Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (5): 1559-1566.doi: 10.13229/j.cnki.jdxbgxb.20230859

Previous Articles     Next Articles

Stress field and fatigue assessment method of composite materials with notches

Wei SHEN1,2(),Zi-li BIAN1,2,Yu-wen CHEN3,Yu QIU1,2,Shuang-xi XU1,2,Yi-gang WU1()   

  1. 1.Key Laboratory of High Performance Ship Technology (Wuhan University of Technology),Ministry of Education,Wuhan 430063,China
    2.School of Naval Architecture,Ocean and Energy Power Engineering,Wuhan University of Technology,Wuhan 430063,China
    3.CCCC Guanghang Dredging Co. ,Ltd. ,Guangzhou 510290,China
  • Received:2023-08-14 Online:2025-05-01 Published:2025-07-18
  • Contact: Yi-gang WU E-mail:shenwei_abc@163.com;ewyg@whut.edu.cn

Abstract:

Based on the stress field formula near the crack tip,double-sided V-notch component models with initial cracks were established.The effects of notch depth,crack length,opening angle,material parameters and other factors on the notch stress field were quantified.A simple formula for solving the stress intensity factor SIF of the double-sided V-notch component with initial cracks was derived,which could be used for rapid prediction of the stress field and SIF of the notched component with cracks.The comparison results show that the error between the simplified formula and the theoretical method and finite element simulation results is relatively small, which verifies the effectiveness and accuracy of the improved formula.

Key words: composite, anisotropic plate, initial crack, notch stress field, stress intensity factor

CLC Number: 

  • TB332

Fig.1

V-notch parameters"

Fig.2

Numerical model parameters"

Table 1

Mechanical properties of materials"

材料编号Ex /GPaEy /GPaνxyψ

[90] n UD碳/

环氧树脂

M1190.09.90.350.592

[0] n 编织玻璃/

环氧树脂

M229.729.70.170.138
环氧树脂M3114.811.70.210.553

Table 2

Main size range of the numerical model"

尺寸

切口

深度l

裂纹

长度a

切口深度与

板宽之比l/W

长宽比

h/W

张开

2α

范围10~50 mm1~5 mm0.01~0.3630°~120°

Fig.3

Stress field distribution under different grid sizes"

Fig.4

ΥI value under different opening angles"

Fig.5

ΥI value under different a/l"

Fig.6

ΥI value under different l/W"

Fig.7

Linear relationship between lg (a/l) and lgΥI"

Fig.8

Fitting curves for parameters A and B"

Fig.9

Functional relationship between ΥI,m /ΥI,0.1 and l/W"

Fig.10

Formula calculation of stress field error"

Fig.11

ΥI value error at a=2 mm"

Fig.12

Prediction error of M2 material model"

Fig.13

Prediction error of M3 material model"

