Mechanical Properties Degradation Under Fatigue Loading in Pultruded Unidirectional Glass Fiber Reinforced Polymer Composites

doi:10.12141/j.issn.1000-565X.220760

Abstract

Abstract:

Pultruded glass fiber reinforced polymer (GFRP) composites are extensively applied in the field of ultra-high voltage power transmission due to their excellent electrical and mechanical properties, and the design considering its performance degradation characteristics under fatigue loading is the key to the application. This study carried out static load tests and fatigue tests under different conditions with the pultruded unidirectional GFRP. A fatigue life prediction model was established based on a piecewise linear constant life diagram determined by S-N curves. According to the stiffness degradation law under different stress ratios, a modified damage accumulation model based on the improved trigonometric function was presented to describe the nonlinear stiffness degradation process under both tension-tension and tension-compression fatigue loads. The correlation model between residual strength and residual stiffness was established to predict the strength degradation precisely. The results show that the stiffness degradation processes of GFRP under tension-tension and tension-compression fatigue loads are significantly different. The model proposed in the paper can accurately predict the residual strength under the two conditions. Under compression-compression fatigue load, there are two different patterns for the stiffness degradation processes, and the residual strength test shows that the strength within the first 70% fatigue life does not exhibit a significant degradation.The prediction model for the residual strength and residual stiffness of GFRP under different fatigue loading provides a guide for the durability design of GFRP.

Key words: glass fiber reinforced polymer （GFRP）, S-N curve, constant life diagram, fatigue life prediction, stiffness degradation, residual strength prediction

CLC Number:

TB332

HE Jiapeng, ZHANG Jinyu, CHEN Zhangxing, et al.. Mechanical Properties Degradation Under Fatigue Loading in Pultruded Unidirectional Glass Fiber Reinforced Polymer Composites[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(1): 62-71.

Figures/Tables 16

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Table 1

Model parameters’ values of C， k and d"

载荷	$C$	$k$	$d$
拉-拉（ $0 < r < 1$ ）	0.7	-1	2.2
拉-压（ $r < 0$ ）	2.2	2.1	-0.13

Table 1

Fig.12

Table 2

Parameters’ values in the residual strength model under different loadings"

加载情况	$σ m a x S u$	$N / 104$	$x$ /%	$D E$	$S r S u$	$D S$	$w$
拉-拉（ $r = 0.1$ ）	0.50	1.29	26	0.101	0.63	0.712 0	0.148
拉-拉（ $r = 0.1$ ）	0.25	43.50	35	0.020	0.93	0.093 0	0.604
拉-压（ $r = - 1$ ）	0.23	8.55	58	0.539	0.75	0.326 0	1.810
拉-压（ $r = - 1$ ）	0.17	41.40	36	0.429	0.79	0.253 0	1.620

Table 2

Table 3

Residual strength prediction values and test results"

加载情况	$σ m a x S u$	$N / 104$	$x$ /%	$D E$	$D S$	$S r ̑ S u$	$S r S u$
拉-拉（ $r = 0.1$ ）	0.35	7.65	65	0.155	0.496	0.67	0.72
拉-压（ $r = - 1$ ）	0.19	23.10	43	0.472	0.275	0.78	0.79

Table 3

Table 4

Residual strength values with different life ratios under C-C fatigue load"

