Realization of Mechanical Properties Prediction from Nano- to Macro- Scale Structure: An Achievement of C-S-H Hydrated Phases

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Abstract:

The performance prediction of C-S-H gel is critical to the theoretical research of cement-based materials. In the light of recent computational material technology, modeling from nano-scale to micro-scale to predict mechanical properties of structure has become research hotspots. This paper aims to find the inter-linkages between the monolithic "glouble" C-S-H at nano-scale and the low/high density C-S-H at the micro-scale by step to step method, and to find a reliable experimental verification method. Above all, the basic structure of tobermorite and the "glouble" C-S-H model at nano-scale are discussed. At this scale, a "glouble" C-S-H structure of about 5.5 nm3 was established based on the 11Å tobermorite crystal, and the elastic modulus ​​of the isotropic "glouble" is obtained by simulation. Besides, by considering the effect of porosity on the low/high density of the gel morphology, the C-S-H phase at micro-scale can be reversely characterized by the "glouble". By setting different porosities and using Self-Consistent and Mori-Tanaka schemes, elastic moduli of the low density and high density C-S-H ​​from that of "glouble" are predicted, which are used to compare with the experimental values of the outer and inner C-S-H. Moreover, the nanoindentation simulation is carried out, where the simulated P-h curve is in good agreement with the accurate experimental curve in nanoindentation experiment by the regional indentation technique(RET), thus the rationality of the "glouble" structure modeled is verified and the feasibility of Jennings model is proved. Finally, the studies from the obtained ideal "glouble" model to the C-S-H phase performance has realized the mechanical properties prediction of the C-S-H structure from nano-scale to micro-scale, which has great theoretical significance for the C-S-H structural strengthening research.

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332-341

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June 2019

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© 2019 Trans Tech Publications Ltd. All Rights Reserved

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[1] Graham-Brady L L, Arwade S R, Corr D J, et al. Probability and materials: from nano-to macro-scale: a summary[J]. Probabilistic Engineering Mechanics, 2006, 21(3): 193.

DOI: 10.1016/j.probengmech.2005.10.005

Google Scholar

[2] Klaus F, Stoyko F, Zhong Z. Polymer composites from nano-to macro-scale[J]. Polymer composites, 2005, 5: 51.

Google Scholar

[3] Oezaslan M, Heggen M, Strasser P. Size-dependent morphology of dealloyed bimetallic catalysts: linking the nano to the macro scale[J]. Journal of the American Chemical Society, 2011, 134(1): 514.

DOI: 10.1021/ja2088162

Google Scholar

[4] Greer J. Materials by design: using architecture and nanomaterial size effects to attain unexplored properties[C]. Frontiers of Engineering: Reports on Leading-Edge Engineering from the 2015 Symposium. National Academies Press, (2016).

Google Scholar

[5] Bao G, Xu X. Identification of the material properties in nonuniform nanostructures[J]. Inverse Problems, 2015, 31(12): 125003.

DOI: 10.1088/0266-5611/31/12/125003

Google Scholar

[6] Fu J, Siham K-B, Fabrice B, Marilyne C, Comparison of mechanical properties of C-S-H and Portlandite between nano-indentation experiments and a modelling approach using various simulation techniques[J]. Composite part B: Engineering, 2018,151:127.

DOI: 10.1016/j.compositesb.2018.05.043

Google Scholar

[7] Jennings H M. A model for the microstructure of calcium silicate hydrate in cement paste[J]. Cement and Concrete Research, 2000, 30(1):101.

DOI: 10.1016/s0008-8846(99)00209-4

Google Scholar

[8] Hou D, et al. Calcium silicate hydrate from dry to saturated state: Structure, dynamics and mechanical properties[J]. Acta Materialia, 2014, 67: 81.

DOI: 10.1016/j.actamat.2013.12.016

Google Scholar

[9] Constantinides, G., 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[J]. Cement and Concrete Research, 2003,34:67.

DOI: 10.1016/s0008-8846(03)00230-8

Google Scholar

[10] Richardson I G. Tobermorite/jennite- and tobermorite/calcium hydroxide-based models for the structure of C-S-H: applicability to hardened pastes of tricalcium silicate, beta-dicalcium silicate, Portland cement, and blends of Portland cement with blastfumace slag, metakaolin, or silica fume[J]. Cement and Concrete Research, 2004, 34(9):1733.

DOI: 10.1016/j.cemconres.2004.05.034

Google Scholar

[11] Merlino S, Bonaccorsi E, et al. The real structure of tobermorite 11Å normal and anomalous forms, OD character and polytypic modifications[J]. European Journal of Mineralogy, 2001, 13(3): 577-590.

