Improved Lattice Model for Concrete Fracture
Publication: Journal of Engineering Mechanics
Volume 128, Issue 1
Abstract
An improved regular lattice network model is developed and validated for fracture of concrete structures. The improvements pertain to the inclusion of the tension softening response of the matrix phase, and of the modelling of structural response by incrementing the deformation rather than the load. A further development is the use of a regular square rather than a triangular lattice network to speed up the computations. These improvements eliminate the need for the introduction of arbitrary scaling parameters in the beam element failure criteria. Validation checks on notched three-point bend concrete specimens confirm the predictive capabilities of the improved lattice model with regard to both the load-deformation behavior and the energy dissipation mechanisms.
Get full access to this article
View all available purchase options and get full access to this article.
References
Alexander, K. M., Wardlaw, J., and Gilbert, D. J. (1968). “Aggregate-cement bond, cement paste strength and strength of concrete.” Proc., Int. Conf. on the Structure of Concrete, Cement and Concrete Association, 59–81.
Arslan, A., Schlangen, E., and van Mier, J. G. M. (1995). “Effect of model fracture law and porosity on tensile softening of concrete.” Proc., 2nd Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures, FRAMCOS-2, F. H. Wittmann, ed. Aedificatio Publishers, Freiburg, Germany, 1, 45–54.
Bazant, Z. P. (1985). “Fracture in concrete and reinforced concrete.” Mechanics of geomaterials, Z. P. Bazant, ed., Wiley, New York, 259–303.
Bazant, Z. P., and Pfeiffer, P. A.(1987). “Determination of fracture energy properties from size effect and brittleness number.” ACI Mater. J., 84, 463–480.
Bazant, Z. P., Tabbara, M. R., Kazemi, M. T., and Pijaudier-Cabot, G.(1990). “Random particle model for fracture of aggregate or fibre composites.” J. Eng. Mech., 116(8), 1686–1705.
Burt, N. J., and Dougill, J. W.(1977). “Progressive failure in a model hetorogeneous medium.” J. Eng. Mech., 103(3), 365–376.
Cosserat, E., and Cosserat, F. (1909). “Theorie des corps deformables.” Herman et fils, Paris.
Feng, S., Thorpe, M. F., and Garboczi, E. J.(1985). “Effective-medium theory of percolation on central-force elastic networks.” Phys. Rev. B, 31, 276–280.
Herrmann, H. J. (1991). “Patterns and scaling in fracture.” Fracture processes in concrete, rock and ceramics, J. G. M. van Mier, J. G. Rots, and A. Baker, eds., Chapman and Hall/E & FN Spon, London, 195–211.
Herrmann, H. J., Hansen, A., and Roux, S.(1989). “Fracture of disordered elastic lattices in two dimensions.” Phys. Rev. B, 39, 637–648.
Hrennikoff, A.(1941). “Solutions of problems of elasticity by the framework method.” J. Appl. Mech., 8, A169–A175.
Jenq, Y. S., and Shah, S. P.(1985a). “A fracture toughness criterion for concrete.” J. Eng. Fracture Mech.,21, 1055–1069.
Jenq, Y. S., and Shah, S. P.(1985b). “Two-parameter fracture model for concrete.” J. Eng. Mech., 111(10), 1227–1241.
John, R., and Shah, S. P.(1986). “Fracture of concrete subjected to impact loading.” J. Cem., Concr., Aggregates (ASTM), 8, 24–32.
Karihaloo, B. L., and Nallathambi, P.(1989). “An improved effective crack model for the determination of fracture toughness of concrete.” J. Cem. Concr. Res.,19, 603–610.
Nallathambi, P., and Karihaloo, B. L.(1986). “Determination of the specimen size independent fracture toughness of plain concrete.” Mag. Concr. Res.,38, 67–76.
RILEM FMT 89 (1991). Fracture mechanics tests methods for concrete, S. P. Shah and A. Carpinteri, eds., Chapman and Hall, London.
Roelfstra, P. E., Sadouki, H., and Wittmann, F. H.(1985). “Le beton numerique.” Mater. Struct., 18, 317–325.
Schlangen, E., and Garboczi, E.(1996). “New method for simulating fracture using an elastically uniform random geometry lattice.” Int. J. Eng. Sci., 34, 1131–1144.
Schlangen, E. (1993). “Experimental and numerical analysis of fracture processes in concrete.” PhD thesis, Delft Univ. of Technology, The Netherlands.
Schlangen, E., and van Mier, J. G. M.(1992). “Experimental and numerical analysis of micromechanisms of fracture of cement-based composites.” Cem. Concr. Comp.,14, 105–118.
Vervuurt, A. H. J. M. (1997). “Interface fracture in conrete.” PhD thesis, Delft Univ. of Technology, The Netherlands.
Vervuurt, A. H. J. M., van Mier, J. G. M., Schlangen, E. (1993). “Pull-out of steel anchors embedded in concrete.” Fracture damage of concrete and rock-FDRC-2, H. P. Rossmanith, ed., E&FN Spon., London, 569–578.
Walraven, J. C. (1980). “Aggregate interlock: a theoretical and experimental analysis.” PhD thesis, Delft Univ. of Technology, The Netherlands.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 1 • January 2002
Pages: 57 - 65
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Sep 7, 2000
Accepted: Mar 26, 2001
Published online: Jan 1, 2002
Published in print: Jan 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.