Large-rupture　strain　(usually　larger　than　5%)　fiber-reinforced　polymer　(LRS　FRP)　composites　are　attractive　materials　for　the　seismic　retrofit　of　concrete　structures.　Jacketing　LRS　FRP　on　concrete　columns　can　effectively　improve　the　ultimate　strength　and　deformation　of　a　concrete　structure　and　make　the　concrete　structure　have　excellent　ductility　and　superior　energy　absorption　capacity.　In　comparison　with　conventional　FRP,　the　concrete　under　LRS　FRP　confinement　experiences　a　more　severe　damage　process　when　it　is　under　large　deformation.　The　confining　pressure　at　the　large　deformation　can　alter　the　concrete　plastic　flow　and　significantly　affect　the　cyclic　stress-strain　path　of　LRS-FRP　confined　concrete.　This　study　evaluates　the　performance　of　existing　cyclic　models　(e.g.,　unloading　path,　reloading　path,　and　plastic　strain)　using　a　database　including　both　traditional　and　LRS　FRP-confined　concrete.　Through　an　analytical　study　on　the　cyclic　response　of　LRS　FRP-confined　concrete,　two　key　parameters　(plastic　strain　and　stress　degradation)　were　found　to　significantly　influence　the　cyclic　behavior　of　LRS　FRP-confined　concrete.　By　defining　these　two　critical　parameters,　a　new　cyclic　stress-strain　model　was　developed　for　LRS　FRP　confined-concrete　with　good　performance.　The　proposed　cyclic　model　was　also　applicable　in　predicting　both　post-peak　strain　hardening　and　softening　behavior　when　used　in　a　stiffness-based　envelope　model.