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http://dx.doi.org/10.12989/acc.2014.2.3.229

Effect of shear-span/depth ratio on cohesive crack and double-K fracture parameters of concrete  

Choubey, Rajendra Kumar (Department of Civil Engineering, Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University))
Kumar, Shailendra (Department of Civil Engineering, Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University))
Rao, M.C. (Department of Civil Engineering, Institute of Technology, Guru Ghasidas Vishwavidyalaya (A Central University))
Publication Information
Advances in concrete construction / v.2, no.3, 2014 , pp. 229-247 More about this Journal
Abstract
A numerical study of the influence of shear-span/depth ratio on the cohesive crack fracture parameters and double - K fracture parameters of concrete is carried out in this paper. For the study the standard bending specimen geometry loaded with four point bending test is used. For four point loading, the shear - span/depth ratio is varied as 0.4, 1 and 1.75 and the ao/D ratio is varied from 0.2, 0.3 and 0.4 for laboratory specimens having size range from 100 - 500 mm. The input parameters for determining the double - K fracture parameters are taken from the developed fictitious crack model. It is found that the cohesive crack fracture parameters are independent of shear-span/depth ratio. Further, the unstable fracture toughness of double-K fracture model is independent of shear-span/depth ratio whereas, the initial cracking toughness of the material is dependent on the shear-span/depth ratio.
Keywords
four-point bend test; shear-span depth ratio; cohesive crack fracture parameters; double-K fracture parameters; weight function; cohesive stress;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Karihaloo, B.L. and Nallathambi, P. (1991), Notched Beam Test: Mode I Fracture Toughness, Fracture Mechanics Test methods for concrete, Report of RILEM Technical Committee 89-FMT (Edited by S.P. Shah and A. Carpinteri), Chamman & Hall, London, 1-86.
2 Kim, J.K., Lee, Y. and Yi, S.T. (2004), "Fracture characteristics of concrete at early ages", Cement Concrete Res., 34, 507-519.   DOI   ScienceOn
3 Kumar, S. and Barai, S.V. (2008a), "Influence of specimen geometry on determination of double-K fracture parameters of concrete: A comparative study", Int. J. Fract., 149, 47-66.   DOI   ScienceOn
4 Kumar, S. and Barai, S.V. (2009c), "Effect of softening function on the cohesive crack fracture parameters of concrete CT specimen", Sadhana-Acad. Proc. Eng. Sci., 36(6), 987-1015.
5 Kumar, S. and Barai, S.V. (2008b), "Cohesive crack model for the study of nonlinear fracture behaviour of concrete", J. Inst. Engng. (India), CV 89 (Nov.), 7-15.
6 Kumar, S. and Barai, S.V. (2009a), "Determining double-K fracture parameters of concrete for compact tension and wedge splitting tests using weight function", Eng. Fract. Mech., 76, 935-948.   DOI   ScienceOn
7 Kumar, S. and Barai, S.V. (2009b), "Influence of loading condition and size-effect on the KR-curve based on the cohesive stress in concrete", Int. J. Fract., 156, 103-110.   DOI
8 Kumar, S. and Barai, S.V. (2010a), "Determining the Double-K fracture parameters for three-point bending notched concrete beams using weight function", Fatigue Fract. Eng. Mater. Struct., 33(10), 645-660.   DOI   ScienceOn
9 Kumar, S. and Barai, S.V. (2010b), "Size-effect prediction from the double-K fracture model for notched concrete beam", Int. J. Damage Mech., 19, 473-497.   DOI   ScienceOn
10 Kumar, S. and Barai, S.V. (2012), "Effect of loading condition, specimen geometry, size-effect and softening function on double-K fracture parameters of concrete", Sadhana-Academy Proceedings in Engineering Science, 37 ( Part 1), 3-15.
11 Kumar, S. and Pandey, S.R. (2012), "Determination of double-K fracture parameters of concrete using splittension cube test", Comput. Concr. An Int. J., 9(1), 1-19.   DOI   ScienceOn
12 Kumar, S., Pandey, S.R. and Srivastava, A.K.L. (2013), "Analytical methods for determination of double-K fracture parameters of concrete", Adv. Concrete Constr., 1(4), 319-340.   DOI
13 Kwon, S.H., Zhao, Z. and Shah, S.P. (2008), "Effect of specimen size on fracture energy and softening curve of concrete: Part II. Inverse analysis and softening curve", Cement Concrete Res., 38, 1061-1069.   DOI   ScienceOn
14 Murthy, A.R., Iyer N.R. and Prasad, B.K.R (2012), "Evaluation of fracture parameters by Double-G, Double-K models and crack extension resistance for high strength and ultra high strength concrete beams", Comput. Mater.Continua, 31(3), 229-252.
