近零应力等效温度场驱动的CFRP复杂构件固化变形控制方法

doi:10.7527/S1000-6893.2023.29703

Abstract

Abstract:

The cure-induced distortion of Carbon Fiber Resin Matrix Composite （CFRP） components directly affects the mechanical properties and service life of the components after assembly. However， the cure-induced distortion control methods such as tool compensation and structure optimization have the problems of long process cycle time and high cost of iteration. Selective heating methods， such as microwave heating and self-resistive heating， have the potential to realize precise control of the curing temperature field， and generate thermal stresses to hedge the original cure-induced distortion by constructing an uneven temperature field. In this paper， the typical inverse problem of how to construct an inhomogeneous temperature field， a quasi “zero-stress” equivalent temperature field is derived and defined， which in principle can hedge the residual stress field of the component before demolding to achieve a quasi “zero-stress” curing， and thus inhibit the curing deformation after demolding. An adaptive compression partitioning algorithm is designed to partition the theoretical equivalent temperature field with respect to the actual curing temperature process constraints. The method is preliminarily validated on typical hyperbolic and rotary parts， and the results show that compared with isothermal curing， the curing deformation and residual stress are reduced by nearly 50%； compared with the temperature field optimization method that only considers the curing deformation， the curing deformation and residual stress are also reduced by nearly 15%.

Key words: carbon fiber resin matrix composite, cure-induced distortion, regional temperature field, image processing, distortion control

CLC Number:

V258⁺.3

Guanguan CAO, Ke XU. Optimized distortion control method of CFRP curing region temperature field driven by near⁃zero stress equivalent temperature field[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(16): 429703-429703.

