TECHNICAL PAPERS
Feb 1, 1989

Continuum Damage Theory—Application to Concrete

Publication: Journal of Engineering Mechanics
Volume 115, Issue 2

Abstract

This paper presents a review of the different models for concrete based on continuum damage theory, formulated at the Laboratoire de Mécanique et Technologie (Cachan, France). Derived in the framework of the thermodynamics of irreversible processes, each formulation is based on physical observation. Induced anisotropy, ductile behavior, and directional effects such as the closure of cracks are discussed and adequate damage models are proposed. Finally, the numerical implementations performed give a good description of the failure process as well as an accurate prediction of the behavior of concrete and reinforced concrete structures.

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References

1.
Bažant, Z. P. (1986). “Mechanics of distributed cracking.” Appl. Mech. Rev., ASME, 39(5), 675–705.
2.
Bažant, Z. P., Pan, J., and Pijaudier‐Cabot, G. (1987). “Softening in reinforced concrete beams and frames.” J. Struct. Engrg., ASCE, 113(12), 2333–2347.
3.
Bergues, J., and Terrien, M. (1981). “Study of concrete racking under multiaxial stresses. Advances in fracture research.” Preprints ICF5, Cannes, France, 2253–2260.
4.
Clement, J. L., Mazars, J., and Zaborski, A. (1985). “A damage model for concrete reinforcement bond in composite concrete structures.” Proc. Euromech. Col. 204, Structures and Crack Propagation in Brittle Matrix Composite Materials, Warsaw, Poland.
5.
Clement, J. L. (1987). “Interface acier‐béton et comportement des structures en béton armé: Caractérixation modélisation.” Thèse de Doctorat, L.M.T., Université Paris, France.
6.
Collombet, F., and Bergues, J. (1984). “Analyse de la Réponse élastique anisotrope du béton endommagé par une sollicitation multiqxiale.” Proc. Int. Conf. on Concrete under Multiaxial Conditions, Vol. 1, Toulouse, France, 93–103.
7.
Collombet, F. (1985). “Modélisation de l'endommagement anisotrope. Application au comportement du béton sous sollicitations multiaxiales.” Thèse de 3ème cycle, L.M.T., Université Paris, France.
8.
Cornelissen, H. A. W., Hordijk, D. A., and Reinhart, H. W. (1985). Experiments and theory for the application of fracture mechanics to normal and lightweight concrete.” Preprints Int. Conf. on Fracture Mech. of Concrete, Lausanne, Switzerland, 423–446.
9.
Dhir, R. H., and Sangha, M. (1974). “Development and propagation of microcracks in plain concrete.” Materials and Structures, RILEM, 37, 17–23.
10.
Dougill, J. W. (1983). “Constitutive relations for concrete and rock. Applications and extension of elasticity and plasticity theory.” Preprints W. Prager Symp. on Mechanics of Geomaterials: Rocks, Concrete, Soils, Northwestern Univ., Evanston, Ill.
11.
Dragon, A., and Mróz, Z. (1979). “A continuum model for plastic brittle behavior of rock and concrete,” Int. J. Eng. Sci. 17, 137–145.
12.
Dufailly, J. (1980). “Modélisation méchanique et identification de l'endommagement des métaux.” Thèse de 3ème cycle, L.M.T., Université Paris, France.
13.
Fafitis, A., and Shah, S. P. (1985). “Predictions of ultimate behavior of confined columns subjected to large deformations.” J. ACI, 85(45), 423–433.
14.
Gerstle, K. H., et al. (1980). “Behavior of concrete under multiaxial stress state.” J. Engrg. Mech. Div., ASCE, 106(6), 1383–1403.
15.
Goto, Y. (1971). “Cracks formed in concrete around deformed tension bars.” J. ACI, 68(4), 244–251.
16.
Guiaux, P., and Janss, J. (1974). “Charges ultimes des profils creux remplis de béton chargés axialement.” Pub. CRIF, MT 101, Liege, Belgique.
17.
Kachanov, L. M. (1958). “Time of rupture process under creep conditions.” Izvestia akademii nauk, USSR, 8, 26–31 (in Russian).
18.
Kostovos, M. D. (1980). “A mathematical model of the deformational behaviour of concrete under generalized stress based on fundamental material properties.” Matériaux et Constructions, 13(76), 289–298.
19.
Krajcinovic, D. (1983). “Constitutive equations for damaging material.” J. Appl. Mech., ASME, 50, 355–360.
20.