15 Planas, J., Elices, M., Guinea, G.V., Gomez, F.J. Cendon, D.A. and Arbilla, I. (2003), Generalizations and specializations of cohesive crack models, Eng. Fract. Mech., 70, 1759-1776.   DOI   ScienceOn
16 Nallathambi, P. and Karihaloo, B.L. (1986), "Determination of specimen-size independent fracture toughness of plain concrete", Mag. Concrete Res., 38(135), 67-76.   DOI   ScienceOn
17 Park, K., Paulino, G.H. and Roesler, J.R. (2008), "Determination of the kink point in the bilinear softening model for concrete", Eng. Fract. Mech., 7, 3806-3818.
18 Petersson, P.E. (1981), "Crack growth and development of fracture zone in plain concrete and similar materials", Report No. TVBM-100, Lund Institute of Technology.
19 Raghu Prasad, B.K. and Renuka Devi, M.V. (2007), "Extension of FCM to plain concrete beams with vertical tortuous cracks", Eng. Fract. Mech., 74, 2758-2769.   DOI
20 Planas, J. and Elices, M. (1991), "Nonlinear fracture of cohesive material", Int. J. Fract., 51, 139-157.
21 Reinhardt, H.W., Cornelissen, H.A.W. and Hordijk, D.A. (1986), "Tensile tests and failure analysis of concrete", J. Struct. Eng., ASCE, 112(11), 2462-2477.   DOI   ScienceOn
22 RILEM Draft recommendation (50-FMC) (1985), "Determination of the fracture energy of mortar and concrete by means of three-point bend test on notched beams", Mater. Struct., 18, 285-290.   DOI
23 RILEM Draft Recommendations (TC89-FMT) (1990), "Determination of fracture parameters (KIcs and CTODc) of plain concrete using three-point bend tests", Mater. Struct., 23(138), 457-460.   DOI
24 Roesler J., Paulino, G.H., Park, K. and Gaedicke, C. (2007), "Concrete fracture prediction using bilinear softening", Cement Concrete Compos., 29, 300-312.   DOI   ScienceOn
25 Xu, S. and Reinhardt, H.W. (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.   DOI   ScienceOn
26 Xu, S. and Reinhardt, H.W. (1999a), "Determination of double-K criterion for crack propagation in quasibrittle materials, Part I: Experimental investigation of crack propagation", Int. J. Fract., 98, 111-149.   DOI   ScienceOn
27 Xu, S. and Zhang, X. (2008), "Determination of fracture parameters for crack propagation in concrete using an energy approach", Eng. Fract. Mech., 75, 4292-4308.   DOI   ScienceOn
28 Xu, S. and Reinhardt, H.W. (2000), "A simplified method for determining double-K fracture meter parameters for three-point bending tests", Int. J. Fract., 104, 181-209.   DOI   ScienceOn
29 Xu, S. and Reinhardt, H.W. (1999b), "Determination of double-K criterion for crack propagation in quasibrittle materials, Part II: analytical evaluating and practical measuring methods for three-point bending notched beams", Int. J. Fract., 98, 151-77.   DOI   ScienceOn
30 Xu, S. and Reinhardt, H.W. (1999c), "Determination of double-K criterion for crack propagation in quasibrittle materials, Part III: compact tension specimens and wedge splitting specimens", Int. J. Fract., 98, 179-193.   DOI   ScienceOn
31 Xu, S. and Zhu, Y. (2009), "Experimental determination of fracture parameters for crack propagation in hardening cement paste and mortar", Int. J. Fract., 157, 33-43.   DOI
32 Yu, K. and Lu, Z. (2013), "Determining residual double-K fracture toughness of post fire concrete using analytical and weight function method", Mater. Struct., DOI 10.1617/s11527-013-0097-2.   DOI   ScienceOn
33 Zhang, X. and Xu, S. (2011), "A comparative study on five approaches to evaluate double-K fracture toughness parameters of concrete and size effect analysis", Eng. Fract. Mech., 78, 2115-2138.   DOI   ScienceOn
34 Zhang, X., Xu, S. and Zheng, S. (2007), "Experimental measurement of double-K fracture parameters of concrete with small-size aggregates", Front. Archit. Civ. Eng. China, 1(4), 448-457.   DOI
35 Zhao, Y. and Xu, S. (2002), "The influence of span/depth ratio on the double-K fracture parameters of concrete", J China Three Georges Univ. (Nat. Sci.), 24(1), 35-41.
