TECHNICAL PAPERS
Oct 1, 1999

Chemoporoplasticity of Calcium Leaching in Concrete

Publication: Journal of Engineering Mechanics
Volume 125, Issue 10

Abstract

This paper presents a macroscopic material model for calcium leaching in concrete, for the quantitative assessment, in time and space, of the aging kinetics and load bearing capacity of concrete structures subjected to severe chemical degradation (such as radioactive waste disposal applications). Set within the framework of chemically reactive porous continua, the model accounts explicitly for the leaching of calcium of portlandite crystals and C-S-H, and its cross-effects with the elastic deformation (chemical damage) and irreversible skeleton deformations (chemical softening) treated within the theory of chemoplasticity. In the first part of this paper the governing equations are derived focusing on the chemomechanical couplings between calcium dissolution, increase in porosity, and deformation and (micro-) cracking of concrete. Without any a priori assumption concerning local equilibrium between the solid calcium concentration s and the interstitial calcium concentration c the well-known calcium leaching state function s = s(c) is then derived using combined thermodynamic equilibrium and dimensional arguments relating to the structural dimension of containment structures. In the second part, this paper addresses the experimental determination of chemical damage and chemical softening of the calcium leaching. For chemical damage, a simple mixture rule involving different skeleton constituents suffices to capture the main chemoelastic features of leaching; in turn, microhardness measurements allow access to the chemical softening state function capturing chemoplastic cross-effects. The intrinsic nature of these functions, and of the proposed procedure, is validated by means of finite-element analysis of experimental compression tests of a degraded specimen with nonhomogeneous chemical degradation states.

