Coupled Environmental-Mechanical Damage Model of RC Structures
Publication: Journal of Engineering Mechanics
Volume 125, Issue 8
Abstract
The evaluation of strength reduction of RC structures subjected to mechanical damage process and chemical attack is carried out, with regard to concrete deterioration and steel corrosion. A coupled environmental-mechanical damage model, developed as an extension of that previously published is presented. Two independent scalar mechanical damage parameters are introduced, each of them representing the degradation mechanisms occurring under tensile and compressive stress conditions. The stiffness recovery upon loading reversal, which is manifest when passing from tension into compression, is fully captured by the proposed model. The environmental damage is strongly related to the diffusion process, as well as to the evolution of the chemical reaction between pollutant and cementitious constituents. An enhanced local method is proposed to regularize the problem of nonobjectivity of the finite-element solution due to the strong strain softening behavior of concrete material. The splitting test of a concrete specimen and a static analysis of an RC frame subjected to mechanical loads and chemical attacks are carried out, and the damage evolution is analyzed in detail.
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References
1.
Bažant, Z. P. (1987). “Why continuum damage is non local: Justification by a quasi-periodic microcrack array.” Mech. Res. Comm., 14, 407–419.
2.
Bažant, Z. P., and Pijaudier-Cabot, G. (1989). “Measurement of characteristic length of non local continuum.”J. Engrg. Mech., ASCE, 115(4), 755–767.
3.
Berke, N. S. (1986). “Corrosion rates of steel in concrete.” ASTM Standardization News, 14(3), 57–61.
4.
Browne, R. (1982). “Design prediction of the life for reinforced concrete in a marine and other chloride environments.” Durability of Buildings Materials, 1(2), 113–125.
5.
Cady, P. D., and Weyers, R. E. (1992). “Predicting service life of concrete bridge decks subjected to reinforcement corrosion.” Proc., Corrosion Forms & Control for Infrastructure, San Diego, Calif.
6.
Carde, C., François, R., and Torrenti, J. M. (1996). “Leaching of both calcium hydroxide and C-S-H from cement paste: Modeling the mechanical behavior.” Cement and Concrete Res., 26(8), 1257–1268.
7.
Chatterji, S. (1978). “Mechanism of the CaCl2 attack on portland cement concrete.” Cement and Concrete Res., 8, 461–468.
8.
Collepardi, M., Coppola, L., and Monosi, S. (1992). “Degrado del calcestruzzo provocato dal cloruro di calcio.” Proc., Atti Congresso Omaggio Scientifico a Renato Turriziani, Roma, Vol. 1, 197–204 (in Italian).
9.
Creazza, G., Saetta, A., Scotta, R. Vitaliani, R., and , (1995). ( 1995). “Mathematical simulation of structural damage in historical buildings.” Architectural studies, materials & analysis, Brebbia and Leftheris, eds., Vol. 1, Computational Mechanics Inc., Southampton, Boston, 111–118.
10.
Durability design of concrete structures. (1996). RILEM Rep. 14, A. Sarja and E. Vesikari, eds., E & FN Spon, London.
11.
Farja, R., and Oliver, J. ( 1993). “A rate dependent plastic-damage constitutive model for large scale computation in concrete structures.” Monograph No. 17, Centro Internacional de Métodos Numericos en Ingeniero, Barcelona, Spain.
12.
Farja, R., and Oliver, J. (1998). “A strain-based viscous-plastic-damage model for massive concrete structures.” Int. J. Solids and Struct., 35(14), 1533–1558.
13.
Frangopol, D. M., Lin, K.-Y., and Estes, A. C. (1997). “Reliability of reinforced concrete girders under corrosion attack.”J. Struct. Engrg., ASCE, 123(3), 286–297.
14.
Gerard, B., Pijaudier-Cabot, G., and Laborderie, C. (1998). “Coupled diffusion-damage modeling and the implications on failure due to strain localization.” Int. J. Solids and Struct., 35(31/32), 4107–4120.
15.
Hansen, E. J. ( 1997). “Rate deterioration investigation of bridge decks based on diffusion/fracture mechanics numerical study.” Master thesis, University of Colorado, Colo.
16.
Hausmann, D. (1967). “Steel corrosion in concrete, how does it occur.” Material Protection, 6(11), 19–23.
17.
Horvat, R., and Persson. (1984). “The influence of specimen size on the fracture energy of concrete.” Rep. No. TVBM-5005, Lund Institute of Technology, Lund, Sweden.
