Finite Deformation Analysis and Numerical Simulation of Arterial Wall

Based on Gent model, a new strain energy function is developed for the description of mechanical response of arterial wall, which fulfills the requirement that W = 0 in the rigid condition and will thansform into Gent model when n = 1. By utilizing the modified strain energy function, inflation of arterial wall by internal pressure is researched. Stress distribution through the deformed arterial wall at cylindrical system is achieved based finite deformation theory. In order to analyze the deformation and stress field of arterial wall at different blood pressure, a user subroutine is programmed to implement the modified strain energy function from Gent into the program of MSC.Marc,. The results show that maximum radial stress and maximum circumferential stress all appear at inside wall. In the meanwhile, radial stress and circumferential stress become smaller along the wall thickness from inside to outside. It can seen the results of finite element analysis of arterial wall are accordant to the result of theoretical analysis, which approves that theoretical analysis is correct.