TECHNICAL PAPERS
Sep 1, 1993

Damage Model for Concrete Using Bounding Surface Concept

Publication: Journal of Engineering Mechanics
Volume 119, Issue 9

Abstract

A continuum damage mechanics model for monotonic and cyclic behavior of concrete is developed. The model adopts a bounding surface concept in which the introduced bounding surface, loading surface, and initial fracture surface are chosen to be functions of the maximum accumulated damage ever experienced by the material. The initial fracture surface is the onset of fracture propagation, i.e., damage growth occurs only when the loading surface lies outside the initial fracture surface. The proposed model recognizes the different behavior of concrete in tension and compression, hence the damage due to tensile stresses is assumed to grow independently from the damage due to compressive stresses and separate compliance matrices are introduced for tension and compression. Both hardening and softening behavior of concrete are displayed by the proposed damage‐bounding surface. The model successfully predicts the essential characteristics of concrete behavior such as the nonlinearity, stiffness degradation, shear compaction dilatancy, different behavior of concrete in tension and compression, and the strain‐softening behavior.

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References

1.
Bazant, Z. P. (1976). “Instability, ductility and size effect in strain‐softening concrete.” J. Engrg. Mech., ASCE, 102(2), 331–344.
2.
Bazant, Z. P. (1978). “On endochronic inelasticity and incremental plasticity.” Int. J. Solids Struct., 14(9), 691–714.
3.
Bazant, Z. P., and Lin, F. B. (1988). “Nonlocal smeared cracking model for concrete fracture.” J. Struct. Engrg., ASCE, 114(11), 2493–2510.
4.
Buyukozturk, O., Nilson, A. H., and Slate, F. O. (1971). “Stress‐strain response and fracture of concrete model in biaxial loading.” J. Amer. Concrete Inst., 590–599.
5.
Buyukozturk, O., and Tseng, T. M. (1984). “Concrete in biaxial cyclic compression.” J. Struct. Engrg., ASCE, 110(3), 461–476.
6.
Cedolin, L., Crutzen, Y. R. J., and Deipoli, S. (1977). “Triaxial stress‐strain relationship for concrete.” J. Engrg. Mech. Div., ASCE, 103(3), 423–439.
7.
Chen, E., and Buyukozturk, O. (1985). “Constitutive model for concrete in cyclic compression.” J. Engrg. Mech. Div., ASCE, 111(6), 797–813.
8.
Chow, C. L., and Wang, J. (1987). “An anisotropic theory of elasticity for continuum damage mechanics.” Int. J. Fract., 33, 3–16.
9.
Dafalias, Y. F. (1986). “Bounding surface plasticity—I. Mathematical foundation and hypoplasticity.” J. Engrg. Mech., 112(9), 966–987.
10.
Dafalias, Y. F., and Popov, E. P. (1977). “Cyclic loading for material with a vanishing elastic region.” Nucl. Eng. Des., 44, 293–302.
11.
Fardis, M. N., Alibe, B., and Tassoulas, J. L. (1983). “Monotonic and cyclic constitutive law for concrete.” J. Engrg. Mech., ASCE, 109(2), 516–536.
12.
Gopalaratnam, V. S., and Shah, S. P. (1985). “Softening response of plain concrete in direct tension.” Amer. Concrete Inst. J., 310–323.
13.
Han, D. J., and Chen, W. F. (1985). “A nonuniform hardening plasticity model for concrete material.” J. Mech., 4(4), 283–302.
14.
Karsan, I. D., and Jirsa, J. O. (1969). “Behavior of concrete under compressive loading.” J. Struct. Div., ASCE, 95(12), 2543–2563.
15.
Kotsovos, M. D., and Newman, J. B. (1980). “A mathematical description of performational behavior of concrete under generalized stress beyond ultimate strength.” Amer. Concrete Inst. J., 77(5), 340–346.
