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

doi:10.16183/j.cnki.jsjtu.2021.089

Abstract

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

CLC Number:

TU528
TB 332

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 Jiao Tong University, 2022, 56(9): 1199-1207.

Figures/Tables 12

Tab.1

Fig.1

Fig.2

Fig.3

Fig.4

Tab.2

Fig.5

Fig.6

Tab.3

Test results of elastic modulus of cement paste samples at different water-cement ratios

样品编号	w/c	E/GPa	E^*/GPa	$E 2000 *$ /GPa
1	0.2	35.4	37.1±1.6	35.5±10.5
2	0.2	38.6	37.1±1.6	35.5±10.5
3	0.2	37.2	37.1±1.6	35.5±10.5
4	0.4	21.4	20.2±1.5	19.2±9.0
5	0.4	20.4	20.2±1.5	19.2±9.0
6	0.4	18.6	20.2±1.5	19.2±9.0
7	0.6	12.4	11.8±0.8	11.2±5.5
8	0.6	11.9	11.8±0.8	11.2±5.5
9	0.6	10.9	11.8±0.8	11.2±5.5

Tab.3

Fig.7

Fig.8

Tab.4

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成分	质量分数/%
SiO₂	22.75
CaO	50.56
Al₂O₃	10.38
SO₃	0.79
Fe₂O₃	10.37
MgO	1.02
Na₂O	0.73
K₂O	1.31
总计	97.91

w/c	相	E/GPa	压痕点数	体积分数
0.2	PP	-	-	-
0.2	LDCSH	-	-	-
0.2	HDCSH	29.66±7.82	314	0.79
0.2	CH	56.76±16.13	54	0.13
0.2	UHP	97.18±23.76	32	0.08
0.4	PP	10.90±6.06	117	0.29
0.4	LDCSH	21.24±4.14	119	0.30
0.4	HDCSH	31.67±4.26	96	0.24
0.4	CH	43.99±7.46	62	0.16
0.4	UHP	79.97±8.03	5	0.01
0.6	PP	11.79±5.38	127	0.32
0.6	LDCSH	21.93±4.61	175	0.44
0.6	HDCSH	-	-	-
0.6	CH	37.56±9.70	97	0.24
0.6	UHP	-	-	-

均匀化方法	E_e/GPa
均匀化方法	w/c=0.2	w/c=0.4	w/c=0.6
稀疏法	34.7	17.8	11.7
自洽法	35.4	18.2	11.9
IDD法	35.2	18.8	13.3
Mori-Tanaka法	35.2	19.9	14.0
多层次均匀化法	40.1	27.7	20.3