考虑温度效应的干纤维预制体压缩蠕变模型

doi:10.7527/S1000-6893.2023.28513

Abstract

Abstract:

The description of the creep/recovery behavior of the fiber fabric preform is crucial for modeling the production of composite materials. The creep/recovery experiment of the CF3031 dry fiber preform was carried out， the experimental results were calculated and analyzed， and the material constitutive model was established to analyze and predict the thick deformation behavior of the CF3031 dry fiber preform in the preforming process. To evaluate and analyze the creep component and overall fitting impact of several creep calculation models on the creep/recovery test data of the CF3031 dry fiber preform， the least square method principle and the superposition principle are first utilized. The findings demonstrate that Burgers model is superior to other models. Then， a single equation material model suited for various creep stresses and preform temperatures is presented to describe the time-dependent thick creep/recovery behavior of dry fiber fabric preforms on the foundation of the conventional Burgers model. The least squares approach and analysis of experimental data were used to derive the model coefficients. The results show that the experimental and model prediction curves are essentially consistent， demonstrating the efficiency of the procedure. Finally， the experimental outcomes of the new design are predicted using the constitutive model developed in this research. The findings demonstrate the usefulness of this approach by demonstrating that the experimental curve is essentially compatible with the model prediction curve.

Key words: dry fiber preform, creep, creep/recovery, constitutive model, mechanical testing, Burgers model

CLC Number:

V261.97

Yanpeng SI, Lishuai SUN, Enwei YAN, Yujun LI, Jianjun JIANG. Compression creep model of dry fiber preform considering temperature effect[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(22): 428513-428513.

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References 23

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参数	方向	数值或设置
织物结构		斜纹
面密度/（g·m^-2）		220±7
织物厚度/mm		0.25±0.02
尺寸变化率/%		1.3±0.3

织物密度/（tow·（100 mm）^-1）	经向	50±2
织物密度/（tow·（100 mm）^-1）	纬向	50±2

拉伸断裂强度/（N·25 mm）	经向	≥1 900
拉伸断裂强度/（N·25 mm）	纬向	≥1 900

序号	预成型温度/℃	蠕变应力/MPa
1	25	0.3
2	25	0.5
3	25	0.8
4	40	0.3
5	50	0.3
6	60	0.3

实验条件	a	b	c	R²	RMSE
25 ℃-0.3 MPa	0.385 0	0.200 2	0.015 51	0.721 3	0.004 782
25 ℃-0.5 MPa	0.465 2	0.152 9	0.015 51	0.905 1	0.001 315
25 ℃-0.8 MPa	0.536 0	0.118 7	0.015 51	0.911 2	0.001 299
40 ℃-0.3 MPa	0.354 0	0.330 3	0.015 51	0.852 7	0.002 293
50 ℃-0.3 MPa	0.291 1	0.492 4	0.015 51	0.901 5	0.003 692
60 ℃-0.3 MPa	0.131 4	0.661 8	0.015 51	0.891 3	0.003 683

实验条件	E₀/MPa	η₀/（MPa·s）	E₁/MPa	η₁/（MPa·s）	E₂/MPa	η₂/（MPa·s）	η₃/（MPa·s）	R²	RMSE
25 ℃-0.3 MPa	0.641 1	2.136 0	7.013 0	7.699	2.668 0	0.056 3	187 000 0	0.937 4	0.002 3
25 ℃-0.5 MPa	1.162 0	0.002 8	7.055 0	332.900	4.411 0	0.044 6	332.900	0.758 5	0.002 1
25 ℃-0.8 MPa	27.380 0	0.030 4	0.788 9	491.400	112.700 0	110.400 0	491.400	0.922 6	0.001 2
40 ℃-0.3 MPa	2.375 0	0.101 8	15.550 0	268.500	0.970 7	0.000 9	268.500	0.854 9	0.002 3
50 ℃-0.3 MPa	9.325 0	0.037 9	0.402 7	4.893	1 455.000 0	6.098 0	4.893	0.847 5	0.004 6
60 ℃-0.3 MPa	2.539 0	0.005 3	3.127 0	78.900	0.526 4	0.044 0	78.900	0.919 7	0.003 2

实验条件	E₀/MPa	η₀/（MPa·s）	E₁/MPa	η₁/（MPa·s）	R²	RMSE
25 ℃-0.3 MPa	1.158 0	0.040 50	0.923 4	107.40	0.971 7	0.001 5
25 ℃-0.5 MPa	1.098 0	0.054 04	1.155 0	402.30	0.981 9	0.000 6
25 ℃-0.8 MPa	2.424 0	0.036 90	2.480 0	431.30	0.950 2	0.001 0
40 ℃-0.3 MPa	0.948 0	0.039 63	0.679 3	97.65	0.972 3	0.000 9
50 ℃-0.3 MPa	8.678 0	0.040 80	0.403 7	63.30	0.872 0	0.004 2
60 ℃-0.3 MPa	0.437 7	0.095 20	2.896 0	69.01	0.977 5	0.001 7