Get full access to this article

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

References

1.
Adenot, F. ( 1992). “Durabilité du béton: Caractérisation et modélisation des processus physiques et chimiques de dégradation du ciment,” PhD thesis, University of Orleans, Orleans, France (in French).
2.
Adenot, F., and Buil, M. (1992). “Modelling of the corrosion of the cement paste by deionized water.” Cement and Concrete Res., 22(2/3), 489–495.
3.
Adenot, F., and Richet, C. (1995). “Modelling of the chemical degradation of a cement paste.” Proc., Mechanisms of Chemical Degradation of Cement-Based Sys., MRS Fall Meeting, K. L. Scrivener and S. F. Young, eds., E & FN Spon, London.
4.
Beaudoin, J. J. (1983). “Comparison of mechanical properties of compacted calcium hydroxyde and portland cement paste systems.” Cement and Concrete Res., 13(3), 319–324.
5.
Beaudoin, J. J., and Feldman, R. F. (1975). “A study of mechanical properties of autoclaved calcium silicate systems.” Cement and Concrete Res., 5, 103–118.
6.
Beaudoin, J. J., Feldman, R. F., and Tumidajski, P. J. (1994). “Pore structure of hardened cement pastes and its influence on properties.” Advn. Cem. Bas. Mat., 1(5), 224–236.
7.
Bentz, D. P., and Garboczi, E. J. (1992). “Modelling the leaching of calcium hydroxide from cement paste: Effects on pore space percolation and diffusivity.” Mat. and Struct., 25, 523–533.
8.
Bournazel, J. P. ( 1992). “Contribution à l'étude du caractère thermomécanique de la maturation des bétons,” PhD thesis, Université Paris 6, Paris (in French).
9.
Buil, M., Revertegat, E., and Oliver, J. (1990). “Modelling cement attack by pure water.” Proc., Int. Symp. on Stabilisation/Solidification of Haz., Radioactive and Mixed Wastes.
10.
Carde, C. ( 1996). “Caractérisation et modélisation de l'altération des propriétés mécaniques due la lixivation des matériaux cimentaires,” PhD thesis, INSA de Toulouse, Toulouse, France (in French).
11.
Carde, C., and François, R. (1997). “Effect of the leaching of calcium hydroxide from cement paste on mechanical and physical properties.” Cement and Concrete Res., 27(4), 539–550.
12.
Carde, C., François, R., and Torrenti, J. M. (1996). “Leaching of both calcium hydroxyde and C-S-H from cement paste: Modeling the mechanical behaviour.” Cement and Concrete Res., 26(8), 1257–1268.
13.
Coussy, O. (1995). Mechanics of porous continua. Wiley, Chichester, U.K.
14.
Coussy, O., and Ulm, F.-J. (1996). “Creep and plasticity due to chemo-mechanical couplings.” Archive of Appl. Mech., 66, 523–535.
15.
Delagrave A., Gérard, B., and Marchand, J. (1997). “Modelling the calcium leaching mechanisms in hydrated cement pastes.” Proc., Mechanisms of Chemical Degradation of Cement-Based Sys., MRS Fall Meeting, K. L. Scrivener and S. F. Young, eds., E & FN Spon, London, 38–49.
16.
François, D., Pineau, A., and Zaoui, A. (1992). Elasticité et Plasticité. Hermès, ed. Paris.
17.
Garboczi, E. J., and Bentz, D. P. (1992). “Computer simulation of the diffusivity of cement-based materials.” J. Mat. Sci., 27, 2083–2092.
18.
Gérard, B. (1996). “Contribution des couplages mécanique-chimie-transfert dans la tenue à long terme des ouvrages de stockage de déchets radioactifs,” PhD thesis, ENS Cachan (France)/Laval University (Canada), Res. Rep. No. LMT-96/09, Cachan, France (in French).
19.
Gérard, B., Didry, O., Marchand, J., Breysse, D., and Hornain, H. (1997). “Modelling the long-term durability of concrete radioactive waste disposals.” Proc., Mechanisms of Chemical Degradation of Cement-Based Sys., MRS Fall Meeting, K. L. Scrivener and S. F. Young, eds., E & FN Spon, London, 331–340.
20.
Gérard, B., Pijaudier-Cabot, G., and Laborderie, Ch. (1998). “Coupled diffusion damage modeling and the implications on failure due to strain localisation.” Int. J. Solids and Struct., 35(31–32), 4107–4120.
21.
Glasser, F. P., Lachowski, E. E., and Macphee, D. E. (1987). “Compositional model for calcium silicate hydrate (C-S-H) gels: Their solubilities, and free energies of formation.” J. Am. Ceramic Soc., 70(7), 481–485.
22.
Hellmich, Ch., Ulm, F.-J., and Mang, H. A. (1999). “Multisurface chemoplasticity. I: Material modeling for shotcrete.”J. Engrg. Mech., ASCE, 125(6), 692–701.
23.
Igarashi, S., Bentur, A., and Mindess, S. (1996). “Microhardness testing of cementitious materials.” Advn. Cem. Bas. Mat., 4, 48–57.
24.
Kendall, J., Howard, A. J., and Birchall, J. D. (1983). “The relation between porosity, microstructure and strength, and the approach to advanced cement-based materials.” Philosophical Trans. Royal Soc., London, A310, 139–153.
25.
Pijaudier-Cabot, G., Gérard, B., and Molez, L. (1998). “Damage mechanics of concrete structures subjected to mechanical and environmental actions.” Proc., Euro-C '98, R. de Borst, N. Bicanic, H. Mang, and G. Meschke, eds., Balkema, Rotterdam, The Netherlands, 567–576.
26.
Stefan (1891). “Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere.” Annalen de Physik und Chemie, 42, 269–286 (in German).
27.
Suquet, P., ed. (1997). Continuum micromechanics. CISM Courses and Lectures No. 377, Springer, Vienna and New York.
28.
Torrenti, J. M., Mainguy, M., Adenot, F., and Tognazzi, C. (1998). “Modelling of leaching in concrete.” Proc., Euro-C '98, Computational Modelling of Concrete Struct., R. de Borst, N. Bicanic, H. Mang, and G. Meschke, eds., Balkema, Rotterdam, The Netherlands, 531–538.
29.
Ulm, F.-J., and Coussy, O. (1996). “Strength growth as chemo-plastic hardening in early age concrete.”J. Engrg. Mech., ASCE, 122(12), 1123–1132.
30.
Ulm, F.-J., Coussy, O., and Hellmich, Ch. (1998). “Chemoplasticity: A review of evidence.” Proc., Euro-C '98, Computational Modelling of Concrete Struct., R. de Borst, N. Bicanic, H. Mang, and G. Meschke, eds., Balkema, Rotterdam, The Netherlands, 421–439.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 10October 1999
Pages: 1200 - 1211

History

Received: Nov 17, 1998
Published online: Oct 1, 1999
Published in print: Oct 1999

Permissions

Request permissions for this article.

Authors

Affiliations

Assoc. Prof., Dept. of Civ. and Envir. Engrg., Massachusetts Inst. of Technol., Cambridge, MA 02139. E-mail: [email protected]
Dir. for Studies, Ecole Nationale des Ponts et Chaussées, 6-8, avenue Blaise Pascal, Cité Descartes-Champs sur Marne, 77455 Marne La Vallée Cedex 2, France; formerly, Commissariat à l'Energie Atomique Saclay, 91191 Gif sur Yvette Cedex, France. E-mail: [email protected]
Res. Engr., Commissariat à l'Energie Atomique Saclay, Laboratoire de Recherches sur les Bétons, Bat. 158, 91191 Gif sur Yvette Cedex, France. E-mail: [email protected]

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