36 Bazant, Z.P. and Oh, B.H. (1983), "Crack band theory for fracture of concrete", Mater. Struct., 16(93), 155-177.
37 Zhao, Z., Kwon, S.H. and Shah, S.P. (2008), "Effect of specimen size on fracture energy and softening curve of concrete: Part I. Experiments and fracture energy", Cement Concrete Res., 38, 1049-1060.   DOI   ScienceOn
38 Zi. G. and Bazant, Z.P. (2003), "Eignvalue method for computing size effect of cohesive cracks with residual stress, with application to kink-bands in composites", Int. J. Eng. Sci., 41, 1519-1534.   DOI   ScienceOn
39 Bazant, Z.P., Kim, J.K. and Pfeiffer, P.A. (1986), "Determination of fracture properties from size effect tests", J. Struct. Eng. ASCE, 112(2), 289-307.   DOI   ScienceOn
40 Barenblatt, G.I. (1962), "The mathematical theory of equilibrium cracks in brittle fracture", Adv. Appl. Mech., 7(1), 55-129.   DOI
41 Carpinteri, A. (1989), "Cusp catastrophe interpretation of fracture instability", J. Mech. Phy. Solids, 37(5), 567-582.   DOI   ScienceOn
42 Carpinteri, A., Cornetti, P., Barpi, F. and Valente, S. (2003), "Cohesive crack model description of ductile to brittle size-scale transition: dimensional analysis vs. renormalization group theory", Eng. Fract. Mech., 70, 1809-1839.   DOI   ScienceOn
43 Carpinteri, A., Cornetti P. and Puzzi, S. (2006), "Scaling laws and multiscale approach in the mechanics of heterogeneous and disordered materials", Appl. Mech. Rev. ASME, 59, 283-305.   DOI
44 Cusatis, G. and Schauffert, E.A. (2009), "Cohesive crack analysis of size effect", Eng. Fract. Mech., 76, 2163-2173.   DOI   ScienceOn
45 De Borst, R. (2003), "Numerical aspects of cohesive-zone models", Eng Fract. Mech., 70, 1743-1757.   DOI   ScienceOn
46 Dugdale, D. S. (1960), "Yielding of steel sheets containing slits", J. Mech. Phy. Solids, 8 (2), 100-104.   DOI   ScienceOn
47 Elices, M., Rocco, C. and Rosello, C. (2009), "Cohesive crack modeling of a simple concrete: Experimental and numerical results", Eng. Fract. Mech., 76, 1398-1410.   DOI   ScienceOn
48 Glinka, G. and Shen, G. (1991), "Universal features of weight functions for cracks in Mode I", Eng. Fract. Mech., 40, 1135-1146.   DOI   ScienceOn
49 Elices M., Guinea, G.V., Gomez, J. and Planas, J. (2002), "The cohesive cone model: advantages", limitations and challenges, Eng. Fract. Mech., 69, 137-163.   DOI   ScienceOn
50 Elices, M. and Planas, J. (1996), "Fracture mechanics parameters of concrete an overview", Adv Cem Based Mater., 4, 116-127.
51 Guinea, G.V. (1995), "Modelling the fracture of concrete: the cohesive crack", Mater. Struct., 28(4), 187-194.   DOI
52 Hillerborg, A., Modeer, M. and Petersson, P.E. (1976), "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements", Cement Concrete Res., 6,773-782.   DOI   ScienceOn
53 Hu, S. and Lu, J. (2012), "Experimental research and analysis on Double-K fracture parameters of concrete", Adv. Sci. Lett., 12 (1), 192-195.   DOI
54 Jenq, Y.S. and Shah, S.P. (1985a), "Two parameter fracture model for concrete", J. Eng. Mech. ASCE, 111(10), 1227-1241.   DOI   ScienceOn
55 Jenq, Y.S. and Shah, S.P. (1985b), "A fracture toughness criterion for concrete", Eng. Fract. Mech., 21, 1055-1069.   DOI   ScienceOn
56 Kaplan, M.F. (1961), "Crack propagation and the fracture of concrete", J. Am. Concrete Inst., 58(5), 591-610.
57 Bazant ZP (2002), "Concrete fracture models: testing and practice", Eng. Frac. Mech., 69, 165-205.   DOI   ScienceOn
58 Tada, H., Paris, P.C. and Irwin, G. (2000), The Stress Analysis of Cracks Handbook, Paris Productions Incorporated, St. Louis, Missouri, USA.
59 Hu, S., Mi, Z. and Lu, J. (2012), Effect of crack-depth ratio on double-K fracture parameters of reinforced concrete", Appl. Mech. Mater., 226-228, 937-941.   DOI
60 Murakami, Y. (1987), "Stress Intensity Factors Hand Book", (Committee on Fracture Mechanics, The Society of Materials Science, Japan) Vol-1, Pergamon Press, Oxford.