16.
Krajcinovic, D. (1983). “Continuum damage mechanics.” Applied Mech. Review, 37(1), 1–6.
17.
Krajcinovic, D., and Fanella, D. (1986). “A micromechanical damage for concrete.” Eng. Fract. Mech., 25(5/6), 585–596.
18.
Krajcinovic, D., and Fonseka, G. U. (1981). “The continuous damage theory of brittle materials.” J. Appl. Mech. Trans. ASME, 48, 809–824.
19.
Krajcinovic, D., and Selvaraj, S. (1983). “Constitutive equations for concrete.” Proc. Int. Conf. on Constitutive Laws for Engrg. Materials, Tucson, 393–406.
20.
Kupfer, H., Hilsdorf, H. K., and Rusch, H. (1969). “Behavior of concrete under biaxial stress.” ACI J., 66(8), 656–666.
21.
Launay, P., and Gachon, H. (1970). “Strain and ultimate strength of concrete under triaxial stress.” Special Publication SP‐34, Amer. Concrete Inst. J., 1, 269–282.
22.
Mazars, J. (1986). “A description of micro‐ and macroscale damage of concrete structures.” Eng. Fract. Mech., 25(5/6), 729–737.
23.
Mazars, J., and Cabot, G. P. (1989). “Continuum damage theory—application to concrete.” J. Engrg. Mech., ASCE, 115(2), 345–365.
24.
Meier, R. W., Ko, H. Y., and Sture, S. (1985). “A direct tensile loading apparatus combined with a cubical test for testing rocks and concrete.” Geotech. Test. J., 4(2), 71–78.
25.
Nemat‐Nasser, S. (1976). “On nonequilibrium thermodynamics of continua.” Mechanics Today, S. Nemat‐Nasser, ed., Vol. 2, Pergamon Press Inc., New York, N.Y., 94–158.
26.
Ortiz, M. (1985). “A constitutive theory for the inelastic behavior of concrete.” Mech. Mater., 4(1), 67–93.
27.
Ottosen, N. S. (1977). “A failure criterion for concrete.” J. Engrg. Mech. Div., ASCE, 103(4), 527–535.
28.
Scavuzzo, R., Stankowski, T., Gerstle, K. H., and Ko, H. Y. (1983). Stress‐strain curves for concrete under multiaxial load histories. Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder, Colo.
29.
Suaris, W., Ouyang, C., and Fernando, V. (1990). “Damage model for cyclic loading of concrete.” J. Engrg. Mech., ASCE, 116(5), 1020–1034.
30.
Tasuji, M. E., Slate, F. O., and Nilson, A. H. (1978). “Stress‐strain response and fracture of concrete in biaxial loading.” Amer. Concrete Inst. J., 75(7), 306–312.
31.
Voyiadjis, G. Z., and Abu‐Lebdeh, T. M. (1992). “Biaxial testing of repaired concrete.” J. Amer. Concrete Inst. Materials, 89(6), 564–573.
32.
Willam, K. J., Pramono, E., and Sture, S. (1985). “Stability and uniqueness of strain‐softening computations.” Finite element methods for nonlinear problems, Bergan, P. G., Bathe, K.‐J., and Wunderlich, W., eds., Springer Verlag, Berlin, Germany, 119–142.
33.
Yazdani, S., and Schreyer, H. L. (1990). “Combined plasticity and damage mechanics model for plain concrete.” J. Engrg. Mech., ASCE, 116(7), 1435–1450.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 119Issue 9September 1993
Pages: 1865 - 1885

History

Received: Jul 2, 1992
Published online: Sep 1, 1993
Published in print: Sep 1993

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Authors

Affiliations

George Z. Voyiadjis, Member, ASCE
Prof., Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, LA 70803
Taher M. Abu‐Lebdeh
Instructor and Director of Materials Laboratory, Civil Engineering Technology, Guilford Technical College, Jamestown, NC; formerly, Grad. Student, Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, LA 70803

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