As　a　new　composite　material　with　high　strength,　toughness,　and　heat　resistance,　the　continuous　fiber-reinforced　polyaryl　ether　sulfone　ketone　(PPESK)　thermoplastic　resin　matrix　composite　(CFRP)　has　a　wide　temperature　range,　which　is　attributed　to　the　complex　temperature　sensitivity　of　the　matrix.　The　failure　evolution　characteristics　under　different　conditions　are　not　clear　yet,　which　significantly　limits　its　development　and　application　to　high-precision　equipment.　In　this　work,　in　order　to　deeply　explore　the　full　three-dimensional　(3D)　multi-scale　multi-physics　damage　evolution　mechanism　of　the　CFRP　over　a　wide　temperature　range,　macroscale　cross-temperature　stretching/bending　experiments,　computer　tomography　(CT)　scanning,　and　microscale　scanning　electron　microscopy　(SEM)　are　performed　to　effectively　capture　the　overall　damage　morphology　and　local　fiber/matrix　damage　failure　characteristics　of　the　material.　The　results　show　that　the　reinforcement　with　continuous　fibers　increases　the　tensile　strength　of　the　CFRP　by　14–45　times　and　its　bending　strength　by　2–6　times　compared　to　those　of　the　PPESK　matrix　in　the　cross-temperature　domain.　Moreover,　the　main　failure　mechanism　of　the　CFRP　in　the　cross-temperature　domain　is　matrix　crushing　and　fiber　fracture　at　room　temperature　and　fiber　fretting　slip　and　matrix　viscous　flow　at　high　temperatures.　This　further　explains　the　deformation　mechanism　of　the　CFRP,　which　can　maintain　its　stability　at　high　temperatures　(low　elongation　at　break:　1%–1.2%).　The　unique　trans-temperature　regional　energy　evolution　and　continuous　fiber　reinforcement　of　the　material　matrix　resin　PPESK　lay　the　synergic　stability　of　the　high　temperature　performance　and　damage　morphology　of　the　CFRP.　In　particular,　a　cell　model　is　constructed　to　further　reveal　the　damage　evolution　characteristics　of　the　matrix,　fiber,　and　interface　of　the　CFRP　at　the　micro-scale.　Combined　with　the　failure　mode　theory　and　the　performance　degradation　mechanism　of　composite　materials,　the　temperature　influence　factor　is　introduced　to　formulate　a　multi-scale　full　3D　temperature-dependent　damage　evolution　constitutive　model　of　the　CFRP　over　a　wide　temperature　range.　The　constitutive　model　of　the　CFRP　is　incorporated　in　finite　element　software,　and　the　simulation　results　are　compared　with　the　experimental　ones　for　validation.　The　results　show　that　the　model　developed　in　this　work　can　effectively　characterize　the　complex　mechanical　damage　morphology　and　progressive　failure　characteristics　of　the　CFRP　over　a　wide　temperature　range.　©　2023　Elsevier　Ltd