In　this　paper,　an　atomistic　investigation　was　performed　to　reveal　the　dependence　of　the　graphene　content　on　the　shape　memory　effect　of　the　multilayer　graphene　reinforced　poly　(L-lactide-co-e-caprolactone).　Uniaxial　compression　deformation　was　carried　out　to　show　the　shape　memory　effect　of　the　graphene　composites.　The　temperature　response　of　the　composites　was　obtained　during　shape　recovery.　It　is　observed　that　the　composites　with　higher　graphene　content　exhibit　larger　recovery　ratio　and　are　more　sensitive　to　temperature　during　a　gradual　warming　recovery.　The　graphene　composites　show　good　reusable　properties　and　the　shape　of　composites　is　able　to　fully　recover　by　constant　temperature　recovery　tests.　Especially,　the　graphene　of　the　composite　was　subjected　to　a　separate　heating　test　to　check　the　role　of　the　graphene　in　shape　recovery　of　the　composite,　where　electro-induced　indirect　heating　was　qualitatively　simulated.　It　is　shown　that　the　recovery　first　appeared　in　composites　with　the　most　content　of　graphene.　The　polymer　will　have　a　temperature　hysteresis　compared　with　graphene　in　composites.　The　shape　recovery　trajectory　of　graphene　and　the　evolution　of　the　interaction　between　graphene　and　polymers　during　the　process　of　shape　memory　were　clearly　presented　to　reveal　the　mechanism　how　graphene　promotes　the　performance　of　shape　memory.　This　research　can　provide　a　guidance　for　obtaining　composite　materials　with　ideal　shape　memory　effect.