This　paper　focuses　on　analytical　solutions　of　additional　stresses　for　a　curved　shield　tunnel.　General　equations　of　additional　stress　caused　by　construction　loadings　were　deduced　by　rewritten　Mindlin　solutions,　and　additional　thrust　and　friction　force　were　considered.　In　addition,　theoretical　formulae　of　additional　stress　caused　by　soil　loss　were　deduced　based　on　the　three-dimensional　image　theory,　and　the　actual　processes　of　synchronous　grouting　and　over-excavation　were　considered.　Then,　by　using　a　curved　tunnel　in　Zhuhai　City,　China　as　a　case　study,　the　distribution　laws　of　additional　stress　along　the　directions　of　advancement　and　circumference　were　investigated.　Under　the　coaction　of　construction　loadings　and　soil　loss,　it　was　found　that　the　distributions　of　σx　and　σy　along　the　advancement　direction　for　curved　tunnels　are　similar　to　those　for　straight-line　tunnels.　However,　the　soil　around　a　curved　tunnel　is　more　likely　to　yield　because　the　difference　between　the　normal　stresses　in　two　directions　is　greater　than　that　for　soil　around　a　straight-line　tunnel.　Additional　stresses　caused　by　soil　loss　along　the　circumferential　direction　for　a　curved　tunnel　were　found　to　no　longer　have　the　characteristics　of　strictly　axial　symmetry.　The　values　of　compressive　stress　σx　and　σy　at　the　outer　side　of　the　curved　tunnel　were　found　to　be　greater　and　smaller　than　those　at　the　inner　side,　respectively.　As　the　curvature　radius　decreases,　the　maximum　tensile　stresses　σx　and　σy　for　curved　tunnels　were　found　to　decrease　and　increase,　respectively.　Furthermore,　an　insufficient　quantity　of　injection　grouting　will　trigger　detrimental　effects　to　nearby　structures　during　the　approaching　excavation.　©　2020　Elsevier　Ltd