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To discuss the ratchetting behavior of short glass fiber-reinforced epoxy polymer composites, experimental and theoretical studies were carried out. The effects of the fiber content and peak stress on the ratchetting behavior of the composite materials were discussed. The results show that the ratchetting strain decreases with increasing fiber content and decreasing peak stress. It was also found that the residual strain after unloading partly recovers with time, which indicates that the ratchetting strain consists of viscoelastic strain and plastic strain. Based on the experimental results, a viscoelastic-viscoplastic constitutive model is proposed, which can well simulate the ratchetting behavior and strain recovery of composites with different fiber contents.