Anasymptoticanalysisismadeonproblemswithasteady-statecrackgrowthcoupledwithacreeplawmodelundertensileloads.Asymptoticequationsofcracktipfieldsincreepmaterialsarederivedandsolvednumericallyundersmallscaleconditions.Stressandstrainfunctionsareadoptedunderapolarcoordinatesystem.Thegoverningequationsofasymptoticfieldsareobtainedbyinsertingthestressfieldandstrainfieldintothemateriallaw.Thecrackgrowthrateratherthanfracturecriterionplaysanimportantroleinthecracktipfieldsofmaterialswithcreepbehavior.