Uncertainties of stress intensification near broken fibers of unidirectional composite with random fiber spacing

This paper aims at developing a probabilistic model of unidirectional composite with random fiber spacing, in order to predict the stress concentration at the broken and neighboring fibers. Micromechanical technique with random fiber spacing is used in the development of a new formulation of load sharing between broken and nearest neighbors fibers. By the development of a 3D finite difference scheme with random fibers spacing, a new governing system of coupled equations is obtained for fibers displacement and stresses concentration. Using the Monte Carlo, the sensitivities of the mechanical response are evaluated regarding the uncertainties in the design variables, namely fiber spacing, radius and Young’s modulus of fibers and matrix.