Composite plates have the advantages of high strength and light weight and are widely used in the field of aerospace engineering. Instability is their most common failure mode. Considerable research on the instability of composite plates under linear loads has been conducted, but there is less research on the instability of composite plates under nonlinear loads. Therefore, an instability discriminant model for a metal composite plate under a nonlinear load is established using a metal composite plate as the object of study. The influence of width, thickness, thickness ratio, and material properties on the discrimination factor of instability is analyzed. Analysis results show that, for common metal composite plates with aspect ratios four, under the same load, larger ratios of width to thickness, smaller elastic moduli, and larger Poisson's ratios of each layer of the plate make the plate more prone to instability. Under the premise of the same total load, compared with the linear uniform load, the composite plate is more and more prone to instability with the increase of the nonlinear load. These conclusions serve to supplement theoretical results.

References

References
1.
Fang
,
X.
,
2006
, “
Optimize of Buckling Stability of Composite Laminate by Genetic Algorithm
,” Ph.D. thesis, Northeastern University, Shenyang, China.
2.
Ji
,
X.
,
Pang
,
Y.
, and
Yuan
,
J.
,
2008
, “
Discussion on the New Process Program of Clad Plate
,”
Gansu Metall.
,
30
(
1
), pp.
41
43
.
3.
Yang
,
Q.
, and
Chen
,
X.
,
1994
, “
Buckling Theory and Its Use in Shaping Control of Cold Rolling Mill
,”
Metall. Equip.
,
1
, pp.
1
4
.
4.
Liu
,
H.
,
Peng
,
Y.
, and
Chu
,
Y.
,
2002
, “
Strip Element Method for Shape Discrimination of Strip Rolling
,”
J. Yanshan Univ.
,
26
(
2
), pp.
95
98
.
5.
Zhao
,
Z.
,
Wang
,
D.
,
Liu
,
H.
, and
Wang
,
P.
,
2015
, “
Shape Instability Fast Discrimination Model of Thin Cold-Rolled Strip
,”
J. Plast. Eng.
,
3
, pp.
133
137
.
6.
Fischer
,
F. D.
,
Rammerstorfer
,
F. G.
, and
Friedl
,
N.
,
2003
, “
Residual Stress-Induced Center Wave Buckling of Rolled Strip Metal
,”
ASME J. Appl. Mech.
,
70
(
1
), pp.
84
90
.
7.
Fischer
,
F. D.
,
Friedl
,
N.
,
Noe
,
A.
, and
Rammerstorfer
,
F. G.
,
2005
, “
A Study of the Buckling Behaviour of Strips and Plates With Residual Stress
,”
Steel Res. Int.
,
76
(
4
), pp.
327
335
.
8.
Fischer
,
F. D.
,
Rammerstorfer
,
F. G.
,
Friedl
,
N.
, and
Wieser
,
W.
,
2000
, “
Buckling Phenomena Related to Rolling and Levelling of Sheet Metal
,”
Int. J. Mech. Sci.
,
42
(
10
), pp.
1887
1910
.
9.
Rammerstorfer
,
F. G.
,
Fischer
,
F. D.
, and
Friedl
,
N.
,
2001
, “
Buckling of Free Infinite Strips Under Residual Stresses and Global Tension
,”
ASME J. Appl. Mech.
,
68
(
3
), pp.
399
404
.
10.
Turvey
,
G. J.
, and
Marshall
,
I. H.
,
1995
,
Buckling and Postbuckling of Composite Plates
,
Chapman & Hall Press
, London,
UK
, Chap. 2.
11.
Berthelot
,
J.
,
1999
,
Composite Materials
,
Springer-Verlag
,
Berlin
, Chap. 23.
12.
Yang
,
J.
, and
Ma
,
L.
,
2014
,
Mechanics of Composite Materials
,
National Defence Industry Press
,
Beijing, China
, Chap.7.
13.
Kumar
,
A.
,
Panda
,
S. K.
, and
Kumar
,
R.
,
2015
, “
Buckling Behaviour of Laminated Composite Skew Plates With Various Boundary Conditions Subjected to Linearly Varying In-Plane Edge Loading
,”
Int. J. Mech. Sci.
,
100
, pp.
136
144
.
14.
Zhong
,
H.
, and
Gu
,
C.
,
2006
, “
Buckling of Simply Supported Rectangular Reissner–Mindlin Plates Subjected to Linearly Varying In-Plane Loading
,”
J. Eng. Mech.
,
132
(
5
), pp.
578
581
.
15.
Zhong
,
H.
, and
Gu
,
C.
,
2007
, “
Buckling of Symmetrical Cross-Ply Composite Rectangular Plates Under a Linearly Varying In-Plane Load
,”
Compos. Struct.
,
80
(
1
), pp.
42
48
.
16.
Kang
,
J. H.
, and
Leissa
,
A. W.
,
2005
, “
Exact Solutions for the Buckling of Rectangular Plates Having Linearly Varying In-Plane Loading on Two Opposite Simply Supported Edges
,”
Int. J. Solids Struct.
,
42
(
14
), pp.
4220
4238
.
17.
Milazzo
,
A.
, and
Oliveri
,
V.
,
2015
, “
Post-Buckling Analysis of Cracked Multilayered Composite Plates by pb-2 Rayleigh–Ritz Method
,”
Compos. Struct.
,
132
, pp.
75
86
.
18.
Chen
,
G.
,
2005
, “
Post Buckling Behavior Analysis of Composite Laminated Plates and Shells Structures
,” Ph.D. thesis, Northwestern Polytechnical University, Shanxi, China.
19.
Ganapathi
,
M.
,
Boisse
,
P.
, and
Solaut
,
D.
,
1999
, “
Non-Linear Dynamic Stability Analysis of Composite Laminates Under Periodic In-Plane Compressive Loads
,”
Int. J. Numer. Methods Eng.
,
46
(
6
), pp.
943
956
.
20.
Sun
,
Y.
,
Liu
,
H.
, and
Peng
,
Y.
,
2009
, “
Reduced Order Model for Shape Discrimination of Strip Rolling
,”
Eng. Mech.
,
26
(
12
), pp.
204
210
.
21.
Zhang
,
Z.
,
2011
,
Know matlab R2011a
,
Beihang University Press
,
Beijing, China
, Chap. 5.
You do not currently have access to this content.