Statistical homogenization of elastic properties of cement paste based on X-ray microtomography images

International Journal of Solids and Structures

Volumn 50, Issue 5, 2013, Pages 699-709

  Huang, J ^a   Krabbenhoft, K ^a   Lyamin, A V ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Cement paste; Elastic modulus; Micromechanics; Statistical homogenization; X ray microtomography

Indexed keywords

ANALYTICAL METHOD; CEMENT PASTE; EFFECTIVE ELASTIC PROPERTY; ELASTIC PROPERTIES; EXPERIMENTAL METHODS; FINITE ELEMENT METHOD FEM; HIGHEST RESOLUTIONS; HYDRATED CEMENT; MICROMETER SCALE; MORI-TANAKA; MULTISCALE HOMOGENIZATION; MULTISCALE METHOD; NUMERICAL HOMOGENIZATION; PHASE MATERIALS; STATISTICAL HOMOGENIZATION; X RAY MICROTOMOGRAPHY;

CALCIUM SILICATE; ELASTIC MODULI; ELASTICITY; FINITE ELEMENT METHOD; HOMOGENIZATION METHOD; MICROMECHANICS; X RAYS;

NUMERICAL METHODS;

EID: 84872923151     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.10.030     Document Type: Article

References (48)

1. C.H. Arns, M.A. Knackstedt, W.V. Pinczewski, and E.J. Garboczi Computation of linear elastic properties from microtomographic images: methodology and agreement between theory and experiment Geophysics 67 5 2002 1396 1405
2. B. Bary, M.B. Haha, E. Adam, and P. Montarnal Numerical and analytical effective elastic properties of degraded cement pastes Cement and Concrete Research 39 10 2009 902 912
3. D.P. Bentz Three-dimensional computer simulation of Portland cement hydration and microstructure development Journal of the American Ceramic Society 80 1 1997 3 21
4. D.P. Bentz, S. Mizell, S. Satterfield, J. Devaney, W. George, P. Ketcham, J. Graham, J. Porterfield, D. Quenard, F. Vallee, H. Sallee, E. Boller, and J. Baruchel The visible cement data set Journal of Research of the National Institute of Standards and Technology 107 2 2002 137 148
5. O. Bernard, F.-J. Ulm, and E. Lemarchand A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials Cement and Concrete Research 33 9 2003 1293 1309
6. A. Boumiz, C. Vernet, and F.C. Tenoudji Mechanical properties of cement pastes and mortars at early ages: evolution with time and degree of hydration Advanced Cement Based Materials 3 3-4 1996 94 106
7. J.J. Chen, L. Sorelli, M. Vandamme, F.J. Ulm, and G. Chanvillard A coupled nanoindentation/SEM-EDS study on low water/cement ratio Portland cement paste: evidence for C-S-H/Ca(OH)(2) nanocomposites Journal of the American Ceramic Society 93 5 2010 1484 1493
8. G. Constantinides, and F.-J. Ulm The effect of two types of C-S-H on the elasticity of cement-based materials: results from nanoindentation and micromechanical modeling Cement and Concrete Research 34 1 2004 67 80
9. R.J. Eijk van, and H.J.H. Brouwers Study of the relation between hydrated Portland cement composition and leaching resistance Cement and Concrete Research 28 6 1998 815 828
10. G.A. Fenton, and D.V. Griffiths N.J. Hoboken, Risk Assessment in Geotechnical Engineering 2008 John Wiley & Sons
11. E.J. Garboczi, J.W. Bullard, and D.P. Bentz Virtual testing of cement and concrete-USA 2004 Concrete International 26 12 2004 33 37
12. E.J. Garboczi, and A.R. Day An algorithm for computing the effective linear elastic properties of heterogeneous materials: three-dimensional results for composites with equal phase Poisson ratios Journal of the Mechanics and Physics of Solids 43 9 1995 1349 1362
13. C. Haecker, E.J. Garboczi, J.W. Bullard, R.B. Bohn, Z. Sun, S.P. Shah, and T. Voigt Modeling the linear elastic properties of Portland cement paste Cement and Concrete Research 35 10 2005 1948 1960
14. M. Hain, and P. Wriggers Numerical homogenization of hardened cement paste Computational Mechanics 42 2 2008 197 212
15. S. Hazanov Hill condition and overall properties of composites Archive of Applied Mechanics 68 6 1998 385 394
16. S. Hazanov, and M. Amieur On overall properties of elastic heterogeneous bodies smaller than the representative volume International Journal of Engineering Science 33 9 1995 1289 1301
17. S. Hazanov, and C. Huet Order relationships for boundary-conditions effect in heterogeneous bodies smaller than the representative volume Journal of the Mechanics and Physics of Solids 42 12 1994 1995 2011
18. R. Hill A self-consistent mechanics of composite materials Journal of the Mechanics and Physics of Solids 13 4 1965 213 222
19. L. Holzer, B. Muench, M. Wegmann, P. Gasser, and R.J. Flatt FIB-nanotomography of particulate systems-Part I: Particle shape and topology of interfaces Journal of the American Ceramic Society 89 8 2006 2577 2585
20. C. Huet Application of variational concepts to size effects in elastic heterogeneous bodies Journal of the Mechanics and Physics of Solids 38 6 1990 813 841
21. M. Iuga, and F. Raether FEM simulations of microstructure effects on thermoelastic properties of sintered ceramics Journal of the European Ceramic Society 27 2-3 2007 511 516
