Residual　stresses　evidently　affect　the　strength,　fatigue　property　and　machining　deformation　of　the　mechanical　components.　Therefore,　stress　relief　processes　are　extensively　applied　in　the　manufacturing　to　enhance　the　mechanical　properties　of　products.　In　this　study,　seven　7075　aluminium　alloy　specimens　are　treated　by　thermalvibratory　stress　relief　(TVSR),　thermal　stress　relief　(TSR),　and　vibratory　stress　relief　(VSR).　Finite　element　(FE)　models　considering　the　stress　relaxation　effects　and　transient　periodic　vibration　loads　are　proposed　to　simulate　the　TVSR,　TSR　and　VSR　process.　The　residual　stresses　before　and　after　the　processes　are　measured　and　compared,　and　the　effectiveness　of　the　FE　models　is　validated.　Scanning　electron　microscope　(SEM)　and　transmission　electron　microscope　(TEM)　are　used　to　observe　the　microstructure　and　crystal　dislocation,　respectively.　Results　show　that　TVSR　can　evidently　reduce　the　residual　stress　in　aluminium　alloy,　and　the　stress　relief　rate　of　TVSR　for　the　peak　stress　are　20.43%　and　38.56%　higher　than　that　of　TSR　and　VSR,　respectively.　It　also　found　that　TVSR　has　no　obvious　influence　on　the　grain　size,　but　evidently　increase　the　dislocation　density.　Eventually,　the　stress　relief　mechanism　of　TVSR　is　analyzed　and　summarized.　(c)　2020　Published　by　Elsevier　Ltd.　This　is　an　open　access　article　under　the　CC　BY-NC-ND　license　(http://　creativecommons.org/licenses/by-nc-nd/4.0/).