Figures/Tables 14

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References 29

1	ZHANG C， ZHANG G L， XU J， et al. Review of curing deformation control methods for carbon fiber reinforced resin composites［J］. Polymer Composites， 2022， 43（6）： 3350-3370.
2	WANG B， FAN S J， CHEN J P， et al. A review on prediction and control of curing process-induced deformation of continuous fiber-reinforced thermosetting composite structures［J］. Composites Part A： Applied Science and Manufacturing， 2023， 165： 107321.
3	PENG X B， XU J， CHENG Y， et al. The effect of curing deformation on the vibration behavior of laminated composite beams［J］. Composite Structures， 2021， 277： 114642.
4	JOOSTEN M W， AGIUS S， HILDITCH T， et al. Effect of residual stress on the matrix fatigue cracking of rapidly cured epoxy/anhydride composites［J］. Composites Part A： Applied Science and Manufacturing， 2017， 101： 521-528.
5	WANG H. Effect of spring-in deviation on fatigue life of composite elevator assembly［J］. Applied Composite Materials， 2018， 25（6）： 1357-1367.
6	KAPPEL E. Compensating process-induced distortions of composite structures： A short communication［J］. Composite Structures， 2018， 192： 67-71.
7	GALIŃSKA A. Compensation of process-induced deformations of double-curved carbon-epoxy composite elements［J］. Polymer Composites， 2019， 40（9）： 3666-3677.
8	LIU Z D， ZHENG X T， FAN W J， et al. An alternative method to reduce process-induced deformation of CFRP by introducing prestresses［J］. Chinese Journal of Aeronautics， 2022， 35（8）： 314-323.
9	WHITE S R， HAHN H T. Cure cycle optimization for the reduction of processing-induced residual stresses in composite materials［J］. Journal of Composite Materials， 1993， 27（14）： 1352-1378.
10	JUNG W K， CHU W S， AHN S H， et al. Measurement and compensation of spring-back of a hybrid composite beam［J］. Journal of Composite Materials， 2007， 41（7）： 851-864.
11	ZHANG W C， XU Y J， HUI X Y， et al. A multi-dwell temperature profile design for the cure of thick CFRP composite laminates［J］. The International Journal of Advanced Manufacturing Technology， 2021， 117（3）： 1133-1146.
12	KRAVCHENKO O G， KRAVCHENKO S G， PIPES R B. Cure history dependence of residual deformation in a thermosetting laminate［J］. Composites Part A： Applied Science and Manufacturing， 2017， 99： 186-197.
13	KIM H S， YOO S H， CHANG S H. In situ monitoring of the strain evolution and curing reaction of composite laminates to reduce the thermal residual stress using FBG sensor and dielectrometry［J］. Composites Part B： Engineering， 2013， 44（1）： 446-452.
14	NAWAB Y， BOYARD N， JAQUEMIN F. Effect of pressure and reinforcement type on the volume chemical shrinkage in thermoset resin and composite［J］. Journal of Composite Materials， 2014， 48（26）： 3191-3199.
15	HUI X Y， XU Y J， ZHANG W C， et al. Multiscale collaborative optimization for the thermochemical and thermomechanical cure process during composite manufacture［J］. Composites Science and Technology， 2022， 224： 109455.
16	NAWAB Y， TARDIF X， BOYARD N， et al. Determination and modelling of the cure shrinkage of epoxy vinylester resin and associated composites by considering thermal gradients［J］. Composites Science and Technology， 2012， 73： 81-87.
17	BELLINI C， SORRENTINO L， POLINI W， et al. Spring-in analysis of CFRP thin laminates： Numerical and experimental results［J］. Composite Structures， 2017， 173： 17-24.
18	STEFANIAK D， KAPPEL E， SPRÖWITZ T， et al. Experimental identification of process parameters inducing warpage of autoclave-processed CFRP parts［J］. Composites Part A： Applied Science and Manufacturing， 2012， 43（7）： 1081-1091.
19	QIAO W， YAO W X. Modelling of process-induced deformation for composite parts considering tool-part interaction［J］. Materials， 2020， 13（20）： E4503.
20	XUE J， WANG W X， TAKAO Y， et al. Reduction of thermal residual stress in carbon fiber aluminum laminates using a thermal expansion clamp［J］. Composites Part A： Applied Science and Manufacturing， 2011， 42（8）： 986-992.
21	GAO H J， ZHANG Y D， WU Q， et al. Fatigue life of 7075-T651 aluminium alloy treated with vibratory stress relief［J］. International Journal of Fatigue， 2018， 108： 62-67.
22	MARTÍN V， VÁZQUEZ J， NAVARRO C， et al. Effect of shot peening residual stresses and surface roughness on fretting fatigue strength of Al₇₀₇₅-T651［J］. Tribology International， 2020， 142： 106004.
23	WANG X Q， CHOU K. The effects of stress relieving heat treatment on the microstructure and residual stress of Inconel 718 fabricated by laser metal powder bed fusion additive manufacturing process［J］. Journal of Manufacturing Processes， 2019， 48： 154-163.
24	LIU K， YE J R， ZHANG B M， et al. Experimental and finite element studies on hot sizing process for L-shaped composite beams［J］. Composites Part A： Applied Science and Manufacturing， 2016， 87： 161-169.
25	MATSUZAKI R， YOKOYAMA R， KOBARA T， et al. Multi-objective curing optimization of carbon fiber composite materials using data assimilation and localized heating［J］. Composites Part A： Applied Science and Manufacturing， 2019， 119： 61-72.
26	LIU S T， LI Y G， GAN J Y， et al. Active control of cure-induced distortion for composite parts using multi-zoned self-resistance electric heating method［J］. Journal of Manufacturing Processes， 2023， 93： 47-59.
27	XU K， LI Y G， CAO G G， et al. Thermally controlled shape programming via image-based optimization towards distortion-reduced composite curing［J］. Journal of Manufacturing Systems， 2023， 70： 230-243.
28	丁安心，李书欣，倪爱清，等. 热固性树脂基复合材料固化变形和残余应力数值模拟研究综述［J］. 复合材料学报， 2017， 34（3）： 471-485.
	DING A X， LI S X， NI A Q， et al. A review of numerical simulation of cure-induced distortions and residual stresses in thermoset composites［J］. Acta Materiae Compositae Sinica， 2017， 34（3）： 471-485 （in Chinese）.
29	LUO L， ZHANG B M， ZHANG G W， et al. Rapid prediction of cured shape types of composite laminates using a FEM-ANN method［J］. Composite Structures， 2020， 238： 111980.

参数	数值
频率因子 $A /$ （10⁷ $m i n - 1$ ）	2.28
活化能∆E/（10⁴ J∙ $m o l - 1$ ）	9.241
气体常数R/（J∙ $m o l - 1$ ∙ $K - 1$ ）	8.314
反应常数n	1.485

参数	橡胶态	玻璃态
沿纤维方向弹性模量E1/MPa	38 691.037	58 425.422
垂直纤维方向弹性模量E2/MPa	42 102.122	61 709.779
厚度方向弹性模量E3/MPa	248.968	11 842.532
面内剪切模量G12/MPa	8 374.396	20 261.931
面内剪切模量G13/MPa	44.405	3 988.572
垂直剪切模量G23/MPa	44.835	4 078.428
面内泊松比v12	0.094 8	0.259 6
面内泊松比v13	0.511 4	0.307 3
垂直泊松比v23	0.504 4	0.301 7
沿纤维方向热膨胀系数 $β 1$ /（ $μ ε ∙ ℃ - 1$ ）		4.071 7
垂直纤维方向热膨胀系数 $β 2$ /（ $μ ε ∙ ℃ - 1$ ）		3.653 1
厚度方向热膨胀系数 $β 3$ /（ $μ ε ∙ ℃ - 1$ ）		54.385 3
沿纤维方向化学收缩系数 $γ 1$ /‱	-1.903 5
垂直纤维方向化学收缩系数 $γ 2$ /‱	-1.881 7
厚度方向化学收缩系数 $γ 3$ /%	-1.392 1

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Optimized distortion control method of CFRP curing region temperature field driven by near⁃zero stress equivalent temperature field

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