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This paper presents the micromechanical modeling of fiber bridging constitutive laws of a discontinuous fiber reinforced composite (DFRC) under monotonic and cyclic loading with the effects of fiber fatigue rupture. Based on the considerations of fatigue damage on randomly distributed fibers under the fatigue loading of constant crack opening amplitude, the monotonic and cyclic fiber bridging constitutive laws are derived. It is shown that, as fiber fatigue rupture proceeds, maximum bridging stress as well as crack opening displacement at which bridging stress vanishes are decreased. Also, the critical normalized number of cycles, n*crit, at which crack bridging degradation takes place, is analytically derived, and its role is explained for the design of a DFRC against fatigue

Effect of fiber fatigue rupture on monotonic and cyclic crack bridging laws in discontinuous fiber reinforced composites