Journal of Shanghai Jiao Tong University

Journal of Shanghai Jiaotong University >

2022 , Vol. 56 >Issue 9: 1199 - 1207

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2021.089

Naval Architecture, Ocean and Civil Engineering

Multiscale Calculation of Elastic Modulus of Cement Paste Based on Grid Nanoindentation Technology

Expand
  • 1. School of Naval Architecture, Ocean and Civil Engineering;Shanghai Key Laboratory for Digital Maintenance of Buildings and Infrastructure, Shanghai Jiao Tong University, Shanghai 200240, China
    2. Central Research Institute of Building and Construction, MCC Group Co., Ltd., Beijing 100088, China

Received date: 2021-03-19

  Online published: 2022-10-09

Fold

Abstract

The calculation of multiscale elastic parameters of cementitious materials based on micromechanical tests and the composite material theory is one of the key theoretical bases for precise design of cementitious materials performance. In this paper, grid nanoindentation tests of microscopic elastic modulus and the mercury intrusion test were conducted on hardened cement paste specimens at different water-cement ratios, to establish a multiscale homogenization calculation method for the elastic modulus of cement paste considering the influence of pores. Besides, the applicability of the dilute method, the self-consistent method, the Mori-Tanaka method, the interaction direct derivation (IDD) method, and the multilevel homogenization method was compared. The results show that the multi-phase and multi-scale calculations considering the effect of pores is in good agreement with experimental values. Except the multi-level homogenization method, the calculation results of several commonly used composite homogenization methods are similar.

Key words： grid nanoindentation; homogenization method; elastic modulus; multiscale

Cite this article

CHEN Xiaowen, HAN Yudong, DING Xiaoping, HOU Dongwei . Multiscale Calculation of Elastic Modulus of Cement Paste Based on Grid Nanoindentation Technology[J]. Journal of Shanghai Jiaotong University, 2022 , 56(9) : 1199 -1207 . DOI: 10.16183/j.cnki.jsjtu.2021.089

