Abstract
The possibilities of smeared and discrete crack concepts for simulating localized fracture in softening materials are investigated. First, comparisons are made between fixed, multi-directional and rotating smeared cracks, whereby the crack orientation is kept constant, updated in a stepwise manner or updated continuously, respectively. Next, the smeared approaches are compared to analyses on systems of predefined potential discrete cracks. Results indicate that (1) fixed smeared cracks may produce overstiff behavior while rotating smeared cracks do not, (2) smeared cracks may give rise to stress-locking while discrete cracks do not. Examples are shown for concrete and masonry.
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References
S. Balakrishnan and D.W. Murra, IABSE Reports 54, Colloquium on Computation Mechanics of Reinforced Concrete, Delft University (1978) 393–404.
K. William, E. Pramono and S. Sture, in Fracture of Concrete and Rock, S.P. Shah and S.E. Swartz (eds.), SEM, Bethel (1987) 192–207.
F. Barzegar, ASCE Journal of Structural Engineering 115 (3) (1989) 647–665.
M.A. Crisfield and J. Wills, ASCR Journal of Engineering Mechanics 115 (3) (1989) 578–597.
D. Ngo and A.C. Scordelis, Journal of the American Concrete Institute 64 (14) (1967) 152–163.
R.E. Goodman, R.L. Taylor and T.L. Brekke, ASCE Journal of Solid Mechanics and Foundation Division 94 (3) (1968) 637–659.
J.G. Rots, Computational Modeling of Concrete Fracture, Dissertation, Delft University of Technology, Faculty of Civil Engineering (1988).
J.-M. Hohberg and H. Bachmann, in Numerical Methods in Geomechanics, G. Swoboda (ed.), Balkema Rotterdam (1988) 829–834.
R. de Borst and P. Nauta, Engineering Computations 2 (1985) 35–46.
J.G. Rots, P. Bauta, G.M.A. Kusters and J. Blaauwendraad, HERON 30 (1) (1985) 1–48.
Z.P. Bazant, ASCE Journal of Engineering Mechanics 109 (3) (1983) 849–865.
A.K. Gupta and H. Akbar, ASCE Journal of Structural Engineering 110 (8) (1984) 1735–1746.
A. Hillerbordg, M. Modeer and P.E. Petersson, Cement and Concrete Research 6 (6) (1976) 773–782.
Z.P. Bazant and B.H. Oh, RILEM Materials and Structures 16 (93) (1983) 155–177.
H.W. Reinhardt, H.A.W. Cornelissen and D.A. Hordijk, ASCE Journal of Structural Engineering 112 (11) (1986) 2462–2477.
J.G. Rots and R. de Borst, International Journal of Solids and Structures, accepted for publication.
M. Arrea and A.R. Ingraffea, Report 81–13, Department of Structural Engineering, Cornell University, Ithaca, New York (1982).
A.S. Kobayashi, M.N. Hawkins, D.B. Barker and B.M. Liaw, in Application of Fracture Mechanics to Cementitious Composites, S.P. Shah (ed.), Nijhoff Publishers, Dordrecht (1985) 25–50.
Y.S. Jenq and S.P. Shah, International Journal of Fracture 38 (1988) 122–142.
J.G.M. van Mier and M.B. Nooru-Mohamed, in Fracture Toughness and Fracture Energy-Test Methods for Concrete and Rock, H. Mihashi et al. (eds.), Tohoku University, Sendai, Japan (1988) 433–447.
M. Suidan and W.C. Schnobrich, ASCE Journal of the Structural Division 99 (10) (1973) 2109–2122.
J.G. Rots and R. de Borst, ASCE Journal of Engineering Mechanics 113 (11) (1987) 1739–1758.
R. de Borst, Computers and Structures 25 (2) (1987) 211–224.
J. Lubliner, J. Oliver, S. Oller and E. Onate, International Journal of Solids and Structures 25 (3) (1989) 229–326.
J.G. Rots, in Fracture Toughness and Fracture Energy-Test Methods for Concrete and Rock, Tohoku University, Sendai, Japan (1988) 285–300.
Sk.S. Ali and A.W. Page, ASCER Journal of Structural Engineering 114 (8) (1988) 1761–1784.
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Rots, J.G. Smeared and discrete representations of localized fracture. Int J Fract 51, 45–59 (1991). https://doi.org/10.1007/BF00020852
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DOI: https://doi.org/10.1007/BF00020852