水泥净浆弹性模量的纳米压痕表征与多尺度计算

doi:10.16183/j.cnki.jsjtu.2021.089

摘要/Abstract

摘要：

基于微观力学测试和复合材料理论,计算水泥基材料的多尺度弹性参数,是水泥基材料基于性能的精细化设计理论基础之一.本研究对不同水灰比的硬化水泥净浆试样进行微观弹性模量的纳米压痕测试和孔隙结构压汞试验,基于多相材料均质化理论,建立考虑孔隙影响的水泥净浆弹性模量多尺度计算方法,并比较稀疏法、自洽法、Mori-Tanaka法、相互作用直推法和多层次均匀化法的适用性.计算结果表明,考虑孔隙作用的多相、多尺度计算方法与水泥净浆试件的宏观弹模测试结果吻合良好,除多层次均匀化法外,其他复合材料均匀化方法的计算结果相近.

关键词: 点阵纳米压痕, 均匀化方法, 弹性模量, 多尺度

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

中图分类号:

TU528
TB 332

陈小文, 韩宇栋, 丁小平, 侯东伟. 水泥净浆弹性模量的纳米压痕表征与多尺度计算[J]. 上海交通大学学报, 2022, 56(9): 1199-1207.

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.

图/表 12

表1

图1

图2

图3

图4

表2

图5

图6

表3

不同水灰比试样宏观弹性模量实测值

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

表3

图7

图8

表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