Based　on　the　digital　forming　method　of　metal　rubber,　the　Global　point　topology　model　(GPTM)　reflecting　the　spatial　characteristics　is　established　to　realize　the　mapping　relationship　between　the　index　hardening　characteristics　of　metal　rubber　and　the　wire　turn　motion　behavior　under　the　macro　scale.　The　research　shows　that,　with　the　reduction　of　the　allowable　wire　turn　motion　space　and　the　increase　of　the　wire　turn　surface　roughness,　the　internal　multi-regional　wire　turns　successively　appear　the　spatial　motion　interference　phenomenon,　that　is,　the　generation　of　the　hard　friction　region,　which　is　often　the　main　cause　of　the　metal　rubber　index　hardening　characteristics.　At　the　same　time,　two　kinds　of　materials,　SUS-304　and　Nichrome,　are　introduced　to　establish　a　microscopic　model　of　metal　surface　roughness　with　fractal　characteristics,　aiming　at　realizing　the　research　on　the　cross-scale　friction　mechanical　behavior　of　metal　rubber　from　the　material　level　(microscopic　level).　The　results　show　that　HCP　increases　97.6　%　and　13.9　%　respectively　when　the　material　is　plastically　deformed.　While　increasing　the　hardness　and　strength,　the　extrusion　friction　at　the　contact　interface　is　increased,　which　affects　the　friction　mechanical　properties　of　metal　rubber.　The　metal　rubber　(ASS-MR)　made　of　304　stainless　steel　entered　the　plastic　phase　earlier　than　that　made　of　Cr20Ni80　(NI-MR)　and　increased　the　strength　by　phase　change　and　rapidly　entered　the　index　hardening.　The　difference　of　mechanical　behavior　in　the　soft　phase　is　closely　related　to　the　change　of　HCP　on　the　contact　surface　of　wire　turn　in　the　sliding　process.　Through　the　bottom-up　trans-scale　analysis　method,　the　multi-level　mapping　relationship　of　metal　rubber　from　the　bottom　material　to　the　space　structure　and　then　to　the　nonlinear　mechanical　behavior　is　realized,　which　provides　a　new　idea　for　exploring　the　basic　performance　and　mechanism　of　this　kind　of　micro-pore　topology　materials.　©　2025　Elsevier　Ltd