Tripartite Cohesive Crack Model
Publication: Journal of Engineering Mechanics
Volume 128, Issue 6
Abstract
A new multicomponent cohesive crack model for concrete is presented. The model, which is directly applicable to interface finite elements, has three main components termed undamaged, bridging, and fully debonded. The relative sizes of these components, each of which simulates a proportion of a representative material volume, change according to evolution functions that are developed from data from uniaxial cyclic tests on notched concrete specimens. The undamaged component is treated as elastic damaging, the bridging component has two subcomponents, which are elastoplastic and elastic with contact, and the fully debonded component is elastoplastic with contact. The relationships governing the normal-shear interactions are developed from experimental data on combined shear-tension tests on cracked concrete specimens. Comparisons with experimental data illustrate that the model is able to represent the cyclic behavior of cracked concrete in tension, full crack closure, the interaction between shear and normal behavior, and aggregate interlock behavior.
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References
ACI Committee 446. (1998). “Finite element analysis in concrete structures.” ACI Rep. No. 446.3R-97.
Bazant, Z. P., Caner, F. C., Carol, I., Adley, M. D., and Akers, S. A.(2000). “Microplane model M4 for concrete. I Formulation with work conjugate deviatoric stress.” J. Eng. Mech., 126(9), 944–953.
Bazant, Z. P., and Carol, I. (1995). “New developments in microplane/multicrack models for concrete.” Proc., FRAMCOS-2, F. Wittmann, ed., AEDIFICATIO, Freiburg, Germany, 841–856.
Bazant, Z. P., and Gambarova, P.(1980). “Rough cracks in reinforced concrete.” J. Struct. Eng., 106(4), 819–842.
Bazant, Z. P., and Oh, B. H.(1983). “Crack band theory for fracture in concrete.” Mater. Struct., 16(93), 155–177.
Carol, I., Prat, P. C., and López, C. M.(1997). “A normal-shear cracking model. Application to discrete crack analysis.” J. Eng. Mech., 123(8), 765–773.
Etse, G., and Willam, K.(1994). “Fracture energy formulation for inelastic behavior of plain concrete.” J. Eng. Mech., 120(9), 1983–2011.
Hassanzadeh, M. (1991).“Behavior of fracture process zones in concrete influenced by simultaneously applied normal and shear displacements.” PhD thesis, Lund Institute of Technology, Sweden.
Hillerborg, A., Modéer, M., and Petersson, P. E.(1976). “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res., 6, 773–782.
Hoek, E., and Brown, E. T.(1980). “Empirical strength criterion for rock masses.” J. Geotech. Eng. Div., Am. Soc. Civ. Eng., 106(9), 1013–1035.
Hordijk, D. A. (1991). “Local approach to fatigue of concrete.” PhD thesis, Delft Univ. of Technology, The Netherlands.
Jefferson, A. D. (1995). “Finite element modeling of the dynamic behavior of concrete structures under earthquake loading.” Proc., 6th Int. Conf. on Civil and Structural Engineering, B. H. V. Topping, ed., Civil-Comp., Edinburgh, Scotland, 147–154.
Jefferson, A. D. (2001). “Thermodynamics of a multicomponent crack model.” Proc., IUTAM Symposium on Analytical and Computational Fracture Mechanics of Nonhomogeneous Materials, B. L. Karihaloo, ed., Cardiff, U.K., Klavier Academic, Dordrecht, 377–386.
Jefferson, A. D. (2002). “A constitutive model for aggregate interlock on formed crack planes.” Int. J. Numer. Analyt. Meth. Geomech., 26, 1–21.
Larsson, R., and Runesson, K.(1996). “Element-embedded localization band based on regularized displacement discontinuity.” J. Eng. Mech., 122(5), 402–411.
Lee, J., and Fenves, G. L.(1998). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 124(8), 892–900.
Lubliner, J. (1990). Plasticity theory, Macmillan, London.
Luccioni, B., Oller, S., and Danesi, R.(1996). “Coupled plastic-damaged model.” Comput. Methods Appl. Mech. Eng., 129, 81–89.
Meschke, G., Lackner, R., and Mang, H. A.(1998). “An anisotropic elastoplastic-damage model for plain concrete.” Int. J. Numer. Methods Eng., 42, 703–727.
Nooru-Mohamed, M. B. (1992). “Mixed-mode fracture of concrete: An experimental approach.” PhD thesis, Delft Univ. of Technology, Delft, The Netherlands.
Oltofsson, T., Ohlsson, U., and Klisinski, M. (1995). “A simple fracture mechanics model for mixed mode failure in concrete.” Proc., FRAMCOS-2, F. Wittmann, ed., AEDIFICATIO, Freiburg, Germany, 473–482.
Ortiz, M., and Simo, J. C.(1986). “An analysis of a new class of integration algorithms for elastoplastic constitutive relations.” Int. J. Numer. Methods Eng., 23, 353–366.
Petrangeli, M., and Ozbolt, J.(1996). “Smeared crack approaches—Material modeling.” J. Eng. Mech., 122(6), 545–554.
Plesha, M. E., Ballarini, R., and Parulekar, A.(1989). “Constitutive model and finite element procedure for dilatant contact problems.” J. Eng. Mech., 115(12), 2649–2667.
Reinhardt, H. W.(1984). “Fracture mechanics of an elastic softening material like concrete.” Heron, Delft, The Netherlands, 29(2), 1–42.
Rots, J. G. (1988). “Computational modeling of concrete fracture.” PhD thesis, Delft Univ. of Technology, Delft, The Netherlands.
Simo, J. C., and Ju, J. W.(1987). “Relative displacement and stress based continuum damage models—I Formulation.” Int. J. Solids Struct., 23(7), 821–840.
Walraven, J. C., and Reinhardt, H. W. (1981). “Theory and experiments on the mechanical behavior of cracks in plain and reinforced concrete subjected to shear loading.” Heron 26(1A), Delft, The Netherlands.
van Mier, J. G. M. (1997). Fracture processes of concrete, CRC, Boca Raton, Fla.
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Copyright © 2002 American Society of Civil Engineers.
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Received: Jan 10, 2001
Accepted: Jun 15, 2001
Published online: May 15, 2002
Published in print: Jun 2002
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