Elastoplastic transverse properties of a unidirectional fibre reinforced composite

An approximate theoretical study is made to predict the overall transverse elastoplastic properties of a unidirectional fibre reinforced composite. Based on the simplest deformation theory of plasticity, the overall transverse polyaxial elastoplastic constitutive equations for an incompressible composite are obtained. A simple formula is suggested to evaluate the average stress in the fibres. Furthermore, with the prediction of the overall transverse elastic moduli of a compressible composite, the overall transverse uniaxial stress-strain curve for a compressible composite in the entire elastic-plastic range is obtained. A detailed example is given for a Boron-Aluminum composite. Comparison is made with the experimental and theoretical work done by General Dynamics and Adams respectively.