The anisotropy of fiber reinforced composites is often designed for so
me special loading conditions to obtain high strength or other propert
ies. On the other hand, the anisotropy also brings about high sensitiv
ities to loading conditions. This leads to the necessity to take accou
nt of the uncertainties of loads and some other design parameters. The
reliability design is effective for this type of problems. This paper
deals with the optimum configuration design of fiber reinforced lamin
ates under probabilistic conditions of loads and material properties.
A multiaxially laminated composite is treated as a series system. The
Tsai-Wu failure criterion is adopted as the limit state function of un
idirectionally oriented plies in the laminate. A multiple-checkpoint m
ethod is used to estimate the system failure probability. An optimizat
ion problem is defined to determine the number of fiber orientation ax
es, orientation angles, and ply ratios in a laminate. The solution pro
cedure is proposed and its validity is demonstrated through numerical
examples.