AmechanicalmodelisestablishedformodeⅡinterfacialcrackstaticgrowingalonganelastic-elasticpowerlawcreepingbimaterialinterface.Forfrictionalcontactofboundaryconditionsoncrackfaces,asymptoticsolutionsofthestressesandstrainsofneartip-crackaregot.Itwasshownthatinstablecreepgrowingphase,elasticdeformationandviscousdeformationareequallydominantinthenear-tipfield,thestressandstrainhavethesamesingularityandthereisnottheoscillatorysingularitythefield.Throughnumericalcalculation,itisshownthatthefrictionalcoefficientηnotablyinfluencethecrack-tipfield.