The paper deals with the assessment of the influence of morphological parameters of a 2D
random short fibre composite on its effective elastic properties. A double-scale 2D finite
element approach is used and periodic representative volume elements are generated
according to the model with an n-order approximate geometry. This one is
a recent and powerful tool to generate meshes in the context of complex microstructures
such as random fibre composites. Impact of three morphological features namely, aspect
ratio, tortuosity of fibres and width of the interphase area, is investigated. Numerical
results are provided for several contrasts of properties and volume fractions of fibres.