Estimation of Rigidity and Deformation of Fiber Reinforced Composites with Consideration for Fiber Oriented Distribution

This study was conducted to estimate the rigidity and the deformation of the fiber composites with complicated fiber orientation. The new method which was able to indicate various fiber oriented states by use of an incomplete beta function was proposed in the previous paper. In this paper, a generalized laminated theory was presented to analyse the stress-strain relation for the fiber composites with a certain fiber oriented distribution. The effect of fiber oriented distribution on the elastic moduli of these composites was discussed by the proposed formulation. The numerical results on the elastic moduli agreed well with the experimental data. Furthermore, the deformation behavior of a laminated plate was estimated by combining this lamination theory with the finite element method. The numerical example of the deformation under uniaxial loading was shown for a composite plate with a typical orientation state.