This　short　communication　proposed　a　dynamic　constitutive　model,　which　investigated　the　combined　effects　of　temperatures　and　strain　rates　to　characterize　the　mechanical　performance　of　concrete　exposed　to　fire　and　blast　simultaneously.　Compared　with　the　existing　constitutive　models,　the　proposed　constitutive　model　is　relatively　simple　with　uniform　series　of　parameters,　and　can　be　more　easily　applied　to　the　numerical　simulation　of　the　dynamic　behaviors　of　concrete.　The　elastic　strain　increment　expression　for　concrete　was　derived　from　the　elastic　free　energy　function,　and　the　plastic　strain　increment　expression　was　based　on　the　classical　plastic　theory.　Based　on　Drucker-Prager　yield　criterion,　the　yield　equation　considering　the　strengthening　effect　of　strain　rate　was　established.　The　damage　criterion　was　established　to　characterize　the　damage　caused　by　various　temperatures　and　strain　rates.　The　stress–strain　diagrams　of　concrete　materials　with　different　temperatures　(200　°C,　400　°C,　600　°C,　and　800　°C)　and　strain　rates　(50　s−1-185　s−1)　were　calculated　under　the　condition　of　uniaxial　dynamic　compress　and　temperature　loading.　By　comparing　with　the　previous　test　results,　it　can　be　concluded　that　the　current　constitutive　model　accurately　simulates　the　mechanical　performance　of　concrete　with　various　temperatures　and　various　strain　rates.　It　provided　a　theoretical　basis　for　the　safety　evaluation　of　concrete　engineering　structures.　©　2023　The　Authors