Vascular Stents with Controllable Negative Poisson’s Ratio Based on Energy Homogenization Method

Abstract

Based on the energy uniformization method and topology optimization method, a negative Poisson’s ratio generating model was designed. Using the generated cells, a novel negative Poisson’s ratio vascular stent was designed. A finite element model of the expansion process, including the vessel, stent, and balloon, was established. The analysis results showed an obvious tensile deformation pattern. Based on this expansion model, 23 sample points were sampled using the Latin hypercube method. Material parameters were used as variables, and cell equivalent Poisson’s ratio was used as a response. Least squares regression, moving least squares methods, Kriging, and radial basis function response surface models were established, and the fitted surface patterns were consistent with the design. The equivalent Poisson’s ratio measured by the cell was less than 8% different from the theoretical Poisson’s ratio obtained by uniformization.