Progressive failure analysis of notched composite plate by utilizing macro mechanics approach

doi:10.1007/s11709-021-0726-8

Frontiers of Structural and Civil Engineering

2021, Vol. 15

Issue (3): 623-642 https://doi.org/10.1007/s11709-021-0726-8

本期目录

Progressive failure analysis of notched composite plate by utilizing macro mechanics approach

Seyed M. N. GHOREISHI¹, Mahdi FAKOOR¹(

), Ahmad AZIZI²

¹. Faculty of New Sciences and Technologies, University of Tehran, Tehran 1439957131, Iran
². Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran

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Abstract：

In this study, gradual and sudden reduction methods were combined to simulate a progressive failure in notched composite plates using a macro mechanics approach. Using the presented method, a progressive failure is simulated based on a linear softening law prior to a catastrophic failure, and thereafter, sudden reduction methods are employed for modeling a progressive failure. This combination method significantly reduces the computational cost and is also capable of simultaneously predicting the first and last ply failures (LPFs) in composite plates. The proposed method is intended to predict the first ply failure (FPF), LPF, and dominant failure modes of carbon/epoxy and glass/epoxy notched composite plates. In addition, the effects of mechanical properties and different stacking sequences on the propagation of damage in notched composite plates were studied. The results of the presented method were compared with experimental data previously reported in the literature. By comparing the numerical and experimental data, it is revealed that the proposed method can accurately simulate the failure propagation in notched composite plates at a low computational cost.

Key words： progressive failure notched composite plate Hashin failure criterion macro mechanics approach finite element method

收稿日期: 2020-07-26 出版日期: 2021-07-14

Corresponding Author(s): Mahdi FAKOOR

引用本文:

. [J]. Frontiers of Structural and Civil Engineering, 2021, 15(3): 623-642.
Seyed M. N. GHOREISHI, Mahdi FAKOOR, Ahmad AZIZI. Progressive failure analysis of notched composite plate by utilizing macro mechanics approach. Front. Struct. Civ. Eng., 2021, 15(3): 623-642.

链接本文:

https://academic.hep.com.cn/fsce/CN/10.1007/s11709-021-0726-8
https://academic.hep.com.cn/fsce/CN/Y2021/V15/I3/623

Fig.1

Fig.2

Fig.3

Fig.4

lay-up configuration	type	lamination code
$[08] T$	unidirectional	01
$[458] T$ d	unidirectional	02
$[908] T$	unidirectional	03
$[0 / 90 / 0 / 90] S$	cross-ply	04
$[30 / − 30 / 30 / − 30] S$	angle-ply	05
$[0 / 90 / ± 45] S$	quasi-isotropic	06

Tab.1

parameters	glass/epoxy	carbon/epoxy
$E x$	45 GPa	121 GPa
$E y$	10 GPa	8.6 GPa
$υ xy$	0.3	0.27
$υ yz$	0.4	0.4
$G xy$	5 GPa	4.7 GPa
$G yz$	3.85 GPa	3.1 GPa
$X T$	1100 MPa	2231 MPa
$X C$	675 MPa	1082 MPa
$Y T$	35 MPa	29 MPa
$Y C$	120 MPa	100 MPa
$S$	80 MPa	60 MPa
$G ft,c$	65 N/mm	81.5 N/mm
$G fc,c$	65 N/mm	106.3 N/mm
$G mt,c$	3 N/mm	0.277 N/mm
$G mc,c$	5 N/mm	0.5 N/mm

Tab.2

Fig.5

Fig.6

lay-up configuration	glass/epoxy		carbon/epoxy
lay-up configuration	critical load for FPF (kN)	ultimate strength for FPF (MPa)	critical load for FPF (kN)	ultimate strength for FPF (MPa)
$[08] T$	7.45	116.44	12.33	192.61
$[458] T$	1.24	19.38	0.97	15.22
$[908] T$	0.79	12.42	0.65	10.12
$[0 / 90 / 0 / 90] S$	5.94	92.87	9.76	152.55
$[30 / − 30 / 30 / − 30] S$	4.98	77.86	5.45	85.25
$[0 / 90 / ± 45] S$	5.58	87.23	10.25	160.11

Tab.3

lay-up configuration	glass/epoxy		carbon/epoxy
lay-up configuration	critical load for LPF (kN)	ultimate strength for LPF (MPa)	critical load for LPF (kN)	ultimate strength for LPF (MPa)
$[08] T$	38.18	596.65	63.71	995.47
$[458] T$	3.53	55.16	27.62	43.16
$[908] T$	2.06	32.19	16.69	26.08
$[0 / 90 / 0 / 90] S$	19.56	305.62	32.07	501.09
$[30 / − 30 / 30 / − 30] S$	13.21	206.41	14.66	225.54
$[0 / 90 / ± 45] S$	19.12	298.75	35.02	547.19

Tab.4

stacking sequence	Lee et al. [5]		present study		error
stacking sequence	FPF (MPa)	LPF (MPa)	FPF (MPa)	LPF (MPa)	FPF (%)	LPF (%)
$[(0 / 90) 6] S$	322	397	331.2	411.2	2.86	3.58
$[(0 / ± 45 / 90) 3] S$	161	260	168.5	271.3	4.66	4.35
$[(± 45) 6] S$	109	114	114.2	119.5	4.56	4.82

Tab.5

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

method	lay-up configuration	number of elements	computational time (min)
proposed combination method	$[0 / 90 / ± 45] S$	8456	145
gradually degradation methods	$[0 / 90 / ± 45] S$	8456	270

Tab.6

Fig.19

Fig.20

Fig.21

Tab.7

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