Strain‐Based Constitutive Model with Mixed Evolution Rules for Concrete
Publication: Journal of Engineering Mechanics
Volume 118, Issue 6
Abstract
The theories of continuum damage mechanics and plasticity are combined in a strain‐based phenomenological approach to yield an effective constitutive model for plain concrete. The model reproduces the majority of the typical behavior exhibited by plain concrete: anisotropic stiffness evolution, pressure‐dependent ductility and strength, postpeak dilation, recovery of stiffness upon reverse loading, and permanent deformations. The proposed combination of continuum damage mechanics and plasticity theory is unique in that: (1) A strain‐based formulation is used; (2) a separate “inelastic” surface is postulated for the tensile regime and the compressive regime; (3) the inelastic surfaces are used for both damage evolution and permanent deformation; and (4) an isotropic evolution law is used for compression and a kinematic law for tension. The model requires a modest number of material constants (10). Strain‐softening considerations are discussed, relative to implementation of the model into numerical methods for solution of boundary value problems; however, only laboratory data from tests on small specimens are evaluated. The model's effectiveness is shown through comparisons with three sets of experimental data.
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References
1.
Ashby, M. F., and Hallam, S. D. (1986). “The failure of brittle solids containing small cracks under compressive stress states.” Acta Metall., 34(3), 497–510.
2.
Bazant, Z. P., and Kim, S. S. (1979). “Plastic‐fracturing theory for concrete.” J. Engrg. Mech., ASCE, 115(3), 407–428.
3.
Bazant, Z. P., and Prat, P. C. (1988a). “Microphone model for brittle‐plastic material: I. Theory.” J. Engrg. Mech., ASCE, 114(10), 1672–1688.
4.
Bazant, Z. P., and Prat, P. C. (1988b). “Microplane model for brittle‐plastic material: II. Verification.” J. Engrg. Mech., ASCE, 114(10), 1689–1702.
5.
Bazant, Z. P., and Oh, B. H. (1985). “Microplane model for progressive fracture of concrete and rock.” J. Engrg. Mech., ASCE, 111(4), 559–582.
6.
Berthaud, Y., Laborderie, C., and Ramtami, S. (1990). “Damage modeling and crack closure effect.” Damage mechanics in engineering materials, 109, J. W. Ju, D. Krajcinovic, H. L. Schreyer, eds., ASME, New York, N.Y. 263–276.
7.
Chaboche, J.‐L. (1990). “On the description of damage induced anisotropy and active/passive damage effect.” Damage mechanics of engineering materials, 109, J. W. Ju, D. Krajcinovic, H. L. Schreyer, eds., ASME, New York, N.Y., 153–166.
8.
Dragon, A., and Mroz, Z. (1979). “A continuum theory for plastic‐brittle behavior of rock and concrete.” Int. J. Engrg. Sci., 17, 121–137.
9.
Frantziskonis, G., and Desai, C. S. (1987). “Constitutive model with strain softening.” Int. J. Solids Struct., 23(6), 733–750.
10.
Horii, H., and Nemat‐Nasser, S. (1986). “Brittle failure in compression: splitting, faulting and brittle‐ductile transition.” Phil. Trans. R. Soc. London, A 319, 337–374.
11.
Ju, J. W. (1989). “On energy‐based coupled elastoplastic damage theories: constitutive modeling and computational aspects.” Int. J. Solids Struct., 25(7), 803–833.
12.
Krajcinovic, D., and Fanella, D. (1986). “A micromechanical damage model for concrete.” Engrg. Fract. Mech., 25(5/), 585–596.
13.
Krajcinovic, D., and Sumarac, D. (1987). “Micromechanics of the damage processes.” Continuum damage mechanics, theory and applications, D. Krajcinovic and J. Lemaitre, eds., Springer Verlag, Berlin, Germany, 135–194.
14.
Kupfer, H., Hilsdorf, H. K., and Rusch, H. (1969). “Behavior of concrete under biaxial stresses.” J. ACI, 66(8), 656–666.
15.
Nemat‐Nasser, S., and Horiri, H. (1982). “Compression‐induced nonplanar crack extension with application to splitting exfoliation, and rockburst.” J. Geophys. Res., 87, 6805–6821.
16.
Ortiz, M. (1985). “A constitutive theory for the inelastic behavior of concrete.” Mech. of Mat, 4, 67–93.
17.
Ortiz, M., Leroy, Y., and Needleman, A. (1987). “A finite element method for localized failure analysis.” Comp. Meth. Appl. Mech. Engrg., 61, 189–214.
18.
Pijaudier‐Cabot, G., and Bazant, Z. P. (1987). “Nonlocal damage theory.” J. Engrg. Mech., ASCE, 113(10), 1512–1533.
19.
Pramono, E., and William, K. (1989). “Fracture energy‐based plasticity formulation of plain concrete.” J. Engrg. Mech., ASCE, 115(6), 1183–1204.
20.
Read, H. E., and Hegemier, G. A. (1984). “Strain softening of rock, soil, and concrete—a review article.” Mech. of Mat., 3, 271–294.
21.
Reinhardt, H. W., and Cornelissen, H. A. W. (1986). “Tensile tests and failure analysis of concrete.” J. Struct. Engrg., 112(11), ASCE, 2462–2477.
22.
Scavuzzo, R., Stankowski, T., Gerstle, K. H., and Ko, H. Y. (1983). “Stress‐strain curves for concrete under multiaxial load histories.” NSF CME‐80‐01508, Dept. of Civil Engrg., University of Colorado, Boulder, Colo.
23.
Simo, J. C., and Ju, J. W. (1987a). “Strain‐ and stress‐based continuum damage models—I. Formulation.” Solids Struct., 23(7), 821–840.
24.
Simo, J. C., and Ju, J. W. (1987b). “Strain‐ and stress‐based continuum damage models—I. Formulation.” Solids Struct., 23(7), 841–869.
25.
Smith, S. E. (1987). “On fundamental aspects of concrete behavior.” SRS Report 87‐12, Dept. of Civil, Envir., and Arch. Engrg., University of Colorado, Boulder, Colo.
26.
Stevens, D. J., and Krauthammer, T. (1989). “Nonlocal continuum damage/plasticity model for impulse loaded RC beams.” J. Struct. Engrg., ASCE, 115(9), 2329–2347.
27.
Yazdani, S., and Schreyer, H. L. (1990). “Combined plasticity and damage mechanics model for plain concrete.” J. Engrg. Mech., 116(7), 1435–1450.
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Copyright © 1992 ASCE.
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Published online: Jun 1, 1992
Published in print: Jun 1992
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