18.
Kachanov, L. M. (1986). Introduction to continuum damage mechanics. Martinus Nijhoff Publishers, The Netherlands.
19.
Lubliner, J., Oliver, J., Oller, S., and , E. (1989). “A plastic-damage model for concrete.” Int. J. Solids and Struct., 25, 299–326.
20.
Majorana, C. E., Saetta, A., Scotta, R., and Vitaliani, R. (1995). “Mechanical and durability models for lifespan analysis of bridges.” Proc., IABSE Symp.: Extending the Lifespan of Struct., IABSE, Zürich, Switzerland, 1235–1258.
21.
Mazars, J., Berthaud, Y., and Ramtani, S. (1990). “The unilateral behavior of damaged concrete.” Engrg. Fracture Mech., 35(4/5), 629–635.
22.
Mazars, J., and Pijaudier-Cabot, G. (1989). “Continuum damage theory: Application to concrete.”J. Engrg. Mech., ASCE, 115(2), 345–365.
23.
Monosi, S., Alverà, I., and Collepardi, M. (1989). “Chemical attack of calcium chloride on the portland cement paste.” il Cemento, Italy, 2, 97–104.
24.
Oliver, J. (1989). “A consistent characteristic length for smeared cracked models.” Int. J. Numer. Methods in Engrg., 28, 471–474.
25.
Oliver, J., Cervera, M., Oller, S., and Lubliner, J. ( 1990). “Isotropic damage models and smeared crack analysis of concrete.” Computer aided analysis and design of concrete structures, N. Bicanic and H. Mang, eds., Vol. 2, 945–957.
26.
, E. (1994). “Reliability analysis of concrete structures. Numerical and experimental studies.” Proc., Evoluzione nella sperimentazione per le costruzioni, Seminar CISM, 125–146.
27.
, E., Hanganu, A., Barbat, A., Oller, S., Vitaliani, R., and Saetta, A. ( 1995). “Structural analysis and durability assessment of historical construction using a finite element damage model.” Publ. CIMNE, Barcelona, Spain, 73 (October).
28.
Ortiz, M. (1985). “A constitutive theory for the inelastic behavior of concrete.” Mech. of Mat. 4, 67–93.
29.
Park, R., and Paulay, T. (1975). Reinforced concrete structures. Wiley, New York.
30.
Pijaudier-Cabot, G., and Bažant, Z. P. (1987). “Nonlocal damage theory.”J. Engrg. Mech., ASCE, 113, 1512–1533.
31.
Pijaudier-Cabot, G., and Benallal, A. (1993). “Strain localization and bifurcation in nonlocal continuum.” Int. J. Solids and Struct., 30, 1761–1775.
32.
Pijaudier-Cabot, G., Gerard, B., Burlion, N., and Molez, L. ( 1998a). “Localization of damage in quasi-brittle materials and influence of chemically activated damage,” Chapter 27, Materials instabilities in solids, R. De Borst and E. Van der Giessen, eds., Wiley, New York.
33.
Pijaudier-Cabot, G., Gerard, B., and Molez, L. ( 1998b). “Damage mechanics of concrete structures subjected to mechanical and environmental actions.” Euro-C, Computational modeling of concrete structures, R. De Borst, N. Bicanic, H. Mang, and G. Meschke, eds., Balkema, Rotterdam, The Netherlands, 567, 576.
34.
Saetta, A., Scotta, R., and Vitaliani, R. (1993). “The numerical analysis of chloride penetration in concrete.” ACI Mat. J., 90(5), 441–451.
35.
Saetta, A., Scotta, R., and Vitaliani, R. (1998). “Mechanical behavior of concrete under physical-chemical attacks.”J. Engrg. Mech., ASCE, 124(10), 1100–1109.
36.
Schreyer, H., and Chen, Z. (1986). “One dimensional softening with localization.” J. Appl. Mech., 53, 791–797.
37.
Simo, J. C., and Ju, J. (1987a). “Strain and stress based continuum damage models—Part I: Formulation.” Int. J. Solids and Struct., 23(7), 821–840.
38.
Simo, J. C., and Ju, J. (1987b). “Strain and stress based continuum damage models—Part II: Computational aspects.” Int. J. Solids and Struct., 23(7), 841–869.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 8 • August 1999
Pages: 930 - 940
History
Received: Mar 31, 1998
Published online: Aug 1, 1999
Published in print: Aug 1999
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