22. H.M. Jennings A model for the microstructure of calcium silicate hydrate in cement paste Cement and Concrete Research 30 1 2000 101 116
23. H.M. Jennings, J.W. Bullard, J.J. Thomas, J.E. Andrade, J.J. Chen, and G.W. Scherer Characterization and modeling of pores and surfaces in cement paste: correlations to processing and properties Journal of Advanced Concrete Technology 6 1 2008 5 29
24. H.M. Jennings, J.J. Thomas, J.S. Gevrenov, G. Constantinides, and F.-J. Ulm A multi-technique investigation of the nanoporosity of cement paste Cement and Concrete Research 37 3 2007 329 336
25. T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin Determination of the size of the representative volume element for random composites: statistical and numerical approach International Journal of Solids and Structures 40 13-14 2003 3647 3679
26. M.R. Karim, and K. Krabbenhoft Extraction of effective cement paste diffusivities from X-ray microtomography scans Transport in Porous Media 84 2 2010 371 388
27. P. Kenesei, A. Borbely, and H. Biermann Microstructure based three-dimensional finite element modeling of particulate reinforced metal-matrix composites Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing 387-389 2004 852 856
28. Z.F. Khisaeva, and M. Ostoja-Starzewski On the size of RVE in finite elasticity of random composites Journal of Elasticity 85 2 2006 153 173
29. K. Krabbenhoft, M. Hain, and P. Wriggers Computation of effective cement paste diffusivities from microtomographic images Composites with Micro-and Nano-Structures: Computational Modeling and Experiments 9 2008 281 297
30. M. Madadi, A.C. Jones, C.H. Arns, and M.A. Knackstedt 3D imaging and simulation of elastic properties of porous materials Computing in Science & Engineering 11 4 2009 65 73
31. T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metallurgica 21 5 1973 571 574
32. B. Munch, P. Gasser, L. Holzer, and R. Flatt FIB-nanotomography of particulate systems-Part II: Particle recognition and effect of boundary truncation Journal of the American Ceramic Society 89 8 2006 2586 2595
33. M. Ostoja-Starzewski Material spatial randomness: from statistical to representative volume element Probabilistic Engineering Mechanics 21 2 2006 112 132
34. Power, T.C.; 1962. Physical properties of cement paste. In: Proceedings of the Fourth International Symposium on Chemistry of Cement DC, National Bureau of Standards Monograph 43, vol. 2, pp. 577-613.
35. I.G. Richardson The nature of the hydration products in hardened cement pastes Cement and Concrete Composites 22 2 2000 97 113
36. J. Sanahuja, L. Dormieux, and G. Chanvillard Modelling elasticity of a hydrating cement paste Cement and Concrete Research 37 10 2007 1427 1439
37. V. Smilauer, and Z. Bittnar Microstructure-based micromechanical prediction of elastic properties in hydrating cement paste Cement and Concrete Research 36 9 2006 1708 1718
38. I.M. Smith, and D.V. Griffiths N.J. Hoboken, Programming the Finite Element Method 2004 Springer
39. L. Stefan, F. Benboudjema, J.M. Torrenti, and B. Bissonnette Prediction of elastic properties of cement pastes at early ages Computational Materials Science 47 3 2010 775 784
40. Z.H. Sun, G. Ye, and S.P. Shah Microstructure and early-age properties of Portland cement paste-effects of connectivity of solid phases ACI Materials Journal 102 2 2005 122 129
41. H.F.W. Taylor Cement Chemistry 1997 Thomas Telford London
42. P.D. Tennis, and H.M. Jennings A model for two types of calcium silicate hydrate in the microstructure of Portland cement pastes Cement and Concrete Research 30 6 2000 855 863
43. P. Trtik, B. Münch, P. Gasser, A. Leemann, R. Loser, R. Wepf, and P. Lura Focussed ion beam nanotomography reveals the 3D morphology of different solid phases in hardened cement pastes Journal of Microscopy 241 3 2011 234 242
44. P. Trtik, B. Münch, and P. Lura A critical examination of statistical nanoindentation on model materials and hardened cement pastes based on virtual experiments Cement and Concrete Composites 31 10 2009 705 714
45. F.J. Ulm, M. Vandamme, C. Bobko, and J.A. Ortega Statistical indentation techniques for hydrated nanocomposites: concrete, bone, and shale Journal of the American Ceramic Society 90 9 2007 2677 2692
46. P. Wriggers, and M. Hain Micro-meso-macro modelling of composite materials Computational Plasticity 7 2007 105 122
47. Q.S. Zheng, and D.X. Du An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution Journal of the Mechanics and Physics of Solids 49 11 2001 2765 2788
48. T.I. Zohdi, and P. Wriggers Aspects of the computational testing of the mechanical properties of microheterogeneous material samples International Journal for Numerical Methods in Engineering 50 11 2001 2573 2599