Compression creep model of dry fiber preform considering temperature effect

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实验条件	a	b	R²	RMSE
25 ℃-0.3 MPa	0.587 0	0.011 5	0.766 8	0.004 4
25 ℃-0.5 MPa	0.617 9	0.005 3	0.775 3	0.002 0
25 ℃-0.8 MPa	0.654 4	0.005 0	0.662 7	0.002 5
40 ℃-0.3 MPa	0.732 1	0.006 7	0.854 3	0.002 3
50 ℃-0.3 MPa	0.783 2	0.011 9	0.729 0	0.006 1
60 ℃-0.3 MPa	0.793 2	0.012 9	0.891 9	0.003 7

实验条件	E₀/MPa	η₀/（MPa·s）	E₁/MPa	η₁/（MPa·s）	E₂/MPa	η₂/（MPa·s）	η₃/（MPa·s）	R²	RMSE
25 ℃-0.3 MPa	0.540 1	0.140 3	1.889 0	0.865 9	0.067 6	0.139 0	0.457 7	0.998 0	0.003 7
25 ℃-0.5 MPa	0.839 4	0.112 6	0.200 0	0.215 7	0.641 6	0.136 3	1.334 0	0.922 5	0.027 9
25 ℃-0.8 MPa	1.269 0	0.109 6	0.095 8	0.517 8	1.185 0	1.635 0	1.326 0	0.999 5	0.002 2
40 ℃-0.3 MPa	0.442 0	0.113 7	0.468 9	0.021 4	0.136 3	0.113 7	1.103 0	0.807 1	0.028 0
50 ℃-0.3 MPa	0.420 3	0.150 8	0.079 6	0.046 7	1.275 0	0.152 4	0.327 4	0.805 3	0.020 1
60 ℃-0.3 MPa	0.577 7	0.198 0	0.798 7	0.032 7	0.933 8	0.199 6	1.110 0	0.788 4	0.016 2

实验条件	E₀/MPa	η₀/（MPa·s）	E₁/MPa	η₁/（MPa·s）	R²	RMSE
25 ℃-0.3 MPa	0.580 8	0.100 3	4.112 0	797 700 0	0.997 9	0.003 7
25 ℃-0.5 MPa	0.896 0	0.079 4	8.227 0	26 690	0.999 3	0.002 3
25 ℃-0.8 MPa	1.333 0	0.080 9	14.510 0	10 110	0.999 8	0.002 3
40 ℃-0.3 MPa	2.918 0	0.037 1	0.454 6	1 172	0.973 4	0.010 4
50 ℃-0.3 MPa	2.987 0	0.042 4	0.440 0	1 082	0.973 5	0.007 4
60 ℃-0.3 MPa	3.074 0	0.048 0	0.432 9	1 004	0.971 2	0.006 0

实验条件	a	b	c	R²	RMSE
25 ℃-0.3 MPa	0.504 4	0.478 0	0.015 5	0.970 8	0.013 5
25 ℃-0.5 MPa	0.783 8	0.261 6	0.015 5	0.963 6	0.015 5
25 ℃-0.8 MPa	0.805 6	0.219 1	0.015 5	0.985 4	0.011 6
40 ℃-0.3 MPa	0.419 0	0.343 6	0.015 5	0.941 2	0.015 2
50 ℃-0.3 MPa	0.231 3	0.552 9	0.015 5	0.927 5	0.012 3
60 ℃-0.3 MPa	0.071 9	0.722 4	0.015 5	0.899 4	0.011 2

实验条件	a	b	R²	RMSE
25 ℃-0.3 MPa	0.587 6	0.012 5	0.995 3	0.005 6
25 ℃-0.5 MPa	0.618 1	0.006 5	0.998 0	0.003 8
25 ℃-0.8 MPa	0.654 7	0.005 1	0.998 8	0.003 5
40 ℃-0.3 MPa	0.762 6	0.007 0	0.948 6	0.014 5
50 ℃-0.3 MPa	0.784 2	0.010 9	0.935 9	0.011 6
60 ℃-0.3 MPa	0.794 3	0.014 3	0.903 6	0.011 0

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序号	T/℃	σ₀/MPa	σ₁/MPa	t₀/h
1	25	0.5	0.1	0.120
2	45	0.7	0.2	0.198
3	55	0.6	0	0.600