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Delamination buckling of flat laminates

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Buckling and Postbuckling of Composite Plates

Abstract

The constant demand for lighter and more efficient structural configurations has led the structural engineer to the use of new man-made materials. At the same time, this demand has forced upon him very sophisticated methods of testing, analysis and design, as well as of fabrication and manufacturing. The recent explosive progress in the production and use of composite materials has pointed toward the clear possibility of man creating specific materials for specific applications. At the same time, it has been realized that there arise demands for: a complete understanding of the behaviour of composite materials and the influences on this behaviour; establishment of design criteria upon which proper use of composites can rest; and the training of engineers in the design and use of composite structures. For all three items, it is important to recognize that, with the advent of composite media, certain new material imperfections can be found in composite structures in addition to the better-known imperfections that one finds in metallic structures. Thus, broken fibres, delaminated regions, cracks in the matrix material, as well as holes, foreign inclusions and small voids constitute material and structural imperfections that can exist in composite structures. Imperfections have always existed and their effect on the structural response of a system has been very significant in many cases.

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Abbreviations

a :

Length of delamination

h,H :

Distance of delamination from upper and lower surface, respectively

l 1 :

Distance of delamination from left end of the plate

t :

Thickness of the plate

L :

Length of the plate

ā :

a/L

h :

h/t

H :

H/t = 1–h

aij, Cij:

Constants

A xx C xx :

Axial extensional stiffness

B xx :

Coefficient of coupling between bending and stretching

C :

End fixity factor (C = 1 for SS and 4 for CC)

D xx :

Axial bending stiffness

Q 11 :

Axial stiffness of single layer

E xx , E yy , v xy :

Material constants

p :

Pcr/Pcrperf

p 3 :

P3/Pthin

P 1 :

Axial forces

Pcrperf:

Cπ2Dxx1/ L2

P thin :

4π 2 D xx/ a 2

P :

Applied compressive force

K l 2 :

P l p/ D xxl

Mi :

Bending moment

N xx :

Stress resultant

V l :

Shear forces

u l ,w l :

In-plane and transverse displacement components

G :

Energy release rate

G:

G*L4/ Q11t5

G* :

Critical value of G

G*:

GL 4 /Q 11 t 5

λ2 :

PL 2 /D xx1

()p :

Primary state parameters

()a :

Additional state parameters

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  1. G. J. Simitses
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Editors and Affiliations

  1. Engineering Department, Lancaster University, UK

    G. J. Turvey

  2. Mechanical and Manufacturing Engineering Department, University of Paisley, UK

    I. H. Marshall

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Simitses, G.J. (1995). Delamination buckling of flat laminates. In: Turvey, G.J., Marshall, I.H. (eds) Buckling and Postbuckling of Composite Plates. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1228-4_9

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  • DOI: https://doi.org/10.1007/978-94-011-1228-4_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4537-7

  • Online ISBN: 978-94-011-1228-4

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