Abstract
Micromechanical approaches are used in mathematical modeling of randomly distributed carbon nanofibers (CNFs) in a thermoset polymer material. Both CNF waviness and CNF-matrix interphase properties are included in the model. The interphase mechanical properties are considered to vary in a manner similar to functionally graded materials. The effects of stochastic uncertainties on the overall properties of the composite material are represented using the probability theory. The uncertainties are propagated in calculating the axial buckling load probability of a thin-walled composite cylinder, which is then optimized for minimum material volume. The probabilistic design optimization results are presented and discussed.
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