Ladeveze, P. (1983). “Sur une théorie de l'endommagement anisotrope.” Internal Report No. 34, L.M.T., Cachan, France.
21.
Ladeveze, P. (1986). “Sur la Mécanique de L'endommagement des composites.” Proc. 5ème J. Nat. des Composites, Paris, France, 667–683.
22.
Leckie, F. A. (1978). “Constitutive equations of continuum creep damage mechanics.” Phil. Trans. Royal Soc., A‐288, London, U.K., 27–47.
23.
Lemaitre, J., and Chaboche, J. L. (1978). “Aspect phénoménologique de la rupture par endommangement.” J. de Méc. Appl., 2, 317–365.
24.
Lemaitre, J., and Mazars, J. (1982). “Application de la théorie de l'endommagement au comportement non linéaire et à la rupture du béton de structure.” Annales de l'ITBTP, 401.
25.
Lemaitre, J., and Chaboche, J. L. (1985). Mécanique des matériaux solides. Dunod‐Bordas Ed., Paris, France.
26.
Lino, M. (1980). “Un modéle de matèriaux microfissuré.” Rev. Française de Géotech., 11, 29–41.
27.
Lutz, L., and Gergeley, P. (1967). “Mechanics of bond and slip of deformed bars in concrete.” J. ACI, 64(11), 711–721.
28.
Maso, J. C. (1982). “La liaison pâte‐granulats.” Le Béton Hydraulique, Pres. ENPC, Paris, France.
29.
Mazars, J. (1984). “Application de la mécanique de l'endommangement au comportement non linéaire et à la rupture du béton de structure.” Thèse de Doctorate d'Etat, L.M.T., Université Paris, France.
30.
Mazars, J. (1985). “A model of a unilateral elastic damageable material and its application to concrete.” Proc. RILEM Int. Conf. Fracture Mechanics of Concrete, Lausanne, Switzerland [Fracture toughness and fracture energy of concrete. (1986). Elsevier, New York, N.Y.].
31.
Mazars, J. (1986). “A description of micro and macroscale damage of concrete structures.” Engrg. Fract. Mech., 25(5/6), 729–737.
32.
Mazars, J., and Clement, J. L. (1987). “Modélisation de la liaison acier‐béton via la mécanique de l'endommagement.” Proc. 1st Cong. RILEM, Paris, France.
33.
Mazars, J., and La Borderie, C. (1987). “Comportement oligocyclique des bétons composites—Caractérisation, modélisation.” Internal Report No. 75, L.M.T., Cachan, France.
34.
Pande, G. N., and Sharma, K. G. (1982). “Multi‐laminate model of clays—A numerical evaluation of the influence of rotation of the principal stress axes.” Report, Dept. of Civ. Engrg., Univ. Coll. of Swansea U.K., and Proc., Symp. on Implementation of Computer Procedures and Stress‐Strain Laws in Geotechnical Engineering, Acorn Press, Chicago, Ill., 595‐590.
35.
Pijaudier‐Cabot, G. (1985). “Caractérisation et modélisation du comportement du béton par un essai multiaxial automatique.” Thèse de 3ème cycle, L.M.T., Université Paris, France.
36.
Pijaudier‐Cabot, G., and Mazars, J. (1985). “Essai automatique de caractérisation des matériaux—Application au béton sous sollicitations multiaxiales.” Journées AUGC, Lyon, France.
37.
Slate, F. O., and Oleski, S. (1963). “X‐rays for study of internal structure and microcracking of concrete.” J. ACI, 60, 575–588.
38.
Somayaji, S., and Shah, S. P. (1981). “Bond stress versus slip relationships and cracking response of tension members.” J. ACI, 78(3), 217–225.
39.
Tepfers, R. (1979). “Cracking of concrete cover along anchored deformed reinforced bars.” Magazine of Concrete Res., 31(106), 3–12.
40.
Terrien, M. (1980). “Emission acoustique et comportement mécanique post‐critique.” Bull. des Ponts et Chaus., 105, 65–72.
41.
Wastiels, J. (1980). “A softening plasticity model for concrete.” Proc. Int. Conf. Numerical Methods for Nonlinear Problems, Pineridge Press, Swansea, U.K., 481–493.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 2February 1989
Pages: 345 - 365

History

Published online: Feb 1, 1989
Published in print: Feb 1989

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J. Mazars
Maître de Conférences, Laboratoire de Mécanique et Technologie—Ecole Normale Supérieure de Cachan/C.N.R.S./Université Paris 6, 61 Avenue du Président Wilson, 94230, Cachan, France
G. Pijaudier‐Cabot, Student Member, ASCE
Formerly, Res. Asst., Ctr. for Concrete and Geomaterials, The Tech. Inst., Northwestern Univ., Evanston, IL 60208; presently Res. Assoc., Rensselaer Polytechnic Inst., Troy, NY 12180

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