In　this　paper,　the　proposed　yield　function　is　the　function　of　stress,　hardening　parameter,　and　strain　rate.　To　fully　describe　the　stress　state　and　strain　rate　condition　of　material　during　dynamic　loading,　a　new　coordinate　system,　which　is　composed　of　a　stress　axis　and　strain　rate　axis,　is　employed　to　present　the　proposed　rate-dependent　yield　surface.　The　strain　rate　is　regarded　as　a　variable　in　applying　the　consistency　condition.　The　rate-dependent　consistency　is　satisfied　strictly　during　the　whole　dynamic　loading.　The　nonassociated　flow　rule　is　employed　to　describe　the　dilatancy　behavior　of　concrete.　The　loading-unloading　criterion　based　on　Ilyushin＇s　postulate　is　developed　into　the　rate-dependent　loading-unloading　criterion　that　can　consider　reasonably　the　change　of　elastic　domain　caused　by　strain　rate.　Furthermore,　a　three-dimensional　(3D)　dynamic　elastoplastic　model　of　concrete　is　established　within　the　framework　of　the　rate-dependent　consistency　condition.　Under　the　dynamic　uniaxial　compression　loading　condition,　the　model　characteristics　related　to　rate-dependent　consistency　condition　are　discussed　and　analyzed.　Five　sets　of　dynamic　experiment　results　of　concrete　are　employed　to　evaluate　the　performance　of　the　model.