TECHNICAL PAPERS
Apr 1, 1995

Nonlinear Behavior of Concrete Dams Using Damage Mechanics

Publication: Journal of Engineering Mechanics
Volume 121, Issue 4

Abstract

This paper presents damage-mechanics-based models for predicting the nonlinear static response of unreinforced concrete dams. An anisotropic formulation of the damage because of cracking is proposed. It leads to a reasonable finite-element mesh size. Correct convergence of energy dissipation is ensured by using the energy equivalence concept. The proposed expression for the evolution of damage is a function of the basic properties of concrete strength, fc and ft, and the fracture energy G f . Three examples are presented to illustrate the performance and accuracy of the proposed formulation. The first example compares the numerical results with experimental measurements obtained from a reduced model of a concrete dam. The second example uses Koyna dam as a test case to compare the damage mechanics theory with other theories on cases of reservoir overflow. The last example investigates the influence of initial damage on the seismic response of a gravity dam analyzed using the equivalent static loads.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bazant, Z. P.(1986). “Mechanics of distributed cracking.”Appl. Mech. Rev., 39(5), 675–705.
2.
Bazant, Z. P., and Belytschko, T. (1985). “Wave propagation in a strain softening bar; exact solution.”J. Engrg. Mech., ASCE, III(3), 381–389.
3.
Bazant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.”Mat. and Struct., Vol. 16, 155–177.
4.
Bazant, Z. P., and Pijaudier-Cabot, G. (1988). “Non local continuum damage localization instability and convergence.”J. Appl. Mech., 55(June), 287–293.
5.
Bhattacharjee, S. S., and Léger, P.(1994). “Application of NLFM models to predict cracking in concrete gravity dams.”J. Struct. Engrg., ASCE, 120(12), 1255–1271.
6.
Carpinteri, A., Valente, S., Ferrara, G., and Imperato, L. (1992). “Experimental and numerical fracture modeling of a gravity dam.”Fracture mechanics of concrete structures, Z. P. Bazant, ed., Elsevier Applied Science, New York, N.Y., 351–360.
7.
Cervenka, V., and Pukl, R. (1992). “Computer models of concrete structures.”Struct. Engrg. Int., (2), 102–107.
8.
Cervera, M., Oliver, J., and Galindo, H. (1992). “Numerical analysis of dams with extensive cracking resulting from concrete hydration simulation of real case.”Dam Engrg., III(1), 1–22.
9.
Chopra, A. K., and Chakrabarti, P.(1972). “The earthquake experience at Koyna dam and stresses in concrete gravity dams.”Earthquake Engrg. and Struct. Dynamics, 1(1), 151–164.
10.
Chow, C. L., and Lu, T. J. (1991). “A continuum damage mechanics approach to crack tip loading in brittle solids.”Int. J. Fracture, Vol. 50, 59–114.
11.
Chow, C. L., and Wang, J. (1987). “An anisotropic theory of elasticity for continuum damage mechanics.”Int. J. Fracture, Vol. 33, 3–16.
12.
Cordebois, J. P., and Sidoroff, F. (1979). “Endommagement anisotrope en élasticité et plasticité.”J. de Mécanique théorique et appliquée, Paris, France 45–60.
13.
Crisfield, M. A.(1981). “A fast incremental iterative procedure that handles snap-through.”Computers and Struct., 13(1), 55–62.
14.
de Borst, R. (1987a). “Smeared cracking, plasticity, creep and thermal loading—a unified approach.”Computer Methods in Appl. Mech. and Engrg., Vol. 62, 89–110.
15.
de Borst, R.(1987b). “Computation of post-bifurcation and post-failure behavior of strain-softening solids.”Computers and Struct., 25(2), 211–224.
16.
de Borst, R. (1991). “Simulation of strain localization a reappraisal of the Cosserat continuum.”Engrg. Computations, Vol. 8, 317–332.
17.
DiTommaso, A.(1984). “Evaluation of concrete fracture.”Fracture mechanics of concrete: material characterisation and testing,” A. Carpinteri and A. R. Ingraffea, eds., Martinus Nijhoff Publishers, The Hague, The Netherlands, 2, 31–65.
18.
Fenves, G., and Chopra, A. K.(1987). “Simplified earthquake analysis of concrete gravity dams.”J. Struct. Engrg., ASCE, 113(8), 1688–1708.
19.
Ghrib, F. (1994). “Sur l'analyse de la fissuration des barrages en béton par la mécanique de l'endommagement continu. Comportement statique et dynamique,” PhD thesis, Dept. of Civ. Engrg., Ecole Polytechnique de Montréal, Montreal, Quebec, Canada (in French).
20.
Ghrib, F., and Tinawi, R. (1995). “An application of damage mechanics for seismic analysis of concrete gravity dams.”Earthquake Engrg. and Struct. Dynamics, 24(2).
21.
Gioia, G., Bazant, Z. P., and Pohl, B. P.(1992). “Is no tension dam design always safe? a numerical study.”Dam Engrg., 3(1), 23–34.
22.
Ingraffea, A. R., and Saouma, V. E. (1985). “Numerical modeling of discrete crack propagation in reinforced and plain concrete.”Fracture mechanics of concrete: structural application and numerial calculation, G. C. Sih, and A. DiTommaso, eds., Martinus Nijhoff, The Hague, The Netherlands, 171–225.
