The　mechanical　properties　of　high-temperature　rocks,　after　being　cooled　by　various　methods,　significantly　influence　the　safety　of　deep　earth　geotechnical　engineering.　The　study　primarily　investigated　medium-weathered　granite　porphyry.　Uniaxial　compression　and　cyclic　dynamic　impact　tests　were　performed　on　specimens　cooled　naturally　and　via　water　immersion　at　400　℃.　The　aim　was　to　compare　and　analyze　the　change　in　the　mechanical　properties　of　granite.　Utilizing　the　Logistic　distribution　law,　loading　damage　variables　and　thermal　cycling　damage　variables　were　incorporated　to　develop　a　statistical　damage　constitutive　model　for　granite.　The　corresponding　parameters　were　determined,　and　the　applicability　and　reasonableness　of　the　model　were　verified.　The　results　reveal　that　during　uniaxial　compression　testing,　the　internal　microcracks　in　granite　expand　and　coalesce　into　macroscopic　cracks　as　the　number　of　thermal　cycles　increases.　Furthermore,　the　mass　of　the　rock　samples　and　longitudinal　wave　velocity　decrease,　while　the　elastic　deformation　phase　in　the　static　stress-strain　curve　shortens,　indicating　a　distinct　unstable　damage　stage.　The　rate　of　deterioration　of　rock　strength　can　be　significantly　affected　by　the　cooling　method,　but　the　final　static　compressive　strength　of　granite　is　not　significantly　affected.　Under　an　air　pressure　impact　of　0.30　MPa,　the　dynamic　compressive　strength　of　naturally　cooled　granite　initially　increases　and　then　decreases　with　increasing　impact　cycles.　The　initial　impact　enhances　the　compressive　strength　of　naturally　cooled　granite.　However,　when　thermal　cycling　exceeds　three　cycles,　granite＇s　resistance　to　cyclic　impacts　diminishes.　The　dynamic　damage　model,　formulated　using　the　Logistic　distribution,　exhibits　good　alignment　with　the　experimental　curve.　The　model　parameters　are　readily　obtainable,　possessing　a　clear　physical　interpretation　and　practical　applicability.　This　research　offers　valuable　references　for　the　construction,　repair,　and　stability　analysis　of　rock　masses　in　variable　temperature　environments.　©　2024　Biodiversity　Research　Center　Academia　Sinica.　All　rights　reserved.