Poly(l-lactide-co-epsilon-caprolactone)　is　an　environment-friendly　shape　memory　polymer.　Molecular　dynamics　method　was　used　to　study　the　shape　memory　effect　and　mechanical　properties　of　graphene　oxide-reinforced　poly(l-lactide-co-epsilon-caprolactone)　to　understand　the　microscopic　mechanism.　Two　models　containing　dispersed　graphene　oxide　were　constructed.　It　is　shown　that　the　addition　of　graphene　oxide　causes　the　glass　transition　temperature　of　material　to　rise　because　of　limitation　on　polymer　activity.　The　uniaxial　tensile　properties　of　the　composites　were　studied.　The　results　exhibited　that　strength　of　composites　depend　on　the　interface　state　of　the　polymer　and　graphene　oxide.　The　strength　of　the　composite　with　covalent　bond　is　much　higher　than　that　of　another　without　the　covalent　bond　between　graphene　oxide　and　poly(l-lactide-co-epsilon-caprolactone)　generated.　Stress　softening　effect　was　observed　in　the　cross-linked　composite　in　the　glass　state.　Their　uniaxial　tension　thermodynamic　cycles　were　carried　out　to　consider　the　shape　memory　effect　of　the　composites.　It　is　shown　that　graphene　oxide-reinforced　composites　with　different　interactions　exhibit　fair　shape　memory　effect　in　the　direction　of　paralleling　graphene　oxide　surface.　In　terms　of　the　direction　perpendicular　to　graphene　oxide　sheet,　the　fixed　ratios　of　the　composites　decrease　slightly　about　1.64%-3.63%,　and　the　recovery　ratios　of　the　composites　with　the　covalent　bond　are　higher　than　others　about　3.22%-12.93%.