An anisotropic damage mechanics model is presented to describe the behavior and failure of concrete under biaxial fatigue loading. Utilizing the approach of bounding surfaces, the limit surface becomes a special case when the number of loading cycles is set to one. By increasing the number of loading cycles, the strength of concrete gradually decreases and the limit surface is allowed to contract and form new curves representing residual strengths. The magnitude of loading, load range, and the load path are known to influence the fatigue life and hence are addressed in this formulation. In this paper, a strength softening function is proposed in order to address the reduction in the strength of concrete due to fatigue. Separate softening functions are also proposed to account for the deformation characteristics in concrete under cyclic loading. Numerical simulations predicted by the model in both uniaxial and biaxial stress paths show a good correlation with the experimental data available in the literature.
Cite this paper
|||Gao, L. and Hsu, C.-T.T. (1998) Fatigue of Concrete Under Uniaxial Compression Cyclic Loading. ACI Materials Journal, 95, 578-581.|
|||Aas-Jakobsen, K. and Lenschow, R. (1973) Behavior of Reinforced Columns Subjected to Fatigue Loading. ACI Journal Proceedings, 70, 199-206.|
|||Petkovic, G., Lenschow, R., Stemland, H. and Rosseland, S. (1990) Fatigue of High-Strength Concrete. ACI Special Publication, 121, 505-526.|
|||Awad, M.E. (1971) Strength and Deformation Characteristics of Plain Concrete Subjected to High Repeated and Sustained Loads. University of Illinois Engineering Experiment Station, College of Engineering, University of Illinois, Urbana-Champaign.|
|||Holmen, J.O. (1982) Fatigue of Concrete by Constant and Variable Amplitude Loading. ACI Special Publication, 75, 71-110.|
|||Zhang, B., Phillips, D. and Wu, K. (1996) Effects of Loading Frequency and Stress Reversal on Fatigue Life of Plain Concrete. Magazine of Concrete Research, 48, 361-375.
|||Hordijk, D. and Reinhardt, H. (1993) Numerical and Experimental Investigation into the Fatigue Behavior of Plain Concrete. Experimental Mechanics, 33, 278-285.
|||Hsu, T.T. (1981) Fatigue of Plain Concrete. ACI Journal Proceedings, 78, 292-305.|
|||Kim, J.-K. and Kim, Y.-Y. (1996) Experimental Study of the Fatigue Behavior of High Strength Concrete. Cement and Concrete Research, 26, 1513-1523.
|||Paskova, T. and Meyer, C. (1997) Low-Cycle Fatigue of Plain and Fiber-Reinforced Concrete. ACI Materials Journal, 94, 273-286.|
|||Nelson, E.L., Carrasquillo, R.L. and Fowler, D.W. (1988) Behavior and Failure of High-Strength Concrete Subjected to Biaxial-Cyclic Compression Loading. ACI Materials Journal, 85, 248-253.|
|||Su, E.C. and Hsu, T.T. (1988) Biaxial Compression Datigue and the Discontinuity of Concrete. ACI Materials Journal, 85, 178-188.|
|||Yin, W. and Hsu, T.C. (1995) Fatigue Behavior of Steel Fiber Reinforced Concrete in Uniaxial and Biaxial Compression. ACI Materials Journal, 92, 71-81.|
|||Lu, P.Y., Li, Q.B. and Song, Y.P. (2007) Behavior of Concrete under Nonproportional Biaxial Fatigue Stresses with One Constant. ACI Materials Journal, 104, 3.|
|||Buyukozturk, O. and Tseng, T.-M. (1984) Concrete in Biaxial Cyclic Compression. Journal of Structural Engineering, 110, 461-476.
|||Wen, C., Yazdani, S., Kim, Y.J. and Abdulrahman, M. (2012) Bounding Surface Approach to the Modeling of Anisotropic Fatigue Damage in Woven Fabric Composites. Open Journal of Composite Materials, 2, 125-132.
|||Ortiz, M. (1985) A Constitutive Theory for the Inelastic Behavior of Concrete. Mechanics of Materials, 4, 67-93.
|||Yazdani, S. (1993) On a Class of Continuum Damage Mechanics Theories. International Journal of Damage Mechanics, 2, 162-176.
|||Saboori, A., Yazdani, S., Reberg, A. and Tolliver, D. (2014) Anisotropic Damage Modeling of Concrete Subjected to Freeze-Thaw Process. International Journal of Civil & Structural Engineering, 5, 42-52.|
|||Qiao, P. and Yang, M. (2006) Fatigue Life Prediction of Pultruded E-Glass/Polyurethane Composites. Journal of Composite Materials, 40, 815-837.