橡胶骨料碱性砂浆孔结构与抗压性能非线性回归模型

施宇航; 马芹永; 徐子芳; 马冬冬; 黄坤

doi:10.13801/j.cnki.fhclxb.20220519.002

橡胶骨料碱性砂浆孔结构与抗压性能非线性回归模型

doi: 10.13801/j.cnki.fhclxb.20220519.002

1.
安徽理工大学　土木建筑学院，淮南 232001
2.
安徽理工大学　材料科学与工程学院，淮南 232001

基金项目: 安徽高校协同创新项目(GXXT-2019-005)

详细信息

通讯作者:
马芹永，博士，教授，博士生导师，研究方向为新型建筑材料　E-mail: qymaah@126.com

中图分类号: TB332
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出版历程
- 收稿日期: 2022-04-02
- 修回日期: 2022-04-24
- 录用日期: 2022-05-14
- 网络出版日期: 2022-05-20
- 刊出日期: 2023-04-15

Nonlinear regression models of compressive performance and pore structure of rubber aggregate alkaline mortar

1.
School of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, China
2.
School of Material Science and Engineering, Anhui University of Science and Technology, Huainan 232001, China

Funds: Collaborative Innovation Project of Universities in Anhui Province (GXXT-2019-005)

摘要

摘要: 废旧轮胎的弃置会导致诸多环境问题，而粉碎制得的橡胶粉可在建筑砂浆中替代细骨料。砂浆中橡胶骨料的掺量和粒径是橡胶混凝土强度的主要影响因素，利用碱激发矿渣材料可替代普通硅酸盐水泥，提升砂浆的环境友好性。研究多因素耦合作用对橡胶骨料砂浆抗压性能的影响，通过测试砂浆的抗压强度，对试验结果进行显著性分析及多元非线性回归，建立了多因素与砂浆抗压强度的多元非线性回归模型。对砂浆试样进行细观孔隙测量和SEM表征，探究橡胶骨料对砂浆抗压强度的劣化机制。结果表明：砂浆中橡胶骨料掺量的提升会造成砂浆抗压强度的下降，40vol%骨料替代率下碱激发类砂浆抗压强度均值相比对照组降低了49.93%，硅酸盐类降低了66.62%；在碱激发类砂浆的高碱性环境下，使用0.38 mm粒径橡胶骨料的砂浆抗压强度均值为对照组的69.65%，取得试验组中最优值；而在硅酸盐类砂浆的低碱性环境中，随着橡胶骨料粒径的减小，砂浆抗压强度均值由对照组的61.46%降至37.98%。
- 再生橡胶骨料 /
- 碱激发矿渣 /
- 抗压强度 /
- 正交分析 /
- 多元非线性回归
Abstract: The disposal of used tires causes many environmental problems, and the crushed rubber powder can replace fine aggregate in building mortar. The content and particle size of rubber aggregate in mortar are the main factors affecting the strength of rubber concrete. Alkali-activated slag can replace ordinary Portland cement and improve the environmental friendliness of mortar. The influence of multi-factor coupling on the compressive properties of rubber aggregate mortar was studied. By testing the compressive strength of mortar, significance analysis of the test results was completed and the multivariate nonlinear regression model was established. The microscopic pore measurement and SEM test of mortar samples were carried out to explore the degradation mechanism of rubber aggregate on the compressive strength of mortar. The results show that the increase of rubber aggregate content in mortar will cause the decrease of compressive strength of mortar. Compared with the control group, the average compressive strength of alkali activated mortar decreases by 49.93% and the silicate mortar decreases by 66.62% under 40vol% aggregate replacement rate. Under the high alkaline environment of alkali-activated mortar, the average compressive strength of mortar using 0.38 mm rubber aggregate is 69.65% of the control group, which is the optimal value in the test group. In the low alkaline environment of silicate mortar, with the decrease of rubber aggregate size, the average compressive strength of mortar decreased from 61.46% of the control group to 37.98%.
- recycled rubber aggregate /
- alkali-activated slag /
- compressive strength /
- orthogonal analysis /
- multiple nonlinear regression

HTML全文

图 1 废旧轮胎橡胶骨料

Figure 1. Waste tire rubber aggregate

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图 2 硬化混凝土气孔结构分析仪

Figure 2. Stomatal structure analyzer for hardened concrete

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图 3 激发剂pH值因素影响下的碱激发类砂浆抗压强度对比