DOI: 10.1127/0935-1221/2001/0013-0577

Google Scholar

[12] Fu J, Fabrice B, Siham K-B. First-principles calculations of typical anisotropic cubic and hexagonal structures and homogenized moduli estimation based on the Y- parameter. Application to CaO, MgO, CH and Calcite CaCO3[J]. Journal of Physics and Chemistry of Solids, 2017, 101:74.

DOI: 10.1016/j.jpcs.2016.10.010

Google Scholar

[13] Fabrice B, Fu J, Siham K-B. Multiscale modeling approach to determine the specific heat of cementitious materials[J]. European Journal of Environmental and Civil Engineering, 2018,1:1.

Google Scholar

[14] Fu J, Fabrice B, Siham K-B, Lin W. Nano-scale modeling and elastic properties of a typical CSH (I) structure based on Density Functional Theory and Molecular Dynamics Methods. 33èmes Rencontres de l'AUGC, mai 2015, Anglet (France).

Google Scholar

[15] Hamid S Α. The crystal structure of the 11Å natural tobermorite Ca2.25[Si3O7.5(OH)1.5]·1H2O[J]. Zeitschrift für Kristallographie-Crystalline Materials, 1981,154 (1-4): 189.

DOI: 10.1524/zkri.1981.154.3-4.189

Google Scholar

[16] Fu J, Fabrice B, Siham K-B. Assessment of the elastic properties of amorphous Calcium Silicates Hydrates (I) and (II) structures by Molecular Dynamics Simulation[J]. Molecular Simulation, 2018, 44(4):285.

DOI: 10.1080/08927022.2017.1373191

Google Scholar

[17] Allen A J, Thomas J J, Jennings H M. Composition and density of nanoscale calcium-silicate-hydrate in cement [J]. Nature materials, 2007, 6(4): 311.

DOI: 10.1038/nmat1871

Google Scholar

[18] d'Espinose de la Caillerie J-B, Lequeux N. Lecture on the structure of C-S-H, AFm and AFt phases. In Physique, Chimie et Mécanique des Matériaux Cimentaire, 2008, eds Ecole ATILH-CNRS, 3rd Ed.

Google Scholar

[19] J. Puibasset, R. Pellenq, Water adsorption on hydrophilic mesoporous and plane silica substrates: a grand canonical Monte Carlo simulation study[J]. The Journal of chemical physics, 118 (12),2003: 5613-5622.

DOI: 10.1063/1.1556075

Google Scholar

[20] Xin H, Lin W,  Fu J, Li W, Wang Z. Temperature effects on tensile and compressive mechanical behaviors of C-S-H structure via atomic simulation, Journal of nanometerials,2017, 8476258:1-6.

DOI: 10.1155/2017/8476258

Google Scholar

[21] Cygan R T, Liang J J, Kalinichev A G. Molecular models of hydroxide, oxyhydroxide, and clay phases and the development of a general force field [J]. Journal of Physical Chemistry B, 2004, 108(4): 1255.

DOI: 10.1021/jp0363287

Google Scholar

[22] Plimpton S, Thompson A, Crozier P. Molecular Dynamics Simulations from SNL's Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS).

Google Scholar

[23] Vandamme M. The Nanogranular Origin of Concrete Creep: A Nanoindentation investigation of microstructure and fundamental properties of Calcium-Silicate-Hydrates, Ph.D. Thesis, 2008, Massachusetts Institute of Technology, Cambridge, MA.

Google Scholar

[24] Vandamme M. The nanogranular origin of concrete creep: a nanoindentation investigation of microstructure and fundamental properties of calcium-silicate-hydrates[D]. Massachusetts Institute of Technology, (2008).

Google Scholar

[25] Fu J. Multiscale modeling and mechanical properties of typical anisotropic crystals structures at nanoscale. Doctoral dissertation, 2016, CNRS‐INSA de Rennes.

Google Scholar

[26] Constantinides G. Invariant mechanical properties of calcium-silicate-hydrates (CSH) in cement-based materials: instrumented nanoindentation and microporomechanical modeling, Doctoral dissertation, 2006, Massachusetts Institute of Technology.

Google Scholar

[27] Acker P. Micromechanical analysis of creep and shrinkage mechanisms[J]. Creep, Shrinkage and Durability Mechanics of Concrete and other quasi-brittle Materials, Cambridge, MA, 2001: 15-25.

DOI: 10.1061/9780784413111.026

Google Scholar