C/C复合材料拉伸强度与针刺成型参数相关性研究

doi:10.15541/jim20170050

摘要/Abstract

摘要：

采用Design-expert软件设计预制体不同针刺成型参数组合试验, 研究预制体针刺成型参数对针刺碳/碳(C/C)复合材料拉伸强度的影响, 并构建了响应曲面数学模型, 实现对针刺C/C复合材料拉伸强度的优化与预测, 其模型显著性P=0.0206, 各试验实测值与预测值相对误差≤10.82%, 模型具有较高的拟合度。响应曲面回归分析表明: 针刺深度对拉伸强度有极显著影响, 针刺密度对拉伸强度有显著影响, 在本研究的针刺成型参数取值范围内, 拉伸强度的预测区间为42.31~91.87 MPa。通过模型优化出的针刺成型参数组合为: 针刺密度11 pin/cm²、针刺深度 11 mm、网胎面密度50 g/m², 相应拉伸强度预测值为88.62 MPa, 验证值为90.71 MPa, 相对误差2.36%。

关键词: 针刺预制体, 碳/碳复合材料, 拉伸强度, 响应曲面, 模型

Abstract:

The experiments for the fabrication of needling preform were designed according to response surface methodology (RSM) by the design-expert software to study effects of three variable needling processing parameters on the tensile strength of carbon/carbon (C/C) composites. Mathematical model between needling processing parameters and tensile strength of C/C composites was set up to optimize the needling processing parameters of preform and to predict the tensile strength of C/C composites. The mathematical model has good fitting degree with P-value of 0.0206 and the relative error between the predicted and the actual is no more than 10.82%. Based on the analysis of response surface of tensile strength, the needling depth has very signiﬁcant influence and the needling density has signiﬁcant influence on the tensile strength of C/C composites. The predicted scope of the tensile strength by the mathematical model is from 42.31 MPa to 91.87 MPa. The calculated optimal values are tensile strength 88.62 MPa, needling density 11 pin/cm², needling depth 11 mm, and density of non-woven 50 g/m², while the corresponding experimental result is 90.71 MPa with relative error 2.36%.

Key words: needling preform, carbon/carbon composites, tensile strength, response surface methodology, model

中图分类号:

TB332

郑金煌, 李贺军, 崔红, 王毅, 邓海亮, 殷忠义, 姚冬梅, 苏红. C/C复合材料拉伸强度与针刺成型参数相关性研究[J]. 无机材料学报, 2017, 32(11): 1147-1153.

ZHENG Jin-Huang, LI He-Jun, CUI Hong, WANG Yi, DENG Hai-Liang, YIN Zhong-Yi, YAO Dong-Mei, SU Hong. Relations between Needling Processing Parameters and Tensile Strength of C/C Composites[J]. Journal of Inorganic Materials, 2017, 32(11): 1147-1153.

图/表 8

参考文献 23

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Source	Sum of squares	df	Mean square	F Value	P-value prob > F
Model	1978.209000	9	219.800900	5.180009	0.0206
X₁	245.865300	1	245.865300	5.794263	0.0470
X₂	897.290700	1	897.290700	21.146290	0.0025
X₃	136.248800	1	136.248800	3.210950	0.1163
X₁X₂	11.172310	1	11.172310	0.263296	0.6237
X₁X₃	8.023056	1	8.023056	0.189078	0.6768
X₂X₃	54.169600	1	54.169600	1.276605	0.2958
X₁²	299.220600	1	299.220600	7.051679	0.0327
X₂²	280.274500	1	280.274500	6.605179	0.0370
X₃²	3.269901	1	3.269901	0.077061	0.7893
Residual	297.027800	7	42.432540	-	-
Lack of Fit	192.536200	3	64.178730	2.456799	0.2027
Pure Error	104.491600	4	26.122900	-	-
Cor Total	2275.236000	16	-	-	-
R-Squared	0.869500	-	-	-	-
Adj R-Squared	0.701600	-	-	-	-

Source	Sum of squares	df	Mean square	F Value	P-value prob > F
Model	1978.209000	9	219.800900	5.180009	0.0206
X₁	245.865300	1	245.865300	5.794263	0.0470
X₂	897.290700	1	897.290700	21.146290	0.0025
X₃	136.248800	1	136.248800	3.210950	0.1163
X₁X₂	11.172310	1	11.172310	0.263296	0.6237
X₁X₃	8.023056	1	8.023056	0.189078	0.6768
X₂X₃	54.169600	1	54.169600	1.276605	0.2958
X₁²	299.220600	1	299.220600	7.051679	0.0327
X₂²	280.274500	1	280.274500	6.605179	0.0370
X₃²	3.269901	1	3.269901	0.077061	0.7893
Residual	297.027800	7	42.432540	-	-
Lack of Fit	192.536200	3	64.178730	2.456799	0.2027
Pure Error	104.491600	4	26.122900	-	-
Cor Total	2275.236000	16	-	-	-
R-Squared	0.869500	-	-	-	-
Adj R-Squared	0.701600	-	-	-	-

Actual value	Predicted value	Residual	Relative error
89.80	84.684375	5.115625	5.70%
72.83	76.939375	-4.114375	5.65%
70.96	66.845625	4.114375	5.80%
47.30	52.415625	-5.115625	10.82%
74.13	80.331875	-6.201875	8.37%
69.44	66.411875	3.028125	4.36%
82.73	85.753125	-3.028125	3.66%
83.70	77.498125	6.201875	7.41%
89.00	87.913750	1.086250	1.22%
61.46	59.372500	2.087500	3.40%
86.72	88.807500	-2.087500	2.41%
73.90	74.986250	-1.086250	1.47%
90.00	86.810000	3.190000	3.54%
87.56	86.810000	0.750000	0.86%
82.66	86.810000	-4.150000	5.02%
80.73	86.810000	-6.080000	7.53%
93.10	86.810000	6.290000	6.76%

Actual value	Predicted value	Residual	Relative error
89.80	84.684375	5.115625	5.70%
72.83	76.939375	-4.114375	5.65%
70.96	66.845625	4.114375	5.80%
47.30	52.415625	-5.115625	10.82%
74.13	80.331875	-6.201875	8.37%
69.44	66.411875	3.028125	4.36%
82.73	85.753125	-3.028125	3.66%
83.70	77.498125	6.201875	7.41%
89.00	87.913750	1.086250	1.22%
61.46	59.372500	2.087500	3.40%
86.72	88.807500	-2.087500	2.41%
73.90	74.986250	-1.086250	1.47%
90.00	86.810000	3.190000	3.54%
87.56	86.810000	0.750000	0.86%
82.66	86.810000	-4.150000	5.02%
80.73	86.810000	-6.080000	7.53%
93.10	86.810000	6.290000	6.76%

	Needling density /(pin·cm^-2)	Needling depth/mm	Density of non-woven /(g·m^-2)	Tensile strength /MPa
Max	11.17	11.79	150.00	91.87
Min	16.00	16.00	50.00	42.31