Based　on　the　elasto-plastic　theory　and　the　concept　of　free　energy　in　the　thermodynamics,　an　elasto-plastic　constitutive　model　of　concrete　including　effects　of　temperature　is　presented.　The　concrete　is　assumed　as　elasto-plastic　decoupling　material.　The　elastic　stress-strain　relation　is　derived　from　the　free　energy　function　including　temperature.　The　yielding　function　is　derived　based　on　the　Drucker-Prager　strength　criterion,　and　the　plastic　shear　strain　serves　as　hardening　parameter.　The　temperature　variable　is　included　in　the　hardening　law　to　reflect　the　effects　of　temperature　on　the　plastic　properties　of　concrete,　and　the　plastic　stress-strain　relation　is　derived.　The　constitutive　model　is　embedded　into　the　finite　element　software　ABAQUS.　The　semi-implicit　return　mapping　algorithm　is　employed　to　compile　the　UMAT　subroutine　of　the　model.　The　numerical　simulation　of　the　uniaxial　and　biaxial　compression　of　the　C20　and　C40　concrete　elements　are　carried　out　with　the　developed　constitutive　model.　The　numerical　results　agree　well　with　the　corresponding　test　data.　The　developed　constitutive　model　is　applied　to　the　numerical　simulation　of　the　mechanical　response　of　concrete　members　at　different　temperatures,　including　the　simply　supported　beam　under　the　action　of　concentrated　load　and　the　axial　compressive　column.　The　numerical　results　show　that　the　mechanical　responses　of　concrete　members　to　same　loads　increase　with　the　raise　of　temperature.　This　indicates　the　degradation　of　mechanical　properties　of　concrete　with　the　raise　of　temperature　and　accords　with　the　basic　characteristics　of　the　mechanical　response　of　concrete　members　at　different　temperatures.　©　2019,　Editorial　Department　of　CJAM.　All　right　reserved.