress intensity factors handbook, Pergamon, London.
RILEM Draft Recommendation (50-FCM). (1985). “Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams.” Mater. Struct., 18(106), 285–290.
Rots, J. G. (1986). “Strain softening analysis of concrete fracture specimens.” Fracture toughness and fracture energy of concrete, F. H. Wittmann, ed., Elsevier, Amsterdam, The Netherlands.
Xu, S., and Reinhardt, H. W. (1998). “Crack extension resistance and fracture properties of quasi-brittle softening materials like concrete based on the complete process of fracture.” Int. J. Fract., 92(1), 71–99.
Xu, S., Zhao, Y., and Wu, Z. (2006). “Study on the average fracture energy for crack propagation in concrete.” J. Mater. Civ. Eng., 18(6), 817–824.
Zhao, Y. (2002). “The analytical study on the energy in the fracture process of concrete.” Ph.D. dissertation, Dalian Univ. of Technology, Dalian, China (in Chinese).
Zhao, Y., Xu, S., and Li, Z. (2004). “An analytical and computational study on energy dissipation along fracture process zone.” Computers and Concrete, An International Journal, 1(1), 47–60.

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Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 19Issue 8August 2007
Pages: 625 - 633

History

Received: Apr 19, 2005
Accepted: Dec 14, 2006
Published online: Aug 1, 2007
Published in print: Aug 2007

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Notes

Note. Associate Editor: Carl Liu

Authors

Affiliations

Yanhua Zhao, Ph.D.
State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ. of Technology, 116024, China (corresponding author). E-mail: [email protected]
Shilang Xu, M.ASCE
Professor, State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ. of Technology, 116024, China. E-mail: [email protected]
Zhimin Wu
Professor, State Key Laboratory of Coastal and Offshore Engineering, Dalian Univ. of Technology, 116024, China. E-mail: [email protected]

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