Confinement-Shear Lattice Model for Concrete Damage in Tension and Compression: II. Computation and Validation
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Engineering Mechanics
Volume 129, Issue 12
Abstract
The concrete material model developed in the preceding Part I of this study is formulated numerically. The new model is then verified by comparisons with experimental data for compressive and tensile uniaxial tests, biaxial tests, and triaxial tests, as well as notched tests of mode I fracture and size effect.
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References
Balmer, G. G. (1949). “Shearing strength of concrete under high triaxial stress—Computation of Mohr’s envelope as a curve.” Struct. Res. Lab. Report No. SP-23, U.S. Dept. of the Interior and Bureau of Reclamation, Denver.
Bažant, Z. P.(1984). “Size effect in blunt fracture: Concrete, rock, metal.” J. Eng. Mech., 110(4), 518–535.
Bažant, Z. P.(2002a). “Concrete fracture models: Testing and practice.” Eng. Fract. Mech., 69, 165–205.
Bažant, Z. P. (2002b). Scaling of structural strength, Hermes-Penton, London.
Bažant, Z. P., and Becq-Giraudon, E. (2001). “Estimation of fracture energy from basic characteristics of concrete.” Fracture mechanics of concrete (Proc., FraMCoS-4 Int. Conf., Paris), R. de Borst, J. Mazars, G. Pijaudier-Cabot, and J. G. M. van Mier, eds., Lisse: Swets & Zeiftlinger, A. A. Balkema, Rotterdam, The Netherlands, 491–495.
Bažant, Z. P., and Cedolin, L. (1991). Stability of structures: Elastic, inelastic, fracture, and damage theories, Oxford University Press, New York.
Bažant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials, CRC Press, Boca Raton, Fla.
Bažant, Z. P., Tabarra, M. R., Kazemi, T., and Pijaudier-Cabot, G.(1990). “Random particle model for fracture of aggregate or fiber composites.” J. Eng. Mech., 116(8), 1686–1705.
Bažant, Z. P., and Yu, Q.(2002). “Choice of standard fracture test for concrete and its statistical evaluation. Int. J. Fracture, 118(4), Dec., 303–337.
Belytschko, T., Liu, W. K., and Moran, B. (2000). Nonlinear finite elements for continua and structures, Wiley, Chichester, U.K.
Broek, D. (1988). The practical use of fracture mechanics, Kluwer Academic, Dordrecht.
Caner, F. C., Bažant, Z. P., and Červenka, J.(2002). “Vertex effect in strain-softening concrete at rotating principal axes.” J. Eng. Mech., 128(1), 24–33.
Cedolin, L., Dei Poli, S., and Iori, I.(1987). “Tensile behavior of concrete.” J. Eng. Mech., 113(3), 431–449.
Cusatis, G., Bažant, Z. P., and Cedolin, L.(2003). “Confinement-shear lattice model for concrete damage in tension and compression: I. Theory.” J. Eng. Mech., 129(12), 1439–1448.
Green, S. J., and Swanson, S. R. (1973). “Static constitutive relation for concrete.” Rep. No. AFWL-TR-72-2, Air Force Weapons Lab., Albuquerque, N.M.
Hognestad, E., Hanse, N. W., and McHenry, D.(1955). “Concrete stress distribution in ultimate strength design.” ACI J., 52(4), 455–480.
Kupfer, H., Hildsorf, H. K., and Rüsch, H.(1969). “Behavior of concrete under biaxial stresses.” J. Am. Concr. Inst., 66, 656–666.
Mihashi, H., and Izumi, M.(1977). “Stochastic theory for concrete fracture.” Cem. Concr. Res., 7, 411–422.
Planas, J., Elices, M., and Guinea, G. V.(1992). “Measurement of the fracture energy using three-point bend tests: Part 2—Influence of bulk energy dissipation.” Mater. Struct., 25, 305–312.
Reinhardt, H. W., and Cornellissen, H. A. W.(1984). “Postpeak cyclicbehavior of concrete in uniaxial tensile and alternating tensile and compressive loading.” Cem. Concr. Res., 14, 263–270.
Sinha, B. P., Gerstle, K. H., and Tulin, L. G.(1964). “Stress–strain relations for concrete under cyclic loading.” J. Am. Concr. Inst., 62, 195–210.
Underwood, P. (1983). “Dynamic relaxation.” Computational methods for transient analysis 5, T. J. R. Hughes and T. B. Belytschko, eds., Elsevier Science, Amsterdam, The Netherlands, 245–265.
van Mier, J. G. M.(1986). “Multiaxial strain-softening of concrete. Part I: Fracture.” Mater. Struct., 19, 179–190.
van Mier, J. G. M., Shah, S. P., Arnaud, M., Balayssac, J. P., Bascoul, A., Choi, S., Dasenbrock, D., Ferrara, G., French, C., Gobbi, M. E., Karihaloo, B. L., Köning, G., Kotsovos, M. D., Labuz, J., Lange-Kornbak, D., Markeset, G., Pavlovic, M. N., Simsch, G., Thienel, K.-C., Turatsinze, A., Ulmer, M., van Geel, H. J. G. M., van Vliet, M. R. A., and Zissopoulos, D.(1997). “Strain-softening of concrete in uniaxial compression. Report of the Round Robin Test carried out by RILEM TC 148-SSC.” Mater. Struct., 30, 195–209.
van Vliet, M. R. A., and van Mier, J. G. M. (1995). “Softening behavior of concrete under uniaxial compression.” Fracture mechanics of concrete structures (FraMCoS-2, Zürich), F. H. Wittman, ed., Aedificatio, Freiburg, Germany, 383–396.
Vonk, R. A. (1992). “Softening of concrete loaded in compression.” PhD Thesis, Eindhoven Univ. of Technology, Eindhoven, The Netherlands.
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Published In
Journal of Engineering Mechanics
Volume 129 • Issue 12 • December 2003
Pages: 1449 - 1458
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Aug 26, 2002
Accepted: Feb 21, 2003
Published online: Nov 14, 2003
Published in print: Dec 2003
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