Computational modeling of failure of textile composites

A mathematical model of failure of textile composite materials is proposed. The model is based on the asymptotic averaging method and the application of the finite-element method to solving local problems in the periodicity cell. As a criterion of the matrix strength, the modified Pisarenko–Lebedev model is used. As a criterion of the reinforcing fiber strength, the two-level damage model for a monofiber bundle is applied. The model developed allows us to forecast the propagation of micro-destruction in the periodicity cell of a composite under varying load combinations. Computational results show the possibilities of the developed model for numerical investigation of micro-destruction of textile composites.