23.
Ju, J. W.(1989). “Isotropic and anisotropic damage variables in continuum damage mechanics.”J. Engrg. Mech., ASCE, 116(12), 2764–2770.
24.
Krajcinovic, D. (1989). “Damage mechanics.”Mech. of Mat., Vol. 8, 117–197.
25.
Léger, P., Venturelli, J., and Bhattacharjee, S.(1993). “Seasonal temperature and stress distribution in concrete gravity dams. Parts 1 and 2.”Can. J. Civ. Engrg., Ottawa, Canada, 20(6), 999–1029.
26.
Lemaître, J., and Chaboche, J. L. (1989). “Aspect phénoménologique de la rupture par endommagement.”J. de mécanique appliquée, Paris, France, Vol. 23, 317–367.
27.
Lemaître, J.(1986). “Local approach of Fracture.”Engrg. Fracture Mech., 25(5/6), 523–537.
28.
Loret, B., and Prévost, J. H.(1991). “On the existence of solutions in layered elasto-(visco) plastic solids with negative hardening.”Eur. J. Mech. A/Solids, Paris, France, 10(6), 575–586.
29.
Lubliner, J., Oliver, J., Oller, S., and Onate, E.(1989). “A plastic-damage model for concrete.”Int. J. Solids Struct., 25(3), 299–326.
30.
Mazars, J., and Pijaudier-Cabot, G.(1989). “Continuum damage theory—application to concrete.”J. Engrg. Mech., ASCE, 115(2), 345–365.
31.
Mazars, J., Pijaudier-Cabot, G., and Saouridis, C. (1991). “Size effect and continuous damage in cimentitious materials.”Int. J. Fracture, Vol. 51, 159–171.
32.
Mitchell, D., Tinawi, R., and Law, T.(1990). “Damage caused by the November 25, 1988, Saguenay earthquake.”Can. J. Civ. Engrg., Ottawa, Canada, 17(3), 338–365.
33.
Needleman, A. (1988). “Material rate dependance and mesh sensitivity in localization problems.”Computer Methods in Appl. Mech. and Engrg., Vol. 67, 69–85.
34.
Oliver, J., Cervera, M., Oller, S., and Lubliner, J. (1990). “Isotropic damage models and smeared crack.”Computer aided analysis and design of concrete structures, N. Bicanic and H. Mang, eds., Pineridge Press, Swansea, England, 945–957.
35.
Pietruszczak, S. T., and Mroz, Z. (1981). “Finite element analysis of deformation of strain softening materials.”Int. J. Numerical Methods in Engrg., Vol. 17, 327–334.
36.
Pijaudier-Cabot, G., Bazant, Z. P., and Tabbara, M. (1988). “Comparison of various models for strain softening.”Engrg. Computations, Vol. 5, 141–150.
37.
Pramono, E., and Willam, K.(1989). “Fracture energy based plasticity formulation of plain concrete.”J. Engrg. Mech., ASCE, 115(6), 1183–1204.
38.
Rashid, Y. R., Barrett, P. R., and Foadian, H. (1991). “A new computational method for crack initiation and propagation in concrete dams.”Dam fracture, V. Saouma, R. Dungar, and D. Morris, eds., 129–145.
39.
Rots, J. G. (1991). “Smeared and discrete representations of localized fracture.”Int. J. Fracture, Vol. 51, 45–59.
40.
Saouridis, C., and Mazars, J. (1992). “Prediction of the failure and size effect in concrete via bi-scale damage approach.”Engrg. Computations, Vol. 9, 329–344.
41.
Simo, J. C. (1989). “Strain softening and dissipation: a unification of approaches.”Cracking and damage; strain localization and size effect, J. Mazars and Z. P. Bazant, eds., Elsevier Applied Science, Amsterdam, Holland, 440–460.
42.
Simo, J. C., and Ju, J. W.(1987). “Strain and stress based continuum damage models: Part I: formulation. Part II: computational aspects.”Int. J. Solids Struct., 23(7), 821–869.
43.
Sluys, L. J., and de Borst, R.(1992). “Wave propagation and localization in a rate-dependant cracked medium model formulation and one dimensional examples.”Int. J. Solids Struct., 29(23), 2945–2958.
44.
Sluys, L. J., de Borst, R., and Muhlhaus, H. B.(1993). “Wave propagation, localization and dispersion in a gradient-dependant medium.”Int. J. Solids Struct., 30(9), 1153–1171.
45.
Valliappan, S., Murti, V., and Wohua, Z.(1990). “Finite element analysis of anisotropic damage mechanics problems.”Engrg. Fracture Mech., 35(6), 1061–1071.
46.
Vardoulakis, I. (1989). “Shear-banding and liquefaction in granular materials on the basis of a Cosserat continuum theory.”Ingenieur-Archiv, Germany, Vol. 59, 106–113.
47.
Wu, F. H., and Freund, L. B.(1984). “Deformation trapping due to thermoplastic instability in one dimensional wave propagation.”J. Mech. Phys. Solids, 32(2), 119–132.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 121Issue 4April 1995
Pages: 513 - 527

History

Published online: Apr 1, 1995
Published in print: Apr 1995

Permissions

Request permissions for this article.

Authors

Affiliations

Faouzi Ghrib
Grad. Student, Dept. of Civ. Engrg., Ecole Polytechnique, P.O. Box 6079, Station “Centre Ville” Montreal, Quebec, Canada H3C 3A7.
René Tinawi
Prof., Dept. of Civ. Engrg., Ecole Polytechnique, P.O. Box 6079, Station “Centre Ville” Montreal, Quebec, Canada H3C 3A7.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share