简介：Constitutiverelationsaregivenforthedescriptionofthedeformationbehaviorofshapememorymaterials.Thedeformationisthesuperpositionoftheelastic,thethermalandthephasetransformationdeformationcausedbythetransformationfromonetotheotheramongthehightemperaturephase,thelowtemperaturephaseandthestressinducedphase.Thephasetransformationiscontrolledbythedrivingforce,i.e.,theGibbsenergydifferencebetweenthephases.

简介：Shapememoryalloy(SMA)reinforcedsmartstructurecanbeusedtomakestructuralshapeandstrengthselfadaptedandstructuraldamageself-restrained.AlthoughSMAsmartstructureswithoutdamageswereextensivelystudied,researchesonSMAsmartstructureswithdamageshaverarelybeenreportedthusfar.Inthispaper,thermo-mechanicalbehaviorsofSMAfiberreinforcedsmartstructureswithdamagesareanalyzedthroughashearlagmodelandthevariationalprinciple.Mathematicalexpressionsofthemeso-displacementfieldandthestress-strainfieldofatypicalelementwithdamagesareobtained,andafailurecriterionforinterfacefailurebetweenSMAfibersandmatrixisestablished,whichisappliedtoanexample.ResultspresentedhereinmayprovideatheoreticalfoundationforfurtherstudiesonintegrityofSMAsmartstructures.