Degradation Models of Unidirectional Laminated Board in Consideration of Volume Fraction of Reinforced Fiber and Temperature

doi:10.11901/1005.3093.2020.434

Chinese Journal of Materials Research

2021, Vol. 35

Issue (12): 893-902 DOI: 10.11901/1005.3093.2020.434

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Degradation Models of Unidirectional Laminated Board in Consideration of Volume Fraction of Reinforced Fiber and Temperature

WU Yifan, WEN Weidong(

), CUI Haitao, ZHANG Hongjian

College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Cite this article:

WU Yifan, WEN Weidong, CUI Haitao, ZHANG Hongjian. Degradation Models of Unidirectional Laminated Board in Consideration of Volume Fraction of Reinforced Fiber and Temperature. Chinese Journal of Materials Research, 2021, 35(12): 893-902.

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Abstract

The conventional fatigue damage factor was redefined by analyzing the relevant fatigue damage mechanisms in detail. Then, a model of residual-stiffness and -strength was individually proposed in consideration of the influence of reinforced fiber volume fraction and temperature on the properties of unidirectional fiber reinforced composites. Furthermore, by introducing temperature correction parameters into the above models of room temperature, a correlation model of residual strength with residual stiffness was further acquired, therewith the establish of residual strength model may be facilitated by reducing the dependance on the number of residual strength tests, and relieving the effect of data dispersion as well. Finally, the fatigue test data and residual strength test data of composite collected from the existing literatures were fitted and verified, it follows that the residual stiffness model and residual strength model can accurately describe the degradation behavior of residual stiffness and residual strength. The residual stiffness model can be also used to predict the degradation behavior of the residual stiffness of the composite with different fiber volume fraction at different temperature.

Key words: composite damage factor residual stiffness residual strength temperature fiber volume fraction

Received: 19 October 2020

ZTFLH:

V258+.3

Fund: National Science and Technology Major Project of China(2017-IV-0007-0044)

About author: WEN Weidong, Tel: 13601401667, E-mail: gswwd@nuaa.edu.cn

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	Yifan WU
	Weidong WEN
	Haitao CUI
	Hongjian ZHANG

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https://www.cjmr.org/EN/10.11901/1005.3093.2020.434 OR https://www.cjmr.org/EN/Y2021/V35/I12/893

Fig.1 Damage propagation and stiffness degradation of composites

Stacking sequence	$V f / %$	$T /$ ℃
[45/-45]_2S	28	20
[45/-45]_3S	35	20
[45/-45]_4S	43	20

Table 1 Test conditions for T300/HCGP-1 composites

Fig.2 Schematic diagram of sample geometry (unit: mm)

Fitting parameter	Fitting results	Fitting parameter	Fitting results
$k 1$	1.36	$k 6$	1.34
$k 2$	-0.76	$k 7$	1.47
$k 3$	-18.21	$k 8$	0.72
$k 4$	12.22	$c 1$	0.71
$k 5$	-2.3	$c 2$	0.01

Table 2 Fitting results of residual stiffness model

Fig.3 Regularized residual stiffness curve and verification

Fitting parameter	Fitting results
$w$	$0.9042$

Table 3 Fitting results of residual strength model

Fig.4 Regularized residual strength curve and verification

Fig.5 Experimental setup

Stacking sequence	$V f / %$	Temperature/℃
[0]₈	47.20	20
[0]₈	47.20	160
[0]₁₂	51.89	160
[0]₁₂	51.89	200
[0]₁₆	64.32	20

Table 4 Test conditions for T300/QY8911-IV unidirectional composites

Fig.6 Schematic diagram of sample geometry (unit: mm)

Fitting parameter	Fitting results	Fitting parameter	Fitting results
$k 1$	-5.11	$k 7$	10.1
$k 2$	2.56	$k 8$	-10.11
$k 3$	13	$c 1$	1.065
$k 4$	-10.88	$c 2$	1.318
$k 5$	2.06	$k$	0.25
$k 6$	-0.1	$T r$	-42.49

Table 5 Fitting results of residual stiffness model

Fig.7 Regularized residual stiffness curve and verification

Fig.8 Influence of temperature on stiffness degradation

Fig.9 Effect of fiber volume fraction on stiffness degradation

Fitting parameter	Fitting results
$w$	$1.75$
$t$	$25.37 × 10 - 3$
$s$	$25.11 × 10 - 4$

Table 6 Fitting results of residual strength model

Fig.10 Regularized residual strength curve and verification

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