The Series K Criterion of Unstable Fracture of Concrete and its Application

Abstract:

The knowledge from extensive investigations showed that the non-linearity of the load and loading point displacement curve is mainly associated with crack propagation. Based on the linear asymptotic superposition assumption, the critical effective crack length is evaluated by analyzing the nonlinear characteristics of the load and loading point displacement curves of a series of the fracture tests. Furthermore, the unstable fracture toughness is determined by inserting the peak load and the critical effective crack length into a formula developed from LEFM. Based on the calculated results, the series K criterion of unstable fracture of concrete fracture is established. At last, an engineering example of cracking analysis of the upstream lock-head foundation of the ship-lift of the Three Gorges Project is given.

• Periodical: Advanced Materials Research (Volumes 152-153)
• Pages: 1878-1883
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.152-153.1878
• Online since: October 2010
• Authors: Ai Min Deng, Dao Yuan Xu
• Keywords: Application, Concrete, Critical Effective Crack Length, Fracture Criterion, Unstable Fracture

References

[1] S. L. XU, Reinhardt H W. Crack extension resistance and fracture properties of quasi-brittle softening materials like concrete based on the complete process of fracture, International Journal of fracture, 1998, 92: 71-99.

[2] S. L. XU, Reinhardt H W. A Simplified Method for Determining Double-K Fracture Parameters for Three-Point Bending Tests, International Journal of Fracture, 2000, 104(2): 181-208.

[3] S. L. XU, Z. M. WU, S. G. DING. A Practical Analytical Approach to the Determination of Double-K Fracture Parameters of Concrete, Engineering Mechanics, 2003, 20(3): 54-61.

[4] Swartz S E, Jaha N M. Mixed-mode crack propagation and fracture in concrete, Engineering Fracture Mechanics, 1990, 35(1/3): 137-144.

DOI: 10.1016/0013-7944(90)90191-i

[5] Jenq Y S, Shah S P. Mixed-mode fracture of concrete, International Journal of Fracture, 1988, 38: 123-142.

DOI: 10.1007/bf00033002

[6] Swartz S E, Lu L W, Tang L D. Mixed-mode fracture toughness testing of concrete beams in three-point bending, Materials and Structures, 1988, 37: 385-406.

DOI: 10.1007/bf02472526

[7] D. Y. Xu, X. L. FU. Experimental Research on Ⅰ-Ⅱ Mixed Mode Crack Fracture Criterion with a Four-Point Shear Specimen, Journal of Hydraulic Engineering, 1984, (9): 63-71.

[8] D. Y. Xu, L. B. Zhang, W. X. Zhu. Test Research of the Critical Value on Concrete Fracture, Journal of Fuzhou University (Nature Science), 1994, 22(4): 222-227.

[9] S. L. XU, Reinhardt H. W. Determination of double-K criterion for crack propagation in quasi-brittle fracture，Part Ⅰ: Experimental investigation of crack propagation, International Journal of fracture, 1999, (98): 111-149.

[10] C. Chen: Metal Works fracture studies(in Chinese), (Metallurgical Industry Press, Beijing 1978).

[11] A. M. Deng. Research on Series K Criterion of Concrete Fracture Considering the Influence of Fracture Process Zone, Doctoral Thesis, (Hohai University, Nanjing 2008. 4).

[12] A. M. Deng, D. Y. Xu, X. W. Zhu. Study on the K Criterion of Ⅰ-Ⅱ Mixed Mode Fracture of Concrete Considering the Fracture Process Zone, Journal of Hefei University of Technology, 2007, 30(12): 1674-1677.