Analytical and Numerical Solution and a Multi-Objective Optimization for Auxetic Stents with Various Geometries

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حل تحلیلی و عددی استنت های آگزتیک با هندسه های مختلف و بهینه سازی چند هدفه آنها

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 55241 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Nourani, Amir
Abstract:
The present study examines the