We　establish　topology　optimization　model　in　terms　of　Independent　Continuum　Map　method　(ICM),　so　as　to　avoid　the　difficulties　caused　by　multiple　objective　functions　of　compliance,　owing　to　referring　to　weight　as　objective　function.　Using　the　distorted-strain-energy　criterion,　we　transform　stress　constraints　on　all　elements　into　structure　strain-energy　constraints　in　global　sense.　Then,　the　problem　of　topological　optimum　of　continuum　structure　subjected　to　global　strain-energy　constraints　is　formulated　and　solved.　The　process　of　optimization　is　conducted　through　three　basic　steps　which　include　the　computation　of　the　minimum　strain　energy　of　structure　corresponding　to　the　maximum　strain-energy　under　the　load　case　due　to　prescribing　weight　constraint,　the　determination　of　the　allowable　strain-energy　of　structure　for　every　load　case　by　using　a　formula　from　our　numerical　tests,　as　well　as　the　establishment　and　solution　of　optimization　model　with　the　weight　function　due　to　all　allowable　strain　energies.　A　strategy　that　is　available　to　cope　with　complicated　load　ill-posedness　in　terms　of　different　complementary　approaches　one　by　one　is　presented　in　the　present　work.　Several　numerical　examples　demonstrate　that　the　topology　path　of　transferring　forces　can　be　obtained　more　readily　by　global　strain　energy　constraints　rather　than　local　stress　constraints,　and　the　problem　of　load　ill-posedness　can　be　tackled　very　well　by　the　weighting　method　with　regard　to　structural　strain　energy　as　weighting　coefficient.