References
- Baluch, M. H, Qureshy, A. B. and Azad, A. K. (1987), "Fatigue crack propagation in plain concrete", SEM/RILEM Intl. Conf. on Fracture of Concrete and Rock, Houston, 80-87.
- Barenblatt, G. I. (1959), "Equilibrium cracks formed during brittle fracture", Prikl Mat Mech, 23.
- Bazant, Z. P. (1976), "Instability, ductility and size effect in strain-softening concrete", J. Eng. Mech., ASCE, 102, 331-344.
- Bazant, Z. P. (2002), "Concrete fracture model: testing and practice", Eng. Fract. Mech., 69, 165-205. https://doi.org/10.1016/S0013-7944(01)00084-4
- Bazant, Z. P. and Cedolin, L. (1979), "Blunt crack bond propagation in finite element analysis", J. Eng. Mech., ASCE, 105(2), 297-315.
- Bazant, Z. P. and William, F. Schell. (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.
- Cedolin, L., Deipoli, S. and Iori, I. (1987), "Tensile behaviour of concrete", J. Eng. Mech. ASCE, 113(3), 431-449. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:3(431)
- Du, J., Yon, J. H., Hawkins, N. M. and Kobayashi, A. S. (1990), "Analysis of the fracture process zone of a propagating concrete crack using moire interferometry in micromechanics of failure of quasi-brittle materials", Elsevier Applied Science. London, 146-155.
- Dugdale, D. S. (1960), "Yielding of steel sheets containing slits", J. Mech. Phy. Solids, 8.
- Figueiras, J. A. and Owen, D. R. J. (1984), "Nonlinear analysis of reinforced concrete shell structures", Int. Conf on Computer Aided Analysis and Design of Concrete Structures - Part I. Split, Yugoslavia, 509-532.
- Footer, M. L., Mai, Y. W. and Cotterell, B. (1986), "Crack growth resistance curves in strain-softening materials", J. Mech. Physics Solids, 34(6), 593-607. https://doi.org/10.1016/0022-5096(86)90039-6
- Gasser, Thomas C. and Holzapfel, Gerhard A. (2005), "Modeling 3D crack propagation in unreinforced concrete using PUFEM", Comput Methods Appl. Mech. Eng., 194, 2859-2896. https://doi.org/10.1016/j.cma.2004.07.025
- Gopalaratnam, V. S. and Shah, S. P. (1985), "Softening response of plain concrete in direct tension", ACI J., 82(3), 310-323.
- 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. https://doi.org/10.1016/0008-8846(76)90007-7
- Hordijk, D. A. (1991), "Local approach to fatigue of concrete", Ph.D thesis, Technical University of Delft.
- Ingraffea, A. R. (1977), "Discrete fracture propagation in rock: Laboratory tests and finite element analysis", Ph.D. Dissertation, University of Colorado. Boulder.
- Kaplan, M. E. (1961), "Crack propagation and fracture of concrete", J. American Concrete Inst., 58(5), 591-610.
- Liaw, B. M., Jeang, F. L., Du, J. J., Hawkins, N. M. and Kobayashi, A. S. (1990), "Improved nonlinear model for concrete fracture", J. Eng. Mech., ASCE, 116(2), 429-445. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:2(429)
- Mario, M. Attard and Francis, Tin-Loi (2005), "Numerical simulation of quasi-brittle fracture in concrete", Eng. Fract. Mech., 72(3), 387-411. https://doi.org/10.1016/j.engfracmech.2004.03.012
- Matsumoto, Takashi, and Li, Victor, C. (1999), "Fatigue life analysis of fiber reinforced concrete with a fracture mechanics based model", Cement Concrete Compos, 21, 249-261. https://doi.org/10.1016/S0958-9465(99)00004-9
- Mu, Bin, Subramaniam, V. K. and Shah, S. P. (2004), "Failure mechanism of concrete under fatigue compressive load", J. Mater. Civ. Eng-ASCE, 16(6), 566-572. https://doi.org/10.1061/(ASCE)0899-1561(2004)16:6(566)
- Perdikaris P. C. and Calomino (1987), "Kinetics of crack growth in plain concrete", Proc. Int. Conf. Fracture. of Concrete and Rock, Houston, 96-101.
- Prasad, M. V. K. V. and Krishnamoorthy, C. S. (2002), "Computational model for discrete crack growth in plain and reinforced concrete", Comput Methods Appl. Mech. Eng., 191, 2699-2725. https://doi.org/10.1016/S0045-7825(02)00210-4
- Raghu Prasad, B. K. and Vidya Sagar, R. (2006), "Numerical modelling of fracture and size effect in plain concrete", J. the Institution of Engineers (India), 86, 182-186.
- Ramsamooj, D. V. (1994), "Prediction of fatigue life of plain concrete beams from fracture tests", J. Test. Eval., 22(3), 183-194. https://doi.org/10.1520/JTE11810J
- Reinhardt, H. W. (1985), "Crack softening zone in plain concrete under static loading", Cement Concrete Res., 15, 42-52. https://doi.org/10.1016/0008-8846(85)90007-9
- Roelfstra, R. E. and Wittmann, F. H. (1986) "A numerical method to link strain softening with fracture in concrete fracture toughness and fracture energy in concrete", Elsevier Science, Amsterdam, 163-175.
- Shah, S. P., Swartz, S. E. and C Ouyang, C. (1995), Fracture Mechanics of Concrete: Applications of Fracture Mechanics to Concrete, Rock and other Quasi-brittle Material, John Wiley & Sons, Inc, New York.
- Slowik, V., Angelo, G. P. and Saouraa, V. E. (1996), "Fracture of concrete under variable amplitude fatigue loading", ACI Mater. J., 93(3), 272-283.
- Slowik, V., Beate Villmann, B., Bretschneider, N. and Villmann, T. (2006), "Computational aspects of inverse analyses for determining softening curves of concrete", Comput. Methods Appl. Mech. Eng., 195, 7223-7236. https://doi.org/10.1016/j.cma.2005.04.021
- Stuart, E. S. (1982), "Crack growth and fracture in plain concrete-Static versus fatigue loading", Proc. Fatigue of Concrete Structures, SP-75, 3, ACI, Detroit, 47-68.
- Subramaniam, V. K., Neil, E. F., Popovics, S. J. and Shah, S. P. (2000), "Crack propagation in flexural fatigue of concrete", J. Eng. Mech., 126(9), 891-898. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:9(891)
- Tada, H., Paris, P. C. and Irwin, G. R. (1985), The Stress Analysis of Cracks Handbook, 2nd ed., Paris Productions, St. Louis. MO.
- Toumi, Bascos A. and Turatsinze, A. (1998), "Crack propagation in concrete subjected to flexural cyclic loading", Mater. Struct., 31, 451-458. https://doi.org/10.1007/BF02480468
- Wu, Z., Yang, S., Hu, X. and Zheng, J. (2006), "An analytical model to predict the effective fracture toughness of concrete for three-point bending notched beams", Eng. Fract. Mech., 73(15), 2166-2191. https://doi.org/10.1016/j.engfracmech.2006.04.001
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