Single-objective optimization of CFRP laminated board scarf-repair structure based on response surface method

doi:10.19936/j.cnki.2096-8000.20210928.004

Abstract

Abstract: To obtain the optimization of scarf repair structure of CFRP laminates. Firstly, a three-dimensional damage accumulation model is established through three-dimensional solid elements, and the validity of the established simulation model is verified through experiments. Moreover, a surrogate model of tensile strength was constructed using Latin hypercube sampling (LHS) method and response surface method (RSM). Finally, the optimized design of scarf repair structure is obtained by combination of the surrogate model and genetic algorithm (GA). The research results show that, the error is less than 10% between the numerical and experimental results, indicating that the established finite element model is valid. The failure model of the scarf repair structure under tensile load is mainly the shear failure of the adhesive layer. The adhesive layer damage starts at the position corresponding to the 0° layer of the laminates and the patch, and then expands around. After the adhesive layer fails, the patch loses its load. Capacity, the mother board continues to bear the load and breaks at the narrowest point. The best adhesive layer thickness, scarf repair angle and rotation angle are 0.1035 mm, 2.5° and 0°, respectively. Compared with the conventional scarf repair structure, the tensile strength is increased by 12.57%. Genetic algorithm is used to optimize the scarf repair structure of CFRP laminates, which is of great significance to improve the mechanical properties of scarf repair structure.

Key words: scarf structure, scarf parameters, proxy model, optimized design, tensile strength, composites

CLC Number:

TB332

TIAN Ke-ke, LI Cheng, HU Chun-xing, GUO Jian. Single-objective optimization of CFRP laminated board scarf-repair structure based on response surface method[J]. COMPOSITES SCIENCE AND ENGINEERING, 2021, 0(9): 22-30.

References

[1] 聂恒昌, 徐吉峰, 关志东, 等. 复合材料胶接修理层合板拉伸性能及影响参数[J]. 材料工程, 2017, 45(10): 124-131.
[2] 徐绯, 刘斌, 李文英, 等. 复合材料修理技术研究进展[J]. 玻璃钢/复合材料, 2014(8): 105-112.
[3] 贺强, 杨文锋, 唐庆如. 复合材料挖补修理技术研究现状与发展趋势[J]. 玻璃钢/复合材料, 2015(4): 85-90.
[4] WHITTINGHAM B, BAKER A, HARMAN A, et al. Micrographic studies on adhesively bonded scarf repairs to thick composite aircraft structure[J]. Composites Part A: Applied Science and Manufacturing, 2009, 40(9): 1419-1432.
[5] 李成, 郑艳萍, 铁瑛. 不同荷载作用下圆孔板孔边及孔口附近应力场的仿真分析[J]. 中国机械工程, 2008(1): 99-102.
[6] ODI R A, FRIEND C M, et al. An improved 2D model for bonded composite joints[J]. International Journal of Adhesion and Adhesives, 2001(5): 389-405.
[7] WANG C H, GUNNION J. Optimum shapes of scarf repairs[J]. Composites Part A: Applied Science and Manufacturing, 2009, 40(9): 1407-1418.
[8] ROBERT S P, BRIAN G F. Modelling the size and strength benefits of optimised step/scarf joints and repairs in composite structures[J]. Composites Part B: Engineering, 2019, 173: 1359-8368.
[9] RIDER A N, WANG C H, CAO J. Internal resistance heating for homogeneous curing of adhesively bonded repairs[J]. International Journal of Adhesion and Adhesives, 2011, 31(3): 168-176.
[10] 程小全, 赵文漪, 高宇剑, 等. 胶粘剂性能对挖补修理层合板拉伸性能的影响[J]. 北京航空航天大学学报, 2013, 39(9): 1144-1149, 1162.
[11] CHAO W, CHEN C, LI H. Comparison on damage tolerance of scarf and stepped-lap bonded composite joints under quasi-static loading[J]. Composites Part B: Engineering, 2018, 155: 19-30.
[12] 王绥安, 谢宗蕻, 李想. 复合材料层合板斜切型挖补修理试验[J]. 哈尔滨工业大学学报, 2017, 49(5): 56-61.
[13] 刘国春, 幸李雯, 杨文锋, 等. 铺层方向角偏差对复合材料层板阶梯挖补的拉伸强度影响研究[J]. 玻璃钢/复合材料, 2015(4): 52-56.
[14] ERDAL O, SONMEZ F O. Optimum design of composite laminates for maximum buckling load capacity using simulated annealing[J]. Composite Structures, 2005(71): 45-52.
[15] MAHDI A N, KAZEM F, DAMINO P, et al. Surrogate-based multi-objective optimization of a composite laminate with curvilinear fibers[J]. Composite Structures, 2012(94): 2306-2313.
[16] 毛振刚, 侯玉亮, 李成, 等. 搭接长度和铺层方式对CFRP复合材料层合板胶接结构连接性能和损伤行为的影响[J]. 复合材料学报, 2020, 37(1): 121-131.
[17] SUN L G, TIE Y, HOU Y L, et al. Prediction of failure behavior of adhesively bonded CFRP scarf joints using a cohesive zone model[J]. Engineering Fracture Mechanics, 2020, 228.
[18] HASHIN Z. Failure criteria for unidirectional fiber composites[J]. Journal of Applied Mechanics, 1980, 47(2): 329-334.
[19] CHUN H W, ANDREW J G. On the design methodology of scarf repairs to composite laminates[J]. Composites Science and Technology, 2008, 68(1): 35-46.
[20] LIJ F, YAN Y, ZHANG T T, et al. Experimental study of adhesively bonded CFRP joints subjected to tensile loads[J]. International Journal of Adhesion & Adhesives, 2015, 57: 95-104.