实验序号	$σ m a x S c$	$x$ /%	$S r S c$
1	0.55	87	0.96
2	0.68	77	1.08
3	0.73	70	1.00

Table 4

References 22

1	单青．新型复合横担在特高压输电铁塔中的应用研究［D］．北京：华北电力大学，2017.
2	FERDOUS W， MANALO A， PEAURIL J，et al ．Testing and modelling the fatigue behavior of GFRP composites—Effect of stress level， stress concentration and frequency［J］．Engineering Science and Technology，an International Journal，2020，23（5）：1223-1232.
3	JAGANNATHAN N， ANILCHANDRA A R， MANJU-NATHA C M ．A study on the fatigue performance of a glass fiber-epoxy polymer nanocomposite under random loads［J］．Nanocomposites，2015，1（3）：138-144.
4	孔令美，郑威，高泉喜，等．玻纤增强树脂基复合材料的疲劳性能研究［J］．化工新型材料，2015，43（7）：177-179.
	KONG Lingmei， ZHENG Wei， GAO Quanxi，et al ．Study of the fatigue characteristic of glass fiber reinforced resin composites［J］．New Chemical Materials，2015，43（7）：177-179.
5	GANESAN C， JOANNA P S ．Fatigue life and residual strength prediction of GFRP composites：an experimental and theoretical approach［J］．Latin American Journal of Solids and Structures，2018，15（7）：e72/1-16.
6	STOJKOVIĆ N， FOLIĆ R， PASTERNAK H ．Mathematical model for the prediction of strength degradation of composites subjected to constant amplitude fatigue［J］．International Journal of Fatigue，2017，103：478-487.
7	PAKDEL H， MOHAMMADI B ．Stiffness degradation of composite laminates due to matrix cracking and induced delamination during tension-tension fatigue［J］．Engineering Fracture Mechanics，2019，216：106489/1-11.
8	GAO J X， YUAN Y P ．Probabilistic modeling of stiffness degradation for fiber reinforced polymer under fatigue loading［J］．Engineering Failure Analysis，2020，116：104733/1-12.
9	THOR M， SAUSE M G R， HINTERHÖLZLR M ．Mechanisms of origin and classification of out-of-plane fiber waviness in composite materials—a review［J］．Journal of Composites Science，2020，4（3）：130-168.
10	VIEIRA P R， CARVALHO E M L， VIEIRA J D，et al ．Experimental fatigue behavior of pultruded glass fiber reinforced polymer composite materials［J］．Composites Part B：Engineering，2018，146：69-75.
11	IQBAL M A ．Fatigue life of pultruded and hand lay-up GFRP exposed to different environmental conditions［D］．Maine：The University of Maine，2002.
12	POST N L ．Modeling the residual strength distribution of structural GFRP composite materials subjected to constant and variable amplitude tension-tension fatigue loading［D］．Virginia：Virginia Polytechnic Institute and State University，2005.
13	刘浩龙．考虑孔隙及尺寸效应的碳纤维/树脂基复合材料疲劳研究［D］．南京：南京航空航天大学，2019.
14	YUAN Y， YAO X， NIU K，et al ．Compressive failure of fiber reinforced polymer composites by imperfection［J］．Composites Part A：Applied Science and Manufacturing，2019，118：106-116.
15	BASQUIN O H ．The exponential law of endurance tests［C］∥ Proceedings of the American Society for Testing and Materials．Philadelphia：American Society for Testing and Materials，1910：625-630.
16	VASSILOPOULOS A P， MANSHADI B D， KELLER T ．Influence of the constant life diagram formulation on the fatigue life prediction of composite materials［J］．International Journal of Fatigue，2010，32（4）：659-669.
17	PHILIPPIDIS T P， VASSILOPOULOS A P. Life prediction methodology for GFRP laminates under spectrum loading［J］．Composites Part A：Applied Science and Manufacturing，2004，35：657-666.
18	POST N L， CASE S W， LESKO J J ．Modeling the variable amplitude fatigue of composite materials：a review and evaluation of the state of the art for spectrum loading［J］．International Journal of Fatigue，2008，30（12）：2064-2086.
19	REIFSNIDER K L， HENNEKE E G， STINCHCOMB W W，et al ．Damage mechanics and NDE of composite laminates［M］∥HASHIN Z，HERAKOVICH C T．Mechanics of composite materials：recent advances．New York：Pergamon Press Ltd，1983：399-420.
20	寇海霞．复合材料风电叶片刚度退化模型研究［D］．兰州：兰州理工大学，2019.
21	SHIRI S， YAZDANI M， POURGOL-MOHAMMAD M ．A fatigue damage accumulation model based on stiffness degradation of composite materials［J］．Materials & Design，2015，88：1290-1295.
22	廉伟，姚卫星．复合材料层压板剩余刚度-剩余强度关联模型［J］．复合材料学报，2008，25（5）：151-156.
	LIAN Wei， YAO Weixing ．Residual stiffness residual strength coupled model of composite laminates［J］Acta Materiae Compositae Sinica，2008，25（5）：151-156.

[1]	YANG Xufeng, LIU Zeqing, ZHANG Yi. Estimation of P-S-N Curve of Metal Materials Based on Bayesian Neural Network [J]. Journal of South China University of Technology(Natural Science Edition), 2023, 51(11): 82-92.
[2]	ZHAO Er-nian QU Wei-lian ZHOU Qiang. Multiaxial Fatigue Life Prediction of Metallic Materials Based on Critical Plane Damage Parameter [J]. Journal of South China University of Technology (Natural Science Edition), 2017, 45(2): 130-136,152.
[3]	Lu Nian- li Zhan Wei- gang. Fatigue Life Prediction of Crane Based on Equivalent Initial Flaw Size and Power Spectral Density [J]. Journal of South China University of Technology (Natural Science Edition), 2014, 42(4): 118-123,130.
[4]	Zhang Xian-min Wang Qi-liang. Research Progress of Fatigue Reliability and Damage Identification of Compliant Mechanisms [J]. Journal of South China University of Technology(Natural Science Edition), 2012, 40(10): 190-197.
[5]	Huang Pei-yan Zhou Xu-ping Yang Yi Niu Peng-zhi Zheng Shun-chao. Fatigue Lives of RC Beams Strengthened with Carbon Fiber Laminates Under Bending Loads [J]. Journal of South China University of Technology (Natural Science Edition), 2007, 35(10): 198-204.