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Evaluation of fracture parameters of concrete from bending test using inverse analysis approach

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Abstract

In this study, an inverse analysis approach is developed to obtain the fracture parameters of concrete, including stress–crack opening relationship, cracking and tensile strength as well as fracture energy, from the results of a three-point bending test. Using this approach, the effects of coarse aggregate size (5–10, 10–16, 16–20 and 20–25 mm) and matrix strength (compressive strength of 40 and 80 MPa, respectively) on the fracture parameters are evaluated. For normal strength concrete, coarse aggregate size and cement matrix strength significantly influence the shape of σ–w curve. For a given total aggregate content, small aggregate size leads to a high tensile strength and a sharp post-peak stress drop. The smaller the coarse aggregate, the steeper is the post-peak σ–w curve. By contrast, in high strength concrete, a similar σ–w relationship is obtained for various aggregate sizes. The post-peak stress drop for high strength concrete is more abrupt than that for normal strength concrete. Also, the smaller the coarse aggregate size, the higher is the flexural strength. For both normal and high strength concrete, fracture energy and characteristic length are found to increase with increase of coarse aggregate size.

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References

  1. Kaplan FM (1961) Crack propagation and fracture of concrete. J Am Concr Inst Proc 58:591–610

    Google Scholar 

  2. Strange PC, Bryant AH (1979) Experimental tests on concrete fracture. ASCE Proc J Eng Mech Div 105:337–342

    Google Scholar 

  3. Hillerborg A, Modéer M, Petersson P-E (1976) Analysis of crack formation and crack growth by means of fracture mechanics and finite elements. Cem Concr Res 6:773–782

    Article  Google Scholar 

  4. Jenq YS, Shah SP (1985) Two parameter fracture model for concrete. J Eng Mech ASCE 111:1227–1241

    Article  Google Scholar 

  5. Bažant ZP (1984) Size effect in blunt fracture: concrete rock and metal. J Eng Mech ASCE 110:518–535

    Article  Google Scholar 

  6. Bažant ZP, Kim J-K, Pfeiffer PA (1986) Determination of fracture properties from size effect tests. J Struct Eng ASCE 112:289–307

    Article  Google Scholar 

  7. Nallathambi P, Karihaloo BL (1986) Determination of specimen-size independent fracture toughness of plain concrete. Mag Concr Res 38:67–76

    Article  Google Scholar 

  8. Xu S, Reinhardt HW (1999) Determination of double-K criterion for crack propagation in quasi-brittle materials, part I: experimental investigation of crack propagation. Int J Fract 98:111–149

    Article  Google Scholar 

  9. Xu S, Reinhardt HW (1999) Determination of double-K criterion for crack propagation in quasi-brittle materials, part II: analytical evaluating and practical measuring methods for three-point bending notched beams. Int J Fract 98:151–177

    Article  Google Scholar 

  10. Xu S, Reinhardt HW (1999) Determination of double-K criterion for crack propagation in quasi-brittle materials, part III: compact tension specimens and wedge splitting specimens. Int J Fract 98:179–193

    Article  Google Scholar 

  11. Xu S, Reinhardt HW (2000) A simplified method for determining double-K fracture parameters for three-point bending tests. Int J Fract 104:181–209

    Article  Google Scholar 

  12. Xu S, Reinhardt HW (1998) Crack extension resistance and fracture properties of quasi-brittle materials like concrete based on the complete process of fracture. Int J Fract 92:71–99

    Article  Google Scholar 

  13. Amparano FE, Xi YP, Roh YS (2000) Experimental study on the effect of aggregate content on fracture behavior of concrete. Eng Fract Mech 67:65–84

    Article  Google Scholar 

  14. Chang TP, Taso KL, Lin BR (1998) Effect of aggregate on fracture properties of high-performance concrete. In: Mihashi H, Rokugo K (eds) Fracture mechanics of concrete structures, Proccedings of FRAMCOS-3. D-79104. Aedificatio Publishers, Freiburg, pp 151–160

  15. Hassanzadeh M (1998) The influence of the type of coarse aggregates on the fracture mechanical properties of high performance concrete. In: Mihashi H, Rokugo K (eds) Fracture mechanics of concrete structures, Procceedings of FRAMCOS-3. D-79104. Aedificatio Publishers, Freiburg, pp 161–170

