An analytical formulation is developed for the prediction of compressi
on strength of unidirectional polymer matrix composites. The exact sol
ution of the problem is simplified into an explicit equation for compr
ession strength. Then, a nondimensional group is identified and used t
o propose a simple formula for the prediction of compression strength.
The final formula can be used in design or to estimate the compressio
n strength of production parts without performing compression testing.
No empirical or semi-empirical parameters are used. The formula is va
lidated for a broad class of materials including a variety of polymer
matrices reinforced with carbon and glass fibers. Three parameters are
required: the shear stiffness and strength of the composite and the s
tandard deviation of fiber misalignment in the composite. All three pa
rameters can be measured by well-established techniques. Data from the
literature is used to validate the formula.