Relations between Needling Processing Parameters and Tensile Strength of C/C Composites

doi:10.15541/jim20170050

Abstract

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

CLC Number:

TB332

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.

Figures/Tables 8

References 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