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In this paper, blood flow in artery was treated as the flow under equilibrium state (the steady flow under mean pressure) combined with the periodically small pulsatile flow. Based on vascular zero-stress state[1], the pulsatile strains according to the radial and axial displacements of blood vessel were obtained. With the use of Hooke’s law, the pulsatile strains and the corresponding Cauchy stresses were connected, so the corresponding wall motion equations could be established here. By solving the linearized Navier-Stokes equations, the analytic expressions of the blood flow velocities and the vascular displacements could be obtained, and the influence of the circumferential and axial stretch ratio on pulsatile blood flow and vascular motion was discussed in details. rn