The research and development in composite mechanics are reviewed from 1965 to 2006. The review covers micromechanics, macromechanics failure theories, impact resistance, structural analysis, plate and panel buckling, shell buckling, progressive fracture, containment, and probabilistic composite simulation. A few remarks are included about aerodynamic loads and a new all composite engine concept. Most of the sample cases are from the author's own research since this research covers all aspects of composites and since this avoids the permissions required by other authors when their results are included. References are cited as appropriate so that the reader can further look in any specific area.