Analysis of Composite Structures







Foreword

The aim of this book is to present the basis for calculation of composite

structures, using continuum mechanics equations which enable the more elaborate

theories to be treated.

The first part is devoted to study of materials constituting the layers of laminated

composites. The constitutive equations for anisotropic and in particular orthotropic

materials are presented, with temperature and hygrometry effects taken into account.

Next the basic laws of mixtures are given, which enable the behaviour of

unidirectional layers to be predicted from the characteristics of their fibres and

matrix components.

The subject of the second part is multi-layer plates. We begin by presenting the

general equations of thin plates in Kirchhoff-Love analysis. Later, symmetrical

orthotropic plates are studied in detail for cases of bending, vibration and buckling.

The thermo-elastic behaviour of multi-layers plates is considered separately. Then

we tackle symmetric orthotropic moderately thick plates, using Reissner-Mindlin

type analysis. Examples of asymmetrical plates in Kirchhoff-Love theory are

analysed in detail. The cylindrical bending of laminated composites is treated in

both Kirchhoff-Love and Reissner-Mindlin type analysis, with bending, vibration

and buckling applications.

The third part of this book is devoted to beams. The first chapter of this part

treats tension-compression loading. The following chapter treats bending with

transverse shear deformations not taken in account. The last chapter of this part

presents bending taking into account transverse shear. Examples of bending,

vibration and buckling are considered for each case.

In the appendices, plate equations are developed by integrating local equations of

motion. Global equations are obtained from variational formulae of continuum

mechanics.


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