In　recent　years,　the　linear　amplitude　sweep　test　(LAS)　and　the　time　sweep　(TS)　test　under　dynamic　shear　are　widely　used　to　evaluate　the　damage　resistance　of　paving　asphalt.　This　paper　attempts　to　demonstrate　the　possibility　of　using　the　LAS　test　as　the　accelerated　fatigue　protocol　for　damage　resistance　estimation　of　asphalt　from　perspectives　of　crack　initiation　and　propagation.　Both　the　finite　element　(FE)　simulation　and　experimental　work　based　on　fracture　mechanics　are　conducted　for　this　purpose,　followed　by　the　verification　on　the　traditional　TS　fatigue　test.　The　FE　model　of　the　cylindrical　asphalt　sample　is　created　by　means　of　the　FRANC2d/L　software　to　identify　the　cracking　mode　under　the　crack　propagation　phase.　The　LAS　test　results　show　that　the　damage　evolution　behavior　follows　the　two-phase　crack　growth　(TPCG)　model　and　the　crack　propagation　is　governed　by　mode-I　cracking,　which　is　consistent　to　the　FE-based　numerical　simulation.　The　TS　test　results　show　that　the　TPCG　model　in　the　LAS　protocol　can　be　utilized　to　reasonably　distinguish　the　crack　initiation　and　propagation　resistance　of　different　asphalts.　The　polymer　modification　on　asphalt　can　significantly　improve　its　fatigue　damage　resistance.