Modelling elasticity of a hydrating cement paste

Cement and Concrete Research

Volumn 37, Issue 10, 2007, Pages 1427-1439

  Sanahuja, Julien ^a,b   Dormieux, Luc ^a   Chanvillard, Gilles ^b  

^a UNIVERSITÉ PARIS EST   (France)

^b LAFARGE CENTRE DE RECHERCHE   (France)

Author keywords

Cement paste; Elastic moduli; Hydration; Micromechanics; Microstructure

Indexed keywords

CALCIUM COMPOUNDS; COMPOSITE MATERIALS; CONCRETE CONSTRUCTION; ELASTIC MODULI; ELASTICITY; HOMOGENIZATION METHOD; HYDRATION; MICROMECHANICS; MICROSTRUCTURE;

CALCIUM SILICATES; CEMENT PASTES;

CEMENTS;

EID: 34548666422     PISSN: 00088846     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cemconres.2007.07.003     Document Type: Article

References (37)

1. Torrenti J.M., and Benboudjema F. Mechanical threshold of cementitious materials at early age. Materials and Structures 38 (2005) 299-304
2. Haecker C.-J., Garboczi E.J., Bullard J.W., Bohn R.B., Sun Z., Shah S.P., and Voigt T. Modeling the linear elastic properties of portland cement paste. Cement and Concrete Research 35 (2005) 1948-1960
3. Bentz D.P. Three-dimensional computer simulation of portland cement hydration and microstructure development. Journal of the American Ceramic Society 80 (1997) 3-21
4. Powers T.C., and Brownyard T.L. Studies of the physical properties of hardened portland cement paste (nine parts). Journal of the American Concrete Institution 43 (Oct. 1946 to April 1947)
5. Bernard O., Ulm F.-J., and Lemarchand E. A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials. Cement and Concrete Research 33 (2003) 1293-1309
6. Constantinides G., and Ulm F.-J. The effect of two types of C-S-H on the elasticity of cement-based materials: results from nanoindentation and micromechanical modelling. Cement and Concrete Research 34 (2004) 67-80
7. Ulm F.-J., Constantinides G., and Heukamp F.H. Is concrete a poromechanics material?-a multiscale investigation of poroelastic properties. Materials and Structures 37 (2004) 43-58
8. Juenger M.C.G., Lamour V.H.R., Monteiro P.J.M., Gartner E.M., and Denbeaux G.P. Direct observation of cement hydration by soft X-ray transmission microscopy. Journal of Materials Science Letters 22 (2003) 1335-1337
9. S. Garrault-Gauffinet. Étude expérimentale et par simulation numérique de la cinétique de croissance et de la structure des hydrosilicates de calcium, produits d'hydratation des silicates tricalcique et dicalcique. PhD thesis, Université de Bourgogne, 1998.
10. Dormieux L., Kondo D., and Ulm F.-J. Microporomechanics (2006), Wiley
11. Zaoui A. Continuum micromechanics: survey. Journal of Engineering Mechanics 128 (2002) 808-816
12. Hill R. A self consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids 13 (1965) 213-222
13. Budiansky B. On the elastic moduli of some heterogeneous materials. Journal of the Mechanics and Physics of Solids 13 (1965) 223-227
14. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21 5 (1973) 1605-1609
15. Tennis P.D., and Jennings H.M. A model for two types of calcium silicate hydrate in the microstructure of portland cement pastes. Cement and Concrete Research 30 (2000) 855-863
16. Richardson I.G. The nature of the hydration products in hardened cement pastes. Cement and Concrete Composites 22 (2000) 97-113
17. Diamond S. The microstructure of cement paste and concrete - a visual primer. Cement and Concrete Composites 26 (2004) 919-933
18. G. Constantinides. Invariant mechanical properties of calcium silicate hydrates (C-S-H) in cement-based materials: Instrumented nanoindentation and microporomechanical modelling. PhD thesis, Massachusetts Institute of Technology, 2005.
19. 3S surface during its early hydration. Materials and structures 38 (2005) 435-442
20. Oberholster R.E. Pore structure, permeability and diffusivity of hardened cement paste and concrete in relation to durability: Status and prospects. In 8th International congress on chemistry of cement (1986) 323-335 Rio de Janeiro
21. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London. Series A 241 (1957) 376-396
22. Fritsch A., Dormieux L., and Hellmich C. Porous polycristals built up by uniformly and axisymmetrically oriented needles: Homogenization of elastic properties. C. R. Mecanique 334 (2006) 151-157
23. Garboczi E.J., Snyder K.A., Douglas J.F., and Thorpe M.F. Geometrical percolation threshold of overlapping ellipsoids. Physical Review E Online 52 1 (July 1995) 819-828
24. Jeulin D., Monnaie P., and Péronnet F. Gypsum morphological analysis and modeling. Cement and Concrete Composites 23 (2001) 299-311
25. Meille S., and Garboczi E.J. Linear elastic properties of 2D and 3D models of porous materials made from elongated objects. Modelling and Simulation in Materials Science and Engineering 9 (2001) 371-390
26. S. Meille. Etude du comportement mécanique du plâtre pris en relation avec sa microstructure. PhD thesis, INSA Lyon, 2001.
27. Zaoui A. Structural morphology and constitutive behavior of microheterogeneous materials. In: Suquet P. (Ed). Continuum micromechanics. CISM Courses and Lectures n vol. 377 (1997), Springer
28. Hervé É., and Zaoui A. n-layered inclusion-based micromechanical modelling. International Journal of Engineering Science 31 (1993) 1-10
29. Velez K., Maximilien S., Damidot D., Fantozzi G., and Sorrentino F. Determination by nanoindentation of elastic modulus and hardness of pure constituents of portland cement clinker. Cement and Concrete Research 31 4 (2001) 555-561
30. Acker P. Micromechanical analysis of creep and shrinkage mechanisms. In: Ulm F.-J., Baz ̌ant Z.P., and Wittmann F.H. (Eds). Creep, shrinkage and durability mechanics of concrete and other quasi-brittle materials, proceedings of the sixth international conference CONCREEP6 (2001), Elsevier 15-25
31. Taplin J.M. A method of following the hydration reaction in portland cement paste. Australian Journal of Applied Science 10 3 (1959) 329-345
32. J. Byfors. Plain concrete at early ages. PhD thesis, Swedish cement and concrete institute, Sweden, 1980.
33. Helmuth R.A., and Turk D.H. Elastic moduli of hardened portland cement and tricalcium silicate pastes: effect of porosity. In Symp. Struct. Portland Cem. Paste Concr. (1966) 135-144
34. Boumiz A., Sorrentino D., Vernet C., and Cohen Tenoudji F. Modelling the development of the elastic moduli as a function of the degree of hydration of cement pastes and mortars. Second RILEM workshop on hydration and setting, editors, Why does cement set? an interdisciplinary approach (june 1997), Dijon, France
35. Coussy O. Poromechanics (2003), Wiley
36. Constantinides G., and Ulm F.-J. The nanogranular nature of C-S-H. Journal of the Mechanics and Physics of Solids 55 (2007) 64-90
37. Suquet P. Effective behavior of non linear composites. In: Suquet P. (Ed). Continuum micromechanics. CISM Courses and Lectures n vol. 377 (1997), Springer