Bukling of nano-fibre reinforced composites: a re-examination of elastic buckling

摘要

Elastic buckling of layered/fibre reinforced composites is investigated. Assuming the existence of both shear and transverse modes of failure, the fibre is analysed as a layer embedded in a matrix. Interacting stresses, acting at the interfaces are determined from an exact derived stress field in the matrix. It is shown that bucking can occur only in the shear buckling mode and that the transverse buckling mode is spurious. As opposed to the well known Rosen shear buckling mode solution (predicated on an infinite buckling wavelength), shear buckling is shown to exist under two regimes: buckling of dilute composites with finite wavelengths and buckling of non-dilute composites with infinite wavelengths.