固体力学与飞行器总体设计

变频加载纤维增强复合材料剩余强度预测

  • 马辉东 ,
  • 连喆 ,
  • 杨鑫源 ,
  • 李德旺 ,
  • 白学宗 ,
  • 安宗文
展开
  • 兰州理工大学 机电工程学院,兰州 730050
.E-mail: anzongwen@163.com

收稿日期: 2024-08-16

  修回日期: 2024-09-11

  录用日期: 2024-10-24

  网络出版日期: 2024-11-07

基金资助

国家自然科学基金(52365017);兰州市青年科技人才创新项目(2023-QN-35);兰州理工大学优秀博士学位论文培育计划资助项目

Residual strength prediction for fiber-reinforced composites under variable frequency loading

  • Huidong MA ,
  • Zhe LIAN ,
  • Xinyuan YANG ,
  • Dewang LI ,
  • Xuezong BAI ,
  • Zongwen AN
Expand
  • School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China
E-mail: anzongwen@163.com

Received date: 2024-08-16

  Revised date: 2024-09-11

  Accepted date: 2024-10-24

  Online published: 2024-11-07

Supported by

National Natural Science Foundation of China(52365017);Youth Science and Technology Talent Innovation Project in Lanzhou City of China(2023-QN-35);Incubation Program of Excellent Doctoral Dissertation-Lanzhou University of Technology

摘要

针对聚合物基复合材料力学性能的应变率依赖性问题,探讨、量化了复合材料静态和疲劳性能的应变率强化效应,提出了变频加载下复合材料剩余强度和疲劳损伤的评估方法。首先,分别对包含和不包含静强度的疲劳寿命数据执行幂律S-N曲线拟合,分析静强度和疲劳寿命的加载频率敏感性,进而通过引入应变率强化系数,量化了应变率对材料强度的强化程度,确保了复合材料力学性能表征数据的应变率一致性。其次,利用强度储备概念构建了独立于应力水平的概率型剩余强度模型,该模型能仅用一组模型参数预测任意应力水平下的强度退化过程。最后,基于所开发的模型和公开数据进行了变频加载的剩余强度预测,结果表明,升频加载和降频加载造成的累积损伤分别为0.323、0.493,与试验数据相差不超过5%,预测结果可靠。

本文引用格式

马辉东 , 连喆 , 杨鑫源 , 李德旺 , 白学宗 , 安宗文 . 变频加载纤维增强复合材料剩余强度预测[J]. 航空学报, 2025 , 46(8) : 231068 -231068 . DOI: 10.7527/S1000-6893.2024.31068

Abstract

To address the strain-rate dependence of the mechanical properties in polymer matrix composites, the strain-rate strengthening effect on the static and fatigue properties of such composites is investigated, quantified, and a method for assessing residual strength and fatigue damage of these composites under variable-frequency loading is proposed. Firstly, power-law S-N curve fitting was performed on the fatigue life data with and without static strength respectively, and the loading frequency sensitivity of static strength and fatigue life was analyzed. Besides, the strengthening magnitude of strain rate on material strength was quantified by integrating strain rate strengthening coefficient, which ensured the strain rate consistency of the data for characterizing the mechanical properties of the composite materials. Secondly, a probabilistic residual strength model independent of stress level was derived using the concept of strength reserve, which can predict the strength degradation process at any stress level with only one set of model parameters. Finally, based on the developed model and published data, the residual strength prediction under variable frequency loading was carried out. The results show that the cumulative damage caused by the ascending-frequency and descending-frequency loading are 0.323 and 0.493 respectively, which are less than 5% different from the experimental data, and the prediction results are reliable.

