TECHNICAL PAPERS
Jun 1, 1998

Constitutive Modeling of Unsaturated Drying Deformable Materials

Publication: Journal of Engineering Mechanics
Volume 124, Issue 6

Abstract

Thermodynamics of open continua, when applied directly at the macroscopic engineering scale, allows one to extend unambiguously the principal concepts of continuum thermomechanics of solids to polyphasic porous materials, whose fluid constituents are subject to liquid-vapor phase change. This approach provides a consistent and relevant framework for the formulation of the constitutive equations of partially saturated deformable porous materials such as concrete. After recalling the general theory, the modeling is specified for porous materials that are partially saturated by a liquid water phase changing into its vapor phase, the latter forming with the dry air an ideal mixture. The nonlinear poroelasticity, as reference modeling, is then detailed. The theory is applied to the modeling of the drying shrinkage of concrete samples with isothermal sorption curves as only experimental data. The predicted shrinkage is found to be in close agreement with the observed one for a range of humidity greater than 50%. The drying shrinkage of a wall is finally examined. The analysis includes the study of the temperature variations due to latent heat effects. These variations are shown to be negligible.

Get full access to this article

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

References

1.
Acker, P. (1988). “Comportement mécanique du béton: apports de l'approche physico-chimique.”Rapport de Recherche LPC No. 152 (in French).
2.
Baggio, P., Majorana, C. E., and Schrefler, B. (1993). “Thermohygrometric and mechanical analysis of concrete by a finite element method.”Numerical methods in thermal problems, R. W. Lewis, ed., Vol. III, Pineridge Press, Swansea, Wales, U.K., 847–858.
3.
Baroghel-Bouny, V. (1994). “Caracterisation des pâtes de ciments et des bétons: Méthodes, analyse, interprétations.” Laboratoire Central des Ponts et Chaussées, Sect. des Pub., Paris (in French).
4.
Bazant, Z., ed. (1986). “Creep and shrinkage of concrete: Mathematical modeling.”4th RILEM Int. Symp., Reunion Internationale des Laboratoires d'Essais et de Recherche sur les Materiaux et les Constructions.
5.
Bazant, Z., and Wittmann, F., eds. (1982). Mathematical modeling of creep and shrinkage of concrete. John Wiley & Sons, Inc., New York, N.Y.
6.
Bazant, Z. P.(1972). “Thermodynamics of hindered adsorption and its implications for hardened cement paste and concrete.”Cement and Concrete Res., 2(1), 1–16.
7.
Bazant, Z. P., and Kim, J. K.(1992). “Consequences of diffusion theory for drying shrinkage of concrete.”Mat. and Struct., 24, 323–326.
8.
Bear, J., and Bachmat, Y. (1990). Introduction to modeling in transport phenomena in porous media, Kluwer, Amsterdam, The Netherlands.
9.
Bentz, D. P., Quenard, D., Baroghel-Bouny, V., Garboczi, E. J., and Jennings, H. M.(1995). “Modelling drying shrinkage of cement paste and mortar. Part I: Structural models from nanometers.”Mat. and Struct., 28, 450–458.
10.
Biot, M. A.(1941). “General theory of three dimensional consolidation.”J. Appl. Phys., 12, 155–164.
11.
Biot, M. A.(1962). “Mechanics of deformation and acoustic propagation in porous media.”J. Appl. Phys., 12, 155–164.
12.
Biot, M. A.(1972). “Theory of finite deformation of porous solids.”Indiana Univ. Math. J., 33, 1482–1498.
13.
Biot, M. A.(1977). “Variational Lagrangian-thermodynamics of non-isothermal finite strain: Mechanics of porous solid and thermomolecular diffusion.”Int. J. Solids and Struct., 12, 155–164.
14.
Bourbié, T., Coussy, O., and Zinzner, B. (1987). Acoustics of porous media. Gulf Pub. Co./Ed. Technip.
15.
Camerliet, J. (1996). “Moisture transfer and durability of open reactive porous media.”5th Symp. on Build. Phys. in Nordic Countries.
16.
Coussy, O.(1989a). “A general theory of thermoporoelastoplasticity for saturated porous materials.”Transport in Pourous Media, 4, 281–293.
17.
Coussy, O.(1989b). “Thermodynamics of saturated porous solids in finite deformation.”Eur. J. Mech., A/Solids, 8, 1–14.
