The aim of the PhD thesis is to develop advanced multiscale modelling and simulation techniques to predict wrinkling phenomena in multilayered composites. Local wrinkling is characterised by a small modal wave-length if compared with a representative dimension of the structure and it is due to localised high compressive stresses. Direct simulation of local wrinkling is not effective since: 

1. piloting the non-linear simulation is very difficult because of the existence of too many solution paths around the useful one;
2. direct finite element simulation requires a large amount of elements and, therefore, it is computationally complex and time demanding. 

There is, therefore, a need for accurate models and computationally efficient techniques that:

1. account for the most important scales involved in the simulation;
2. allow obtaining the useful solutions easily and effectively.