References

[1] OLIVER W C, PHARR G M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments[J]. Journal of Materials Research, 1992, 7(6): 1564-1583.
[2] VELEZ K, MAXIMILIEN S, DAMIDOT D, et al. Determination by nanoindentation of elastic modulus and hardness of pure constituents of Portland cement clinker[J]. Cement and Concrete Research, 2001, 31(4): 555-561.
[3] CONSTANTINIDES G, ULM F J, VLIET K. On the use of nanoindentation for cementitious materials[J]. Materials and Structures, 2003, 36: 191-196.
[4] CONSTANTINIDES G, CHANDRAN K S R, ULM F J, et al. Grid indentation analysis of composite microstructure and mechanics: Principles and validation[J]. Materials Science and Engineering A, 2006, 430(1/2): 189-202.
[5] ULM F J, VANDAMME M, BOBKO C, et al. Statistical indentation techniques for hydrated nanocomposites: Concrete, bone, and shale[J]. Journal of the American Ceramic Society, 2007, 90(9): 2677-2692.
[6] RANDALL N X, VANDAMME M, ULM F J. Nanoindentation analysis as a two-dimensional tool for mapping the mechanical properties of complex surfaces[J]. Journal of Materials Research, 2009, 24(3): 679-690.
[7] NĚMEČEK J, ŠMILAUER V, KOPECKÝ L. Nanoindentation characteristics of alkali-activated aluminosilicate materials[J]. Cement and Concrete Composites, 2011, 33(2): 163-170.
[8] HU C L, LI Z J. A review on the mechanical properties of cement-based materials measured by nanoindentation[J]. Construction and Building Materials, 2015, 90: 80-90.
[9] HU C L. Microstructure and mechanical properties of fly ash blended cement pastes[J]. Construction and Building Materials, 2014, 73: 618-625.
[10] BERNARD O, ULM F J, LEMARCHAND E. A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials[J]. Cement and Concrete Research, 2003, 33(9): 1293-1309.
[11] CONSTANTINIDES G, ULM F J. 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, 2004, 34(1): 67-80.
[12] ZAOUI A. Continuum micromechanics: Survey[J]. Journal of Engineering Mechanics, 2002, 128(8): 808-816.
[13] SANAHUJA J, DORMIEUX L, CHANVILLARD G. Modelling elasticity of a hydrating cement paste[J]. Cement and Concrete Research, 2007, 37(10): 1427-1439.
[14] JIANG L, ZHANG Y M, HU C L, et al. Calculation of elastic modulus of early-age cement paste[J]. Advances in Cement Research, 2012, 24(4): 193-201.
[15] GAO X, WEI Y, HUANG W. Effect of individual phases on multiscale modeling mechanical properties of hardened cement paste[J]. Construction and Building Materials, 2017, 153: 25-35.
[16] LIANG S M, WEI Y, WU Z H. Multiscale modeling elastic properties of cement-based materials considering imperfect interface effect[J]. Construction and Building Materials, 2017, 154: 567-579.
[17] DAMIEN D, WANG Y, XI Y P. Prediction of elastic properties of cementitious materials based on multiphase and multiscale micromechanics theory[J]. Journal of Engineering Mechanics, 2019, 145(10): 04019074.
[18] PAPADOPOULOS V, IMPRAIMAKIS M. Multiscale modeling of carbon nanotube reinforced concrete[J]. Composite Structures, 2017, 182: 251-260.
[19] XU J, WANG B B, ZUO J Q. Modification effects of nanosilica on the interfacial transition zone in concrete: A multiscale approach[J]. Cement and Concrete Composites, 2017, 81: 1-10.
[20] GÖBEL L, BOS C, SCHWAIGER R, et al. Micromechanics-based investigation of the elastic properties of polymer-modified cementitious materials using nanoindentation and semi-analytical modeling[J]. Cement and Concrete Composites, 2018, 88: 100-114.
[21] ADESSINA A, BEN FRAJ A, BARTHÉLÉMY J F, et al. Experimental and micromechanical investigation on the mechanical and durability properties of re-cycled aggregates concrete[J]. Cement and Concrete Research, 2019, 126: 105900.
[22] STEFANIUK D, NIEWIADOMSKI P, MUSIAŁ M, et al. Elastic properties of self-compacting concrete modified with nanoparticles: Multiscale approach[J]. Archives of Civil and Mechanical Engineering, 2019, 19(4): 1150-1162.
[23] FANG G H, ZHANG M Z. Multiscale micromecha-nical analysis of alkali-activated fly ash-slag paste[J]. Cement and Concrete Research, 2020, 135: 106141.
[24] ZHANG Y, YAN Z G, JU J W, et al. A multi-level micromechanical model for elastic properties of hybrid fiber reinforced concrete[J]. Construction and Buil-ding Materials, 2017, 152: 804-817.
[25] HONORIO T, BROCHARD L, BARY B. Statistical variability of mechanical fields in thermo-poro-elasticity: Multiscale analytical estimations applied to cement-based materials at early-age[J]. Cement and Concrete Research, 2018, 110: 24-41.
[26] OLIVER W C, PHARR G M. Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology[J]. Journal of Materials Research, 2004, 19(1): 3-20.
[27] 沈观林, 胡更开. 复合材料力学[M]. 北京: 清华大学出版社, 2006.
[27] SHEN Guanlin, HU Gengkai. Mechanics of compo-site materials[M]. Beijing: Tsinghua University Press, 2006.
[28] MORI T, TANAKA K. Average stress in matrix and average elastic energy of materials with misfitting inclusions[J]. Acta Metallurgica, 1973, 21(5): 571-574.
[29] HILL R. A self-consistent mechanics of composite materials[J]. Journal of the Mechanics and Physics of Solids, 1965, 13(4): 213-222.
[30] ZHENG Q S, DU D X. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution[J]. Journal of the Mechanics and Physics of Solids, 2001, 49(11): 2765-2788.
[31] 朱合华, 陈庆. 多相材料有效性能预测的高精度方法[J]. 力学学报, 2017, 49(1): 41-47.
[31] ZHU Hehua, CHEN Qing. An approach for predicting the effective properties of multiphase composite with high accuracy[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 41-47.
[32] JENNINGS H M. Refinements to colloid model of C-S-H in cement: CM-II[J]. Cement and Concrete Research, 2008, 38(3): 275-289.
[33] JENNINGS H M, THOMAS J J, GEVRENOV J S, et al. A multi-technique investigation of the nanoporosity of cement paste[J]. Cement and Concrete Research, 2007, 37(3): 329-336.
Options
Outlines

/

〈 〉