Particular　attention　is　given　to　the　M-shape　metal-rubber　(MMR),　which　is　a　porous　material　with　cushioning　characteristics　and　excellent　heat　resistance　coated　in　pipelines.　The　heat　transfer　characteristics　and　thermo-mechanical　property　of　MMR　has　not　been　clear　due　to　its　complicated　micro-porous　structures　and　the　coupling　effect　between　structure　and　performance.　In　this　work,　the　influence　of　different　parameters　(emissivity,　density　and　gap　distance)　on　the　equivalent　thermal　conductivity　of　MMR　were　considered　at　the　mesoscopic　model　level.　In　addition,　thermal　stress　at　different　temperatures　was　used　as　predefined　fields　for　thermal-mechanical　coupling　to　analyze　the　transformations　of　performance.　The　results　indicate　that　surface　emissivity　and　cavity　emissivity　during　heat　transfer　exhibit　an　inverse　relationship　with　MMR　thermal　conductivity.　Furthermore,　it　is　observed　that　natural　convection　has　the　most　significant　impact　on　thermal　conductivity.　And,　the　thermal　conductivity　is　negative　correlation　with　density　and　gap　distances.　Under　cyclic　loading,　stress　concentration　and　plastic　strain　occur　in　MMR,　and　residual　thermal　stress　is　generated.　The　secant　stiffness　exhibits　a　positive　correlation　with　temperature,　while　the　loss　factor　demonstrates　a　negative　correlation,　primarily　due　to　thermal　expansion.　©　Published　under　licence　by　IOP　Publishing　Ltd.