18.
Coussy, O. (1995a). “Constitutive modelling of civil engineering materials subject to thermo-hydro-mechanical couplings.”Int. Workshop on Mass-Energy and Deterioration of Build. Components, CSTB, Paris.
19.
Coussy, O. (1995b). Mechanics of porous continua. John Wiley & Sons, Inc., New York, N.Y.
20.
Coussy, O., and Ulm, F. (1995). “Creep and plasticity due to chemo-mechanical couplings.”4th Int. Conf. on Computational Plasticity: Fundamentals and Applications.
21.
de Boer, R., and Ehlers, W.(1988). “The development of the concept of effective stress.”Acta Mechanica, 74, 1–8.
22.
Eymard, R., and Gallouët, T. (1993). “Convergence d'un schéma de type éléments finis/volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique.”M2AN, 27(7), 843–861 (in French).
23.
Fauchet, B., Coussy, O., Carrère, A., and Tardieu, B.(1991). “Poroplastic analysis of concrete dams and their foundations.”Dam Engrg., 2, 165–192.
24.
Feldman, R. F. (1968). “Sorption and length-change scanning isotherms of methanol and water hydrated portland cement.”Proc., 5th Int. Congr. on Chem. of Cement, Session III.1: Struct. and Phys. Properties of Cement Paste, Vol. 3, Cement Assoc. of Japan, Tokyo, 53–56.
25.
Feldman, R. F., and Sereda, P. J.(1968). “A model for hydrated portland cement paste as deduced from sorption-length change and mechanical properties.”Mat. and Struct., 1(6), 509–520.
26.
Halphen, B., and Salençon, J. (1987). Elasto-plasticité. Presses de l'Ecole Nationale des Ponts et Chaussées, Paris.
27.
Hansen, W.(1987). “Drying shrinkage mechanisms in portland cement paste.”J. Am. Ceramics Soc., 70(5), 323–328.
28.
Jennings, H., Kropp, J., and Scrivener, K., eds. (1996). Proc., NATO/RILEM Workshop on Modeling of Microstructure and Its Potential for Studying Transport Properties and Durability, St. Rémy-les-Chevreuses.
29.
Lassabatère, T. (1994). “Couplages hydromécaniques en milieu poreux non saturé avec changement de phase: Application au retrait de dessication,” PhD thesis, Ecole Nationale des Ponts et Chaussées, Paris.
30.
Lemaitre, J., and Chaboche, J. L. (1990). Mechanics of solids materials. Cambridge Univ. Press, London.
31.
Parker, J. C., Lenhard, R. J., and Kuppusamy, T.(1987). “A parametric model for constitutive properties governing multiphase flow in porous media.”Water Resour. Res., 23(4), 618–624.
32.
Powers, T. C. (1965). “Mechanisms of shrinkage and reversible creep of hardened cement paste.”Proc., Int. Symp. Struct. of Concrete and Its Behaviour under Load, Cement and Concrete Assoc., London, 319–344.
33.
Powers, T. C.(1968). “The thermodynamics of volume change and creep.”Mat. and Struct., 1(6), 487–507.
34.
Shrefler, B. A., Simoni, L., Li, X., and Zienkiewicz, O. C. (1990). “Mechanics of partially saturated porous media.”Numerical methods and constitutive modelling in geomechanics, CISM Courses and Lect. Ser. Vol. 311, C. S. Desai and Gioda, eds., Springer-Verlag, New York, N.Y., 169–209.
35.
Sih, G. C., Michopoulos, J. G., and Chou, S. C. (1986). Hygrothermoelasticity, Martinus Nijhoff Publishers.
36.
Truesdell, C. (1984). Rational thermodynamics, 2nd Ed., Springer-Verlag, New York, N.Y.
37.
Wittmann, F. H.(1973). “Interaction of hardened cement paste and water.”J. Am. Ceramics Soc., 56(8), 409–415.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 6June 1998
Pages: 658 - 667

History

Published online: Jun 1, 1998
Published in print: Jun 1998

Permissions

Request permissions for this article.

Authors

Affiliations

O. Coussy
Res. Team Mgr., Docteur ès Sci., Sr. Lect., Ecole Polytechnique, Laboratoire Central des Ponts et Chaussées, Service Modélisation pour L'Ingénieur, 58 bd. Lefebvre, 75732 Paris Cedex 15, France.
R. Eymard
Res. Team Mgr., Laboratoire Central des Ponts et Chaussées, Service Modélisation pour l'Ingénieur, 58 bd. Lefebvre, 75732 Paris Cedex 15, France.
T. Lassabatère
Res. Ing., Docteur-Ingénieur, Commissariat à l'Énergie Atomique, Service d'Entreposage et de Stockage des Déchets, CEN Saclay bât. 158, 91191 Gif-sur-Yvette, France.

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