Hemodynamics is closely associated with arterial diseases.The studies on blood flow in arteries are very significant to explain and find the reasons of the diseases from the viewpoint of mechanics.Fluid-structure interaction in arteries is a hot and difficult point in hemodynamics.The existent problems are pointed out when the advances in the field are reviewed.In addition,according to the requirement of clinical diagnosis and treatment,the problems that need solving in the future and the direction of the corresponding numerical calculation are proposed.