参考文献

1 SHABANI P, TAHERI-BEHROOZ F, SAMAREH-MOUSAVI S S, et al. Very high cycle and gigacycle fatigue of fiber-reinforced composites: A review on experimental approaches and fatigue damage mechanisms[J]. Progress in Materials Science2021118: 100762.
2 方光武, 高希光, 宋迎东. 针刺C/SiC复合材料拉-压疲劳特性与失效机理[J]. 材料工程201644(11): 78-82.
  FANG G W, GAO X G, SONG Y D. Tension-compression fatigue behavior and failure mechanism of needled C/SiC composite[J]. Journal of Materials Engineering201644(11): 78-82 (in Chinese).
3 廖力达, 舒王咏, 张芝铭, 等. 基于哨兵函数和S变换的风力机叶片材料损伤特性研究[J]. 太阳能学报202445(7): 656-663.
  LIAO L D, SHU W Y, ZHANG Z M, et al. Study on damage characteristics of wind turbine blade materials based on sentinel function and S-transform[J]. Acta Energiae Solaris Sinica202445(7): 656-663 (in Chinese).
4 余海燕, 贺宏伟, 邢萍. 考虑不同刚度退化模式的碳纤维增强复合材料失效模型开发[J]. 机械工程学报202460(2): 197-208.
  YU H Y, HE H W, XING P. Development of carbon fiber reinforced plastic failure models considering different stiffness degradation modes[J]. Journal of Mechanical Engineering202460(2): 197-208 (in Chinese).
5 LEI Z X, PAN R, SUN W K, et al. Fatigue damage mechanisms and evolution of residual tensile strength in CFRP Composites: Stacking sequence effect[J]. Composite Structures2024330: 117818.
6 LI A J, MAO Q Z, LI J K, et al. Review on methodologies of fatigue property prediction for carbon fiber reinforced polymer[J]. Composites Part B: Engineering2024284: 111659.
7 MOGHIMI-ARDEKANI A, HAO J Q, LOMOV S V, et al. Damage indicators in unidirectional natural fibre composites under fatigue loading[J]. Composite Structures2024349-350: 118522.
8 赵天, 李营, 张超, 等. 高性能航空复合材料结构的关键力学问题研究进展[J]. 航空学报202243(6): 526851.
  ZHAO T, LI Y, ZHANG C, et al. Fundamental mechanical problems in high-performance aerospace composite structures:State-of-art review[J]. Acta Aeronautica et Astronautica Sinica202243(6): 526851 (in Chinese).
9 PREMANAND A, RIENKS M, BALLE F. Damage assessment during ultrasonic fatigue testing of a CF-PEKK composite using self-heating phenomenon[J]. International Journal of Fatigue2024180: 108084.
10 MANDELL J F, MEIER U. Effects of stress ratio, frequency, and loading time on the tensile fatigue of glass-reinforced epoxy[M]∥Long-term Behavior of Composites. West Conshohocken: ASTM International, 1983: 55-77.
11 EFTEKHARI M, FATEMI A. On the strengthening effect of increasing cycling frequency on fatigue behavior of some polymers and their composites: Experiments and modeling[J]. International Journal of Fatigue201687: 153-166.
12 SUN C T, CHAN W S. Frequency effect on the fatigue life of a laminated composite[C]∥Composite Materials: Testing and Design (5th Conference). West Conshohocken: ASTM International, 1979.
13 SAFF C R. Effect of load frequency and lay-up on fatigue life of composites [M]∥Long-term Behavior of Composites. West Conshohocken: ASTM International, 1983: 78-91.
14 DUMPLETON P, BUCKNALL C. Comparison of static and dynamic fatigue crack growth rates in high-density polyethylene[J]. International Journal of Fatigue19879(3): 151-155.
15 MCKENNA G B, PENN R W. Time-dependent failure in poly (methyl methacrylate) and polyethylene[J]. Polymer198021(2): 213-220.
16 CHOU Y F, SUN C T. Modeling of the frequency effect on fatigue crack propagation in PMMA[J]. Engineering Fracture Mechanics198317(1): 17-26.
17 WYZGOSKI M G, NOVAK G E. Fatigue fracture of nylon polymers: Part Ⅱ effect of glass-fibre reinforcement [J]. Journal of Materials Science199126: 6314-6324.
18 SAUER J A, RICHARDSON G C. Fatigue of polymers[J]. International Journal of Fracture198016: 499-532.
19 HERTZBERG R W, MANSON J A, SKIBO M. Frequency sensitivity of fatigue processes in polymeric solids[J]. Polymer Engineering & Science197515(4): 252-260.
20 TSAI G C, DOYLE J F, SUN C T. Frequency effects on the fatigue life and damage of graphite/epoxy composites[J]. Journal of Composite Materials198721(1): 2-13.
21 D’AMORE A, CALIFANO A, GRASSIA L. Modelling the loading rate effects on the fatigue response of composite materials under constant and variable frequency loadings[J]. International Journal of Fatigue2021150: 106338.
22 HUANG A F, YAO W X, CHEN F. Analysis of fatigue life of PMMA at different frequencies based on a new damage mechanics model[J]. Mathematical Problems in Engineering20142014: 352676.
23 EPAARACHCHI J A, CLAUSEN P D. An empirical model for fatigue behavior prediction of glass fibre-reinforced plastic composites for various stress ratios and test frequencies[J]. Composites Part A: Applied Science and Manufacturing200334(4): 313-326.
24 SCHAFF J R, DAVIDSON B D. Life prediction methodology for composite structures. Part Ⅰ—Constant amplitude and two-stress level fatigue[J]. Journal of Composite Materials199731(2): 128-157.
25 PHILIPPIDIS T P, PASSIPOULARIDIS V A. Residual strength after fatigue in composites: Theory vs. experiment[J]. International Journal of Fatigue200729(12): 2104-2116.
26 BROUTMAN L J, SAHU S. A new theory to predict cumulative fatigue damage in fiberglass reinforced plastics[M]∥Composite Materials: Testing and Design (Second Conference). West Conshohocken: ASTM International, 1972: 170-188.
27 POST N L, CAIN J, MCDONALD K J, et al. Residual strength prediction of composite materials: Random spectrum loading[J]. Engineering Fracture Mechanics200875(9): 2707-2724.
28 马辉东, 曾世龙, 马强, 等. 计及应力水平效应的复合材料剩余强度概率模型[J]. 复合材料学报202441(2): 1080-1091.
  MA H D, ZENG S L, MA Q, et al. Probabilistic residual strength model for composite materials considering stress levels[J]. Acta Materiae Compositae Sinica202441(2): 1080-1091 (in Chinese).
29 CLAY S B, KNOTH P M. Experimental results of quasi-static testing for calibration and validation of composite progressive damage analysis methods[J]. Journal of Composite Materials201751(10): 1333-1353.
30 ENGELSTAD S P, CLAY S B. Comparison of composite damage growth tools for static behavior of notched composite laminates[J]. Journal of Composite Materials201751(10): 1493-1524.
31 D’AMORE A, CAPUTO F, GRASSIA L, et al. Numerical evaluation of structural relaxation-induced stresses in amorphous polymers[J]. Composites Part A: Applied Science and Manufacturing200637(4): 556-564.
32 D’AMORE A, GRASSIA L. A method to predict the fatigue life and the residual strength of composite materials subjected to variable amplitude (VA) loadings[J]. Composite Structures2019228: 111338.
文章导航

/