Polymeric composites are used widely in modern industry. The prediction
of mechanical behaviour of these material under different loadings is therefore of vital importance in many applications. Mathematical modelling offers a robust and cost effective method to satisfy this
objective. In this project a comprehensive finite element model for
particulate and fibre reinforced composites is developed. The most significant features of this model are: The inclusion of slip boundary conditions: The inclusion of flux terms across the inter-phase boundaries to take the discontinuity of the material properties into account in the model: The use of penalty method in conjunction with Stokes flow equations
which allow the application of the developed model to solid elasticity
analysis as well as creeping viscous flows.
The predictions of this model are compared with available theoretical
models and experimental data. These comparisons show that the
developed model yields accurate and reliable data for composite
A Doctoral Thesis. Submitted in partial fulfillment of the requirements for the award of Doctor of Philosophy of Loughborough University.