An analytical model is presented for the Mode I interlaminar fracture of laminated composites reinforced with aligned carbon nanotubes (CNTs). The model is based on the crack-closure technique, or fiber bridging, and assumes that the aligned CNTs at the interface enhance toughness mechanistically through frictional sliding through pullout from the matrix. The model captures normalized key parameters effecting toughness such as CNT volume fraction, CNT length, and the resistance of CNTs to pullout. Recent experimental studies have shown the possibility of effectively reinforcing advanced fiber/polymeric resin composites by introducing CNTs perpendicular to the matrix-rich interface, and the model is compared to those results and also to numerical solutions for the same mechanics problem. Limitations of the model and recommended extensions are discussed.
展开▼