Figure 3. Comparison of alkali-activate mortar compressive strength under the influence of pH value of activator

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图 4 橡胶骨料粒径因素影响下的碱激发类砂浆抗压强度对比

Figure 4. Comparison of alkali-activate mortar compressive strength under the influence of rubber aggregate particle size

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图 5 硅酸盐类砂浆抗压强度对比

Figure 5. Compressive strength comparison of silicate mortar

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图 6 硅酸盐类与碱激发类砂浆抗压强度均值对比

Figure 6. Comparison of mean compressive strength of silicate mortar and alkali-activated mortar

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图 7 碱激发类砂浆的微观形貌SEM图像 (10 μm~1 mm)

Figure 7. SEM images of alkali-activated mortar (10 μm-1 mm)

C-S-H—Hydrate calcium silicate

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图 8 碱激发类砂浆的孔隙形貌

Figure 8. Pore morphologies of alkali-activated mortars

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图 9 硅酸盐类砂浆的孔隙形貌

Figure 9. Pore morphologies of silicate mortar

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图 10 碱激发类砂浆因素相关系数矩阵

Figure 10. Correlation coefficient matrix of alkali-activated mortar's factors

T₁—Compressive strength of alkali-activated mortar

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图 11 碱激发类砂浆非线性回归模型

Figure 11. Nonlinear regression model of alkali-activated mortar

R²—Correlation coefficient

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图 12 硅酸盐类砂浆因素相关系数矩阵

Figure 12. Correlation coefficient matrix of silicate mortar's factors

T₂—Compressive strength of silicate mortar

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图 13 硅酸盐类砂浆非线性回归模型

Figure 13. Nonlinear regression model of silicate mortar

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表 1 高炉矿渣主要氧化物成分

Table 1. Main oxide components of blast furnace slag

Oxide component	CaO	SiO₂	Al₂O₃	MgO	SO₃	TiO₂	Fe₂O₃
Content/wt%	49.51	25.61	13.23	5.51	2.34	2.131	0.421

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表 2 碱激发类砂浆变量名称分类

Table 2. Designation and classification of alkali-activated mortar group's variables

Factor	Symbol of variable	Level	Designation
pH value of sodium hydroxide solution	J₁	1	pH≈14.3
		2	pH≈14.5
		3	pH≈14.6
Volume substitution rate of rubber aggregate	C₁	1	10vol%
		2	20vol%
		3	30vol%
		4	40vol%
Particle size of rubber aggregate	L₁	1	1.70 mm
		2	0.83 mm
		3	0.38 mm
		4	0.25 mm
		5	0.15 mm

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表 3 硅酸盐类砂浆变量名称分类

Table 3. Designation and classification of silicate mortar group's variables

Factor	Symbols of variable	Level	Designation
Volume substitution rate of rubber aggregate	C₂	1	10vol%
		2	20vol%
		3	30vol%
		4	40vol%
Particle size of rubber aggregate	L₂	1	1.70 mm
		2	0.83 mm
		3	0.38 mm
		4	0.25 mm
		5	0.15 mm

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表 4 碱激发类砂浆因素显著性分析

Table 4. Significance analysis of alkali-activated mortar's factors

Source	Sum of squares	Degree of freedom	Mean square	F-value	Significance
J₁	1464.388	2	732.194	758.883	***
L₁	171.936	4	42.984	44.551	***
C₁	2313.327	3	771.109	799.216	***
J₁ L₁	23.364	8	2.920	3.027	***
L₁C₁	13.789	12	1.149	1.191	//
J₁C₁	160.447	6	26.741	27.716	***
J₁L₁C₁	20.204	24	0.842	0.873	***
Error	115.780	120	0.965	—	—
Total	74288.445	180	—	—	—
Notes: ***—Significant factor; //—Not significant factor; F—Test results of homogeneity of variance.

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表 5 硅酸盐类砂浆因素显著性分析

Table 5. Significance analysis of silicate mortar’s factors

Source	Sum of squares	Degree of freedom	Mean square	F-value	Significance
L₂	391.441	4	97.860	61.322	***
C₂	1173.307	3	391.102	245.077	***
L₂C₂	72.638	12	6.053	3.793	***
Error	63.833	40	1.596	—	—
Total	16296.580	60	—	—	—

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