[1] Li Y F, Sun T, Tian Y S, et al. A stress intensity factor estimation method for the kinked crack under anti-planet load[J]. Theoretical and Applied Fracture Mechanics, 2018, 93: 319-325.
[2] 葛仁余, 牛忠荣, 程长征,等. 反平面V形切口塑性应力奇异性分析[J]. 固体力学学报, 2015, 36(1): 76-84.
Ge Ren-yu, Niu Zhong-rong, Cheng Chang-zheng, et al. Analysis of plastic stress singularities of anti-plane V-notches in hardening materials[J]. Chinese Journal of Solid Mechanics, 2015, 36(1): 76-84.
[3] Shipman, Benjamin H. Calculation of the generalized stress intensity factors for a V-notched anisotropic body[D]. Raleigh: North Carolina State University, 2002.
[4] Yao S L, Zappalorto M, Pan W, et al. Two dimensional displacement and stress fields for tri-material V-notches and sharp inclusions in anisotropic plates[J]. European Journal of Mechanics A: Solids, 2020, 80: 103927.
[5] Yu Y F, Pei X J, Wang P, et al. A structural stress approach accounting for notch effects on fatigue propagation life: part I theory[J]. International Journal of Fatigue, 2022, 159: 106793.
[6] 孙齐. 预置裂纹复合材料层合板拉伸性能及裂纹扩展分析[D]. 大连: 大连理工大学汽车工程学院, 2020.
Sun Qi. Analysis of tensile properties and crack propagation of pre-cracked composite laminates[D]. Dalian: College of Automotive Engineering, Dalian University of Technology, 2020.
[7] 李碧琛. CF/EP复合材料裂纹扩展的数值模拟与试验研究[D]. 哈尔滨: 哈尔滨工业大学材料科学与工程学院, 2014.
Li Bi-chen. Numerical simulation and experimental research on crack propagation in CF/EP composite materials[D]. Harbin: College of Materials Science and Engineering, Harbin Institute of Technology, 2014.
[8] 罗白璐, 朱英富, 李之达,等. 夹芯结构的疲劳裂纹损伤扩展研究[J]. 船舶力学, 2019, 23(8): 988-996.
Luo Bai-lu, Zhu Ying-fu, Li Zhi-da, et al. Research on fatigue crack damage propagation of sandwich structures[J]. Journal of Ship Mechanics, 2019, 23(8): 988-996.
[9] Williams M L. Stress singularities resulting from various boundary conditions in angular corners of plate in extension[J]. Journal of Applied Mechanics-Transactions of the Asme, 1952, 19(4): 526-528.
[10] Zappalorto M, Carraro P A. Stress fields at sharp angular corners in thick anisotropic composite plates[J]. Composite Structures, 2014, 117(1): 346-353.
[11] Zappalorto M. Mode I generalised stress intensity factors for rounded notches in orthotropic plates[J]. Theoretical and Applied Fracture Mechanics, 2019, 101: 356-364.
[12] Zappalorto M, Ricotta M. Effect of material orthotropy on the notch stress intensity factors of sharp V-notched plates under tension[J]. Theoretical & Applied Fracture Mechanics, 2019, 104: 102375.
[13] Dini D, Hills D A. When does a notch behave like a crack[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2006, 220(1): 27-43.
[14] Lou B Q, Barltrop N. Physical differences between models of an infinitesimal crack at a V-notch edge and a crack emanating from a V-notch tip along with their approximate solutions[J]. International Journal of Solids & Structures, 2021, 219: 1-10.
[1] Wei-dong HAO,Jian-qi LI. Deformation characteristics of prestressed steel plate-brick masonry composite wall under support failure [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(4): 1356-1362.
[2] Hao JIANG,Zheng-wen ZHAO. Experiment on shear performance of RC beams strengthened with basalt fiber grid cement-based composites [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(1): 211-220.
[3] Fang-fang WEI,Li-ping LI,Qing-peng XU,You-zheng ZHAO,Jing-jing YANG. Experiment on seismic behavior of fire-fired composite shear wall with double steel plates and infill concrete after reinforcement [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(1): 230-244.
[4] Bao-dong LIU,Fang LI,Xiao-xi WANG,Meng GAO. Flexural stiffness and bearing capacity of corrugated steel plate composite structures reinforced by concrete [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2502-2510.
[5] Ya-ning CUI,Chun-di SI,Tao-tao FAN,Fei WANG. Analysis on crack propagation of asphalt bridge deck pavement under water-force coupling action [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(7): 1988-1996.
[6] Chun-lei ZHANG,Chang-yu SHAO,Qing-tian SU,Chang-yuan DAI. Experimental on positive bending behaviour of composite bridge decks with steel-fiber-reinforced concrete and longitudinal bulb-flat ribs [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(6): 1634-1642.
[7] Han-hui HUANG,Kang-ming CHEN,Qing-xiong WU. Flexural behavior of composite continuous girders with concrete-filled steel tubular truss chords [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(6): 1665-1676.
[8] Shu-mei LOU,Yi-ming LI,Xin LI,Peng CHEN,Xue-feng BAI,Bao-jia CHENG. Thermal deformation behavior of graphene nanosheets reinforced 7075Al based on BP neural network and Arrhenius constitutive equation [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(5): 1237-1245.
[9] Xiao-bo LIU,Miao YANG,De-kun ZHOU. Microstructure and wear resistance of (Mg2Si+Si)/Al composites [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 938-946.
[10] Chao YANG,Qing-yun YAO,Shuang-mei TANG,Qi-long CHEN,Feng QIN. Thermal conductivity and electrical insulation properties of fluorographene/polyimide composite films [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 663-673.
[11] Li HUI,Lei JIN,Wan-wan SONG,Song ZHOU,Jin-lan AN. Crack growth rate of SMA490BW steel in different welding areas for bogie [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 650-656.
[12] Liang XU,Jing-hou XIAO,Wan-wan SONG,Song ZHOU. Three⁃point bending fatigue properties of carbon fiber composite laminates [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(2): 400-409.
[13] Fang-yun LI,Rong XIA,Xiao-min XI. Power demand control of composite power supply for idle start stop hybrid electric vehicles [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(12): 3443-3449.
[14] Ben-tian YU,Yan-xiao LI,Zhan-xu ZHANG,Jun-hui SU,Chao XIE,Kai ZHANG. Effect of different stone powder and content on properties of high ductility engineered cementitious composites [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(10): 2908-2921.
[15] Xie-li ZHANG,Chong WU,Qing-tian SU. Experiment on load capacity of profiled steel sheeting-concrete composite bridge decks [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(10): 2870-2883.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] Liu Guang-da,Deng Guang-fu . Synchronization control for row and column movement
on laser imaging instruments
[J]. 吉林大学学报(工学版), 2006, 36(05): 736 -0739 .
[2] . [J]. 吉林大学学报(工学版), 2007, 37(06): 1349 -1353 .
[3] LIU Jing, BAI Tao, KANG Hui. Preprocessing method for iris classification and rotation correction based on corner characteristics[J]. 吉林大学学报(工学版), 2010, 40(06): 1678 -1682 .
[4] LIU Rui-jun, HU Ping. Algorithm of automatically filling hole on covering surface based on mesh information[J]. 吉林大学学报(工学版), 2011, 41(05): 1322 -1325 .
[5] Lü Jian-ting,Ma Guang-fu,Li Chuan-jiang . Fuzzy sliding mode controller design for satellite attitude tracking[J]. 吉林大学学报(工学版), 2007, 37(04): 955 -958 .
[6] Yu Zheng-tao,Mao Cun-li,Deng Jin-hui,Zhang Cheng,Guo Jianyi . Answer extraction scheme for Chinese question answering system based on pattern learning[J]. 吉林大学学报(工学版), 2008, 38(01): 142 -147 .
[7] . [J]. 吉林大学学报(工学版), 2005, 35(01): 106 -0110 .
[8] ZHAO Yue, LIU Yan-heng, YU Xue-gang, WEI Da, SHAN Chang-wei, ZHAO Yang . Method for mobile path prediction based on pattern mining and matching
[J]. 吉林大学学报(工学版), 2008, 38(05): 1125 -1130 .
[9] LENG Xin, ZHU Qi-dan. Multi-model predictive control of drum water level in marine supercharged boiler based on dynamic compensation by radial basis function neural network[J]. 吉林大学学报(工学版), 2011, 41(05): 1450 -1455 .
[10] ZHAO Yan, LIU Jing, CHEN He-xin, LIU Bo-xuan. Fast stereo matching algorithm used in stereo video coding based on video plus depth[J]. , 2012, 42(04): 1032 -1036 .