  16. Giaccio G, Rocco C, Zerbino R (1993) The fracture energy of high strength concretes. Mater Struct 26:381–386

    Article  Google Scholar 

  17. Tasdemir C, Tasdemir MA, Mills N, Barr BIG, Lydon FD (1999) Combined effects of silica fume, aggregate type, and size of postpeak response of concrete in bending. ACI Mater J 96:74–83

    Google Scholar 

  18. Zhou FP, Barr BIG, Lydon FD (1995) Fracture properties of high strength concrete with varying silica fume content and aggregates. Cem Concr Res 25:543–552

    Article  Google Scholar 

  19. Kitsutaka Y (1997) Fracture parameters by polylinear tension-softening analysis. J Eng Mech 123:444–450

    Article  Google Scholar 

  20. Nanakorn P, Horii H (1996) Back analysis of tension-softening relationship of concrete. J Mater Conc Struct Pavements JSCE 32(544):265–275

    Google Scholar 

  21. Zhang J, Liu Q (2003) Determination of fracture parameters of concrete by three-point bending test. Tsinghua Sci Technol 8:726–733

    Google Scholar 

  22. Petersson, P-E (1981) Crack growth and development of fracture zones in plain concrete and similar materials. Report TVBM-1006, Division of Building Materials, Lund Institute of Technology

  23. Wang YJ, Li VC, Backer S (1990) Experimental determination of tensile behaviour of fibre reinforced concrete. ACI Mater J 87:461–468

    Google Scholar 

  24. Li VC, Chan CM, Leung CKY (1987) Experimental determination of the tension-softening relations for cementitious composites. Cem Concr Res 17:441–452

    Article  Google Scholar 

  25. Zhang J, Stang H (1998) Application of stress crack width relationship in predicting the flexural behavior of fiber reinforced concrete. Cem Concr Res 28:439–452

    Article  Google Scholar 

  26. Carpinteri A, Chiaia B, Ferro G (1998) Scale dependence of tensile strength of concrete specimens: a multifractal approach. Mag Concr Res 50:237–246

    Article  Google Scholar 

  27. Zhang J, Li VC (2004) Simulation of crack propagation in fiber reinforced concrete by fracture mechanics. Cem Concr Res 34:333–339

    Article  Google Scholar 

  28. Tada H, Paris PC, Irwin G (1985) The stress analysis of cracks handbook, 2nd edn. Paris Productions Inc., St. Louis

    Google Scholar 

  29. Cox BN, Marshall DB (1991) Stable and unstable solutions for bridged cracks in various specimens. Acta Metall Mater 39:579–589

    Article  Google Scholar 

  30. He MY, Hutchinson JW (1989) Crack deflection at an interface between dissimilar elastic materials. Int J Solid Struct 25:1053–1067

    Article  Google Scholar 

  31. Buyukozturk O, Hearing B (1998) Crack propagation in concrete composites influenced by interface fracture parameters. Int J Solids Struct 35:4055–4066

    Article  Google Scholar 

  32. Zhang J, Liu Q (2004) Conditions of crack propagation along matrix/aggregate interface or penetrating into aggregate in concrete. J Tsinghua Univ 44:387–390 (in Chinese)

    Google Scholar 

  33. Li VC, Leung CKY (1992) Steady state and multiple cracking of short random fiber composites. ASCE J Eng Mech 188:2246–2264

    Article  Google Scholar 

Download references

Acknowledgements

Support from the National Natural Science Foundation of China (Nos. 50438010 and 50178043) is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Civil Engineering, Tsinghua University, 100084, Beijing, People’s Republic of China

    Jun Zhang

  2. Department of Civil Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, People’s Republic of China

    Christopher K. Y. Leung

  3. Department of Civil Engineering, Dalian Institute of Technology, 100084, Dalian, People’s Republic of China

    Shilang Xu

Authors
  1. Jun Zhang
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  2. Christopher K. Y. Leung
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  3. Shilang Xu
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Correspondence to Jun Zhang.

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Zhang, J., Leung, C.K.Y. & Xu, S. Evaluation of fracture parameters of concrete from bending test using inverse analysis approach. Mater Struct 43, 857–874 (2010). https://doi.org/10.1617/s11527-009-9552-5

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