Increasing application of fiber reinforced composites in lightweight c
onstructions causes a demand for reliable computational models. Differ
ent intentions require different models some of which are screened in
the following. Fiber and matrix models are mostly used to predict homo
genized elastic properties, some micromechanical problems are treated
in addition. Standard applications in structural analysis are based on
homogeneous two-dimensional models. Advantages and limitations of dif
ferent laminatewise approximations are pointed out. Layerwise approxim
ations are not so popular as yet; special aspects of some of them are
discussed. The use of three-dimensional models is limited because of t
heir high computational cost. As a typical example the free edge effec
t is examined.