Abstract
Mixed-mode fracture in concrete is analysed using elastic-softening models and finite elements. Both a smeared crack concept and a discrete crack concept are deployed and emphasis is placed on the possibilities of these concepts for modelling stress rotations in fracture propagation problems. The example problems involve a CLWL-DCB specimen and a double-notched shear beam.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bažant, Z.P., and Oh, B.H., 1983, “Crack band theory for fracture of concrete,” Materiaux et Constructions, RILEM, Vol. 16, pp. 155–177.
Bažant, Z.P., and Pfeiffer, P.A., 1986, “Shear fracture tests of concrete,” Materiaux et Constructions, RILEM, Vol. 19, pp. 111-121.
Blaauwendraad, J., and Grootenboer, H.J., 1981, “Essentials for discrete crack analysis”, Final Report IABSE Colloquium on “Advanced Mechanics of Reinforced Concrete”, Delft University Press, Delft, The Netherlands, pp. 263–273.
de Borst, R., and Nauta, P., 1985, “Non-orthogonal cracks in a smeared finite element model”, Engineering Computations Vol. 2, pp. 35–46.
de Borst, R., 1986, “Non-linear analysis of fractional materials”, Dissertation, Delft University of Technology, Delft, The Netherlands, 140 pp.
de Borst, R., 1986, “Computation of post-bifurcation and post-failure behaviour of strain-softening solids”, Computers & Structures.
Goodman, R.E., Taylor, R.L., and Brekke, T.L., 1968, “A model for the mechanics of jointed rock”, Journal of the Soil Mechanics and Foundation Division, ASCE, Vol. 94, No. SM3, pp. 637–659.
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 and Concrete Research, Vol. 6, No. 6, pp. 773–782.
Hordijk, D.A., Reinhardt, H.W., and Cornelissen, H.A.W., 1987, “Fracture mechanics parameters of concrete from uniaxial tensile tests as influenced by specimen length”, Proc. Int. Conf. on Fracture Mechanics of Concrete and Rock, S.E. Swartz, S.P. Shah et al. Ed., to be held in Houston.
Ingraffea, A.R., and Saouma, V., 1985, “Numerical modelling of discrete crack propagation in reinforced and plain concrete”, Chapter 4 in Fracture Mechanics of Concrete, G.C. Sih, A. DiTomasso Eds., Martinus Nijhoff Publishers, Dordrecht, pp. 171–225.
Kobayashi, A.S., Hawkins, M.N., Barker, D.B., Liaw, B.M., 1985, “Fracture process zone of concrete”, Application of Fracture Mechanics to Cementitious Composites, S.P. Shah Ed., Martinus Nijhoff Publishers, Dordrecht, pp. 25–50.
Litton, R.W., 1974, “A contribution to the analysis of concrete structures under cyclic loading,” Dissertation, University of California, Berkeley.
van Mier, J.G.M., 1986, “Fracture of concrete under complex stress”, HERON, Vol. 31, No. 3, 90 pp.
Milford, R.V., and Schnobrich, W.C., 1984, “Numerical model for cracked reinforced concrete”, Computer-Aided Analysis and Design of Concrete Structures, F. Damjanic et al. Eds., Pineridge Press, Swansea, Part 1, pp. 261–273.
Ngo, D., and Scordelis, A.C., 1967, “Finite element analysis of reinforced concrete beams, Journal of the American Concrete Institute, Vol. 64, No. 14, pp. 152–163.
Oldenburg, M., 1985, “Finite element analysis of tensile fracturing structures”, Licentiate Thesis 1985:01 OL, Div. of Comp. Aided Analysis and Design, Lulea University of Technology, Lulea, Sweden, 74 pp.
Reinhardt, H.W., Cornelissen, H.A.W., and Hordijk D.A., 1986, “Tensile tests and failure analysis of concrete”, Journal of Structural Engineering, Vol. 112, No. 11, pp. 2462–2477.
Rots, J.G., Nauta, P., Kusters, G.M.A., and Blaauwendraad, J., 1985, “Smeared crack approach and fracture localization in concrete,” HERON, Vol. 30, No. 1, 48 pp.
Rots, J.G., 1986, “Strain-softening analysis of concrete fracture specimens”, Fracture Toughness and Fracture Energy of Concrete, F.H. Wittmann Ed., Elsevier Science Publ., Amsterdam, pp. 137–148.
Rots, J.G., and de Borst R., 1987, “Analysis of mixed-mode fracture in concrete”, submitted for publication in Journal of Engineering Mechanics, ASCE.
Rots, J.G., Hordijk, D.A., and de Borst, R., 1987, “Numerical simulation of concrete fracture in ‘direct’ tension”, Proc. Fourth Int. Conf. on Numerical Methods in Fracture Mechanics, A.R. Luxmoore et al. Eds., Pineridge Press, Swansea.
Suidan, M. and Schnobrich, W.C., 1973, “Finite element analysis of reinforced concrete,” Journal of the Structural Division, ASCE, Vol. 99, No. 10, pp. 2109–2122.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag New York Inc.
About this paper
Cite this paper
Rots, J.G., Kusters, G.M.A., Blaauwendraad, J. (1989). Strain-Softening Simulations of Mixed-Mode Concrete Fracture. In: Shah, S.P., Swartz, S.E. (eds) Fracture of Concrete and Rock. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3578-1_18
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3578-1_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96880-3
Online ISBN: 978-1-4612-3578-1
eBook Packages: Springer Book Archive