Televisions defining relations for polymer composite on a fabric basis, taking into account aging, creep, the accumulation of micro, destruction of material. The problem of determining the durability of the material on the basis of generalization of the phenomenological strength criterion. The results of the calculations and the distribution pattern of stress intensity parameter of micro, level photodegradation matrix composite and the results of numerical experiments to assess the durability of film-fabric material with different geometrical and mechanical parameters of the composite.