Analysis of Composite Structures
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
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.