基于RSM优化玄武岩纤维增强磷石膏基复合材料力学性能

doi:10.19964/j.issn.1006-4990.2022-0622

Abstract

Abstract:

In order to explore the influence mechanism of basalt fiber diameter，length，dosage and their interaction on the mechanical properties of phosphogypsum-based composites（PGCs），and to realize its multi-objective optimization，a test was designed by Box-Behnken response surface methodology（RSM），meanwhile，polynomial regression models of 28 d compressive and flexural strength of composites were established.The results showed that the fiber dosage had the most significant influence on the mechanical properties of the composites，and the interaction between the diameter and length was the key factor affecting the compressive strength，while the interaction of the length and dosage was the key factor affecting their flexural strength，which was due to the different stress characteristics of the matrix in the process of compression and bending，as well as the various stress effects of the fibers in it under different parameters.The optimal conditions were obtained by optimizing the fiber parameters：fiber diameter of 13 μm，length of 9.439 mm，and fiber mass fraction of 1.023%.Under these conditions，the compressive and flexural strengths of the composites were 31.878 MPa and 6.347 MPa，respectively.The relative errors of the model validation experiments were 2.02% and 5.09%，respectively.The model showed a high accuracy and good fitting effect，indicating that RSM could be used to predict the strength and optimize the fiber parameters of fiber reinforced gypsum-based composites.

Key words: basalt fiber, phosphogypsum, response surface method, mechanical properties

CLC Number:

TQ177.3

CUI Gengyin, XIE Lang, LU Yuexian, KONG Dewen, WANG Lingling. Optimization of mechanical properties of basalt fiber reinforced phosphogypsum-based composites based on RSM[J]. Inorganic Chemicals Industry, 2023, 55(8): 116-123.

Figures/Tables 13

Table 1

Fig.1

Table 2

Table 3

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Fig.2

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Fig.5

Table 7

Table 8

References 33

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材料	w （SO₃）	w （CaO）	w （SiO₂）	w （P₂O₅）	w （Fe₂O₃）	w （Al₂O₃）	w （MgO）	w （K₂O）
原状磷石膏	55.280	39.522	2.678	0.887	0.368	0.299	—	0.065
半水磷石膏	53.601	41.840	2.709	0.864	0.382	0.292	—	0.065
水泥	3.962	61.713	19.897	0.169	4.456	5.155	1.725	1.196
硅灰	0.455	0.484	97.598	0.041	0.070	0.809	0.207	0.221
生石灰	0.292	96.775	0.520	0.003	0.115	0.154	2.051	0.011

水平	因素
水平	A（直径）/μm	B（长度）/mm	C［w（纤维）］/%
-1	13	6	0.5
0	18	9	1.0
1	23	12	1.5

实验号	因素			抗压强度/MPa		抗折强度/MPa
实验号	A/μm	B/mm	C/%	实际值	预测值	实际值	预测值
1	18	6	0.5	33.450	32.921	4.950	4.909
2	18	6	1.5	36.847	36.994	6.900	7.014
3	18	12	0.5	33.020	32.873	6.150	5.992
4	18	12	1.5	38.347	38.876	6.700	6.697
5	18	9	1.0	31.637	31.637	6.197	6.153
6	18	9	1.0	30.803	31.637	6.272	6.153
7	18	9	1.0	30.640	31.637	6.133	6.153
8	18	9	1.0	32.287	31.637	5.933	6.153
9	18	9	1.0	32.817	31.637	6.433	6.153
10	13	9	0.5	30.610	30.832	5.600	5.720
11	23	12	1.0	35.393	35.086	5.983	6.342
12	23	9	1.5	35.573	35.351	7.100	6.795
13	23	6	1.0	31.933	32.008	5.392	5.634
14	13	12	1.0	33.520	33.445	6.258	6.347
15	13	6	1.0	34.383	34.690	6.317	6.298
16	23	9	0.5	29.770	30.224	5.333	5.182
17	13	9	1.5	36.237	35.783	6.950	6.915

响应量来源	Y₁抗压强度		显著性	Y₂抗折强度		显著性
响应量来源	F值	P值	显著性	F值	P值	显著性
模型	14.78	0.000 9	显著	16.62	0.000 1	显著
A	0.786 4	0.404 6		4.24	0.066 4
B	2.44	0.162 1		5.74	0.037 5
C	73.76	<0.000 1	显著	77.21	<0.000 1	显著
AB	6.79	0.035 2		2.07	0.181 0
AC	0.011 2	0.918 5		0.851 1	0.378 0
BC	1.35	0.282 9		9.59	0.011 3
A²	0.06	0.813 6
B²	31.50	0.000 8	显著
C²	13.94	0.007 3
失拟项	0.50	0.702 2	不显著	1.85	0.286 3	不显著
模型	回归系数R²	调整回归系数R²_Adj	预测回归系数R²_Pre	变异系数/ %		信噪比
Y₁	0.950 0	0.885 7	0.725 0	2.49		13.596 5
Y₂	0.908 9	0.854 2	0.634 2	3.67		14.509 6

长度/mm	直径/μm	单丝纤维数量/根
长度/mm	直径/μm	w（纤维）=0.5%	w（纤维）= 1.0%	w（纤维）= 1.5%
	13	2 396	4 793	7 189
6	18	1 250	2 500	3 750
	23	766	1 531	2 297
	13	1 598	3 195	4 793
9	18	833	1 667	2 500
	23	510	1 021	1 531
	13	1 198	2 396	3 594
12	18	625	1 250	1 875
	23	383	766	1 148

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Optimization of mechanical properties of basalt fiber reinforced phosphogypsum-based composites based on RSM

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