Model for Fracture in Fibrous Materials

Abstract

A fiber bundle model in $(1+1)$-dimensions for the breaking of fibrous composite matrix is introduced. The model consists of $N$ parallel fibers fixed in two plates. When one of the plates is pulled in the direction parallel to the fibers, these can be broken with a probability that depends on their elastic energy. The mechanism of rupture is simulated by the breaking of neighbouring fibers that can generate random cracks spreading up through the system. Due to the simplicity of the model we have virtually no computational limitation. The model is sensitive to external conditions as temperature and traction time-rate. The energy {\it vs.} temperature behaviour, the diagrams of stress {\it vs.} strain and the histograms of the frequency {\it vs.} size of cracks are obtained. (to appear in Phys. Rev. B)