Metal　rubber　(MR)　is　a　damping　material　with　a　space-disordered　network　interpenetrating　structure.　The　fretting　wear　and　fracture　of　its　internal　spiral　turn　caused　by　mutual　extrusion　and　friction　are　the　main　reasons　for　its　fatigue　failure.　However,　the　research　on　fretting　wear　of　metal　wire　with　curvature　inside　metal　rubber　is　rarely　reported,　and　the　influence　of　curvature　on　the　fretting　wear　of　spiral　metal　wire　is　unclear.　In　order　to　deeply　explore　the　fretting　wear　characteristics　of　metal　wires　with　curvature,　the　fretting　wear　evolution　model　of　metal　wires　with　curvature　was　deduced　and　constructed　in　this　work.　Combined　with　finite　element　simulation　and　tribological　test,　the　difference　of　fretting　wear　between　metal　wire　with　curvature　and　metal　wire　without　curvature　was　analyzed.　The　results　show　that　the　fretting　wear　model　of　metal　wire　with　curvature　can　accurately　predict　the　wear　degree　of　metal　wire　with　curvature.　The　prediction　accuracy　error　is　within　10%　under　all　working　conditions.　There　are　apparent　differences　between　the　metal　wire　with　curvature　and　the　metal　wire　without　curvature　under　the　same　working　conditions.　In　particular,　when　the　metal　wire　contacts　at　a　slight　angle,　the　difference　in　the　wear　degree　between　them　is　extensive,　and　the　error　decreases　with　the　increase　of　contact　angle.　The　fretting　wear　evolution　model　of　metal　wire　with　curvature　is　more　suitable　for　predicting　fretting　wear　of　metal　wire　contact　pairs,　which　abound　in　MR　in　the　form　of　low　contact　angle　and　high　curvature.　©　2023,　The　Author(s),　under　exclusive　licence　to　Springer　Science+Business　Media,　LLC,　part　of　Springer　Nature.