Modeling　and　prediction　of　dynamic　behaviors　of　cracked　bodies　are　vital　to　the　safety　evaluation　of　structures.　The　numerical　manifold　method　(NMM)　has　achieved　considerable　success　in　crack　analysis　as　it　provides　a　powerful　representation　of　complex　discontinuities.　Strain　smoothing　has　been　incorporated　into　enriched　methods　such　as　NMM　to　improve　their　accuracy,　efficiency,　and　tolerance　to　mesh　distortion.　However,　conventional　strain　smoothing　cannot　reproduce　the　large　spatial　variance　in　the　strain　surrounding　crack　tips.　Consequently,　the　accuracy　is　reduced　when　it　is　applied　to　crack-tip　enrichment　bases.　High-fidelity　representation　of　crack　tip　fields　can　be　achieved　by　crack-tip　enrichment.　Therefore,　it　is　desirable　to　combine　compatible　strain　for　the　enriched　areas　with　edge-based　smoothed　strain　for　the　remaining　areas.　When　explicit　time　integration　is　employed,　it　is　beneficial　to　use　a　lumped　mass　matrix　because　it　provides　a　larger　critical　time　step　and　a　straightforward　solution　of　the　linear　algebraic　equation.　A　local-approximation-based　mass　lumping　strategy　is　used　to　obtain　a　block-diagonal　mass　matrix　with　small　blocks.　Finally,　the　proposed　methodology　is　applied　to　various　static　and　dynamic　crack　analyses,　and　highly　accurate　and　stable　results　are　obtained.