Study on curing deformation of composite materials using response surface methodology

doi:10.19936/j.cnki.2096-8000.20260428.015

Abstract

Abstract: To address the issue of curing deformation caused by residual stress in composite material curing processes, this study aims to predict composite curing deformation using a sequentially coupled thermal-mechanical numerical simulation method. Components were fabricated via the autoclave process. The influence of process parameters on curing deformation was investigated and controlled based on the response surface methodology (RSM). A response surface model was established using measured data points to obtain optimal curing parameters. The results indicate that the maximum deformation error between the numerical simulation (via sequential thermal-mechanical coupling) and experimental results is 14.56%. For the optimal curing parameters derived from RSM optimization, the maximum deviation between predicted curing deformation and experimentally measured maximum deformation does not exceed 36.17%. Furthermore, the optimized maximum deformation is reduced by 55.38% compared to traditional processes.

Key words: response surface method, carbon fiber composite materials, curing deformation, optimization

CLC Number:

TB332

LIU Shiyu , NIU Xuejuan. Study on curing deformation of composite materials using response surface methodology[J]. COMPOSITES SCIENCE AND ENGINEERING, 2026, 0(4): 124-131.

References

[1] 乔巍, 姚卫星, 黄杰. 考虑模具和黏弹性的复合材料固化变形数值模型[J]. 复合材料科学与工程, 2020(10): 67-74.
[2] WHITE S R, KIM Y K. Process-induced residual stress analysis of AS4/3501-6 composite material[J]. Mechanics of Composite Materials and Structures, 1998, 5(2): 153-186.
[3] DING A X, LI S X, WANG J H, et al. A three-dimensional thermo-viscoelastic analysis of process-induced residual stress in composite laminates[J]. Composite Structures, 2015, 129: 60-69.
[4] 陶裕梅, 郑子君, 邵家儒. 纤维增强复材C形圆台壳件固化变形的预测方法[J]. 航空材料学报, 2022, 42(3): 70-79.
[5] SVANBERG J M, HOLMBERG J A. Prediction of shape distortions Part Ⅰ. FE-implementation of a path dependent constitutive model[J]. Composites Part A: Applied Science and Manufacturing, 2004, 35(6): 711-721.
[6] 杨智勇, 左小彪, 范春浩, 等. 典型复合材料结构固化变形仿真预测与控制验证[J]. 宇航材料工艺, 2024, 54(2): 54-61.
[7] 王富强, 牛雪娟. 基于固化变形分析优化设计抛物面反射器模具[J]. 复合材料科学与工程, 2025(3): 115-120, 156.
[8] 潘浩东, 李德华, 尹艳华, 等. 碳纤维树脂基复合材料壳体固化过程数值分析[J]. 热固性树脂, 2020, 35(6): 27-32, 37.
[9] SHAH P H, HALLS V A, ZHENG J Q, et al. Optimal cure cycle parameters for minimizing residual stresses in fiber-reinforced polymer composite laminates[J]. Journal of Composite Materials, 2018, 52(6): 773-792.
[10] DOLKUN D, ZHU W D, XU Q, et al. Optimization of cure profile for thick composite parts based on finite element analysis and genetic algorithm[J]. Journal of Composite Materials, 2018, 52(28): 3885-3894.
[11] WHITE S R, HAHN H T. Process modeling of composite materials: residual stress development during cure. Part I. Model formulation[J]. Journal of Composite Materials, 1992, 26(16): 2402-2422.
[12] JOHNSTON A A. An integrated model of the development of process-induced deformation in autoclave processing of composite structures[D]. Vancouver: University of British Columbia, 1997.
[13] KIM Y K, WHITE S R. Stress relaxation behavior of 3501-6 epoxy resin during cure[J]. Polymer Engineering & Science, 1996, 36(23): 2852-2862.
[14] 张江涛, 尚云东, 张梅, 等. 复合材料固化相关黏弹性性能演化及残余应力分析[J]. 复合材料学报, 2017, 34(5): 978-986.
[15] 何靓, 朱攀星, 俆小伟, 等. 复合材料残余应力与固化变形机理及控制研究进展[J]. 复合材料科学与工程, 2022(7): 121-128.
[16] 元振毅, 魏方见, 孔令飞, 等. 模具-复合材料相互作用的复合材料固化变形仿真方法研究[J]. 复合材料科学与工程, 2023(10): 10-16.
[17] 薛景, 王晓洁, 王喜占, 等. 碳纤维增强树脂基复合材料固化残余应力评估方法研究现状[J]. 固体火箭技术, 2023, 46(2): 253-262.
[18] 毛帮笑, 夏细胜, 王大奎, 等. 基于响应面法的SiO2f/SiO2复合材料多级防潮涂层工艺优化[J]. 航天制造技术, 2023(3): 33-39.
[19] 赵川涛, 贾志欣, 刘立君, 等. 环氧树脂/碳纤维复合材料模压制品翘曲变形的影响因素分析[J]. 中国塑料, 2024, 38(3): 59-66.