Technical Papers
Oct 28, 2016

Equivalent Crack, Fracture Size Effect, and Cohesive Stress Zone of Plain Concrete under Quasi-Static and Variable High-Cycle Fatigue Loading

Publication: Journal of Materials in Civil Engineering
Volume 29, Issue 4

Abstract

Compliance-derived equivalent cracks are often used in high-cycle fatigue cracking predictions for computational expediency. Its dependence on the cohesive stress zone, however, may limit general applicability under high-cycle variable amplitude fatigue loading and limit the objectivity of the Paris constants and fatigue fracture toughness. In this paper, notched three-point bend concrete specimens of different sizes are subjected to (1) different loading modes: quasi-static and high-cycle fatigue; and (2) different fatigue loading sequences: constant, variable, and random. The results indicate that the fracture toughness does not depend significantly on loading sequence or loading mode. The Paris constants are not size dependent when a crack resistance curve is inserted into a modified Paris law within the range of experimental conditions considered here. The observations and statistical comparisons were consistent for both beam sizes, although they exhibited some significantly different cohesive and fracture properties. More research is required, however, to further generalize these results by expanding the current experimental conditions to include different specimen sizes, geometries, and concrete mix designs.

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References

Alyhya, W. S., Abo Dhaheer, A., Al-Rubaye, M. M., and Karihaloo, B. L. (2016). “Influence of mix composition and strength on the fracture properties of self-compacting concrete.” Constr. Build. Mater., 110, 312–322
ASTM. (2004). “Standard test method for splitting tensile strength of cylindrical concrete specimens.” ASTM C496/C496M, West Conshohocken, PA.
ASTM. (2015). “Standard test method for slump of hydraulic-cement concrete.” ASTM C143/C143M, West Conshohocken, PA.
ASTM. (2016a). “Standard specification for air-entraining admixtures for concrete.” ASTM C260/C260M, West Conshohocken, PA.
ASTM. (2016b). “Standard specification for chemical admixtures for concrete.” ASTM C494/C494M, West Conshohocken, PA.
ASTM. (2016c). “Standard specification for portland cement.” ASTM C150/C150M, West Conshohocken, PA.
ASTM. (2016d). “Standard test method for compressive strength of cylindrical concrete specimens.” ASTM C39/C39M, West Conshohocken, PA.
ASTM. (2016e). “Standard test method for density (unit weight), yield, and air content (gravimetric) of concrete.” ASTM C138/C138M, West Conshohocken, PA.
ASTM. (2016f). “Standard test method for flexural strength of concrete (using simple beam with third-point loading).” ASTM C78/C78M, West Conshohocken, PA.
Bazant, Z. P., and Cedolin, L. (1984). “Approximate linear analysis of concrete fracture by R-curve.” J. Struct. Eng., 1336–1355.
Bazant, Z. P., and Gettu, R. (1992). “Rate effects and load relaxation in static fracture of concrete.” ACI Mater. J., 89(5), 456–468.
Bazant, Z. P., and Jirasek, M. (1993). “R-curve modeling of rate and size effects in quasibrittle fracture.” Int. J. Fract., 62(4), 355–373.
Bazant, Z. P., and Kazemi, M. T. (1990). “Determination of fracture energy, process zone length and brittleness number from size effect, with application to rock and concrete.” Int. J. Fract., 44(2), 111–131.
Bazant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials, CRC, Boca Raton, FL.
Bazant, Z. P., and Schell, W. F. (1993). “Fatigue fracture of high-strength concrete and size effect.” ACI Mater. J., 90(5), 472–478.
Bazant, Z. P., and Xu, K. (1991). “Size effect in fatigue fracture of concrete.” ACI Mater. J., 88(4), 390–399.
Brake, N. A. (2012). “The characterization of a plain concrete equivalent elastic fatigue crack resistance curve under various loading regimes.” Ph.D. dissertation, Michigan State Univ., East Lansing, MI.
Brake, N. A., and Chatti, K. (2012). “Prediction of transient and steady state flexural fatigue crack propagation in concrete using a cyclic R-curve.” J. Eng. Mech., 371–378.
Brake, N. A., and Chatti, K. (2013). “Prediction of size effect and non-linear crack growth in plain concrete under fatigue loading.” Eng. Fract. Mech., 109, 169–185.
Carpinteri, A, and Spagnoli, A. (2004). “A fractal analysis of size effect on fatigue crack growth.” Int. J. Fatigue, 26(2), 125–133.
Carpinteri, A. (2007). “Self-similarity and crack growth instability in the correlation between the Paris’ constants.” Eng. Fract. Mech., 74(7), 1041–1053.
Elices, M., and Rocco, C. G. (2008). “Effect of aggregate size on the fracture and mechanical properties of a simple concrete.” Eng. Fract. Mech., 75(13), 3839–3851.
Foote, R. L., Mai, Y. W., and Cotterell, B. (1986). “Crack growth resistance curves in strain softening materials.” J. Mech. Phys. Solids, 34(6), 593–607.
Gallops, S., Fett, T., Ager III, J. W., and Kruzic, J. J. (2011). “Fatigue threshold R-curves predict small crack fatigue behavior.” Acta Mater., 59(20), 7654–7661.
Jenq, Y. S., and Shah, S. P. (1985). “Two parameter fracture model for concrete.” J. Eng. Mech., 1227–1241.
Kruzic, J. J., Cannon, R. M., Ager III, J. W., and Ritchie, R. O. (2005). “Fatigue threshold R-curves for predicting reliability of ceramics under cyclic loading.” Acta Mater., 53(9), 2595–2605.
Kumar, S., and Barai, S. V. (2009). “Weight function approach for determining crack extension resistance based on the cohesive stress distribution in concrete.” Eng. Fract. Mech., 76(8), 1131–1148.
Li, V. C., and Matsumoto, T. (1998). “Fatigue crack growth analysis of fiber reinforced concrete with effect of interfacial bond degradation.” Cem. Concr. Compos., 20(5), 339–351.
Mai, Y. W. (2002). “Cohesive zone and crack-resistance (R)-curve of cementitious materials and their fiber-reinforced composites.” J. Eng. Fract. Mech., 69(2), 219–234.
Malvar, J., and Ross, A. (1998). “Review of strain rate effects for concrete in tension.” ACI Mater., 95(6), 735–739.
Miner, M. (1945). “Cumulative damage in fatigue.” J. Appl. Mech., 67, A159–A164.
Morel, S. (2007). “R-curve and size effect in quasibrittle fractures: Case of notched structures.” Int. J. Solids Struct., 44(13), 4272–4290.
Paris, P., and Erdogan, F. (1963). “A critical analysis of crack propagation laws.” J. Basic Eng. Trans. Am. Soc. Mech. Eng., 85(4), 528–534.
Ray, S., and Kishen, C. M. (2011). “Fatigue crack propagation model and size effect in concrete using dimensional analysis.” Mech. Mater., 43(2), 75–86.
Reinhardt, H. W., Cornilesson, H. W., and Hordijk, D. A. (1986). “Tensile tests and failure analysis of concrete.” J. Struct. Eng., 2462–2477.
Roe, K. L., and Siegmund, T. (2003). “An irreverisble cohesive zone model for interface fatigue crack growth simulation.” Eng. Fract. Mech., 70(2), 209–232.
Roesler, J., Paulino, G. H., Park, K., and Gaedicke, C. (2007). “Concrete fracture prediction using bilinear softening.” Cem. Concr. Compos., 29(4), 300–312.
Shah, S. P. (1990). “Size-effect method for determining fracture energy and process zone of concrete.” Mater. Struct., 23(6), 461–465.
Slowik, V., Plizzari, G. A., and Saouma, V. E. (1996). “Fracture of concrete under variable amplitude fatigue loading.” ACI Mater. J., 93(3), 272–283.
Subramaniam, K. V., Oneil, E. F., Popovics, J. S., and Shah, S. P. (2000). “Crack propagation in flexural fatigue of concrete.” J. Eng. Mech., 891–898.
Wecharatana, M., and Shah, S. P. (1983). “Predictions of nonlinear fracture process zone in concrete.” J. Eng. Mech., 1231–1246.
Xu, S., and Reinhardt, H. W. (1999). “Determination of double-K criterion for crack propagation in quasibrittle materials. I: Experimental investigation of crack propagation.” Int. J. Fract., 98(2), 111–149.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 29Issue 4April 2017

History

Received: Feb 2, 2016
Accepted: Jul 27, 2016
Published online: Oct 28, 2016
Discussion open until: Mar 28, 2017
Published in print: Apr 1, 2017

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Nicholas Andres Brake, Ph.D., A.M.ASCE https://orcid.org/0000-0002-4326-7800 [email protected]
Assistant Professor, Lamar Univ., Beaumont, TX 77710 (corresponding author). ORCID: https://orcid.org/0000-0002-4326-7800. E-mail: [email protected]
Karim Chatti, Ph.D., A.M.ASCE [email protected]
Professor, Michigan State Univ., East Lansing, MI 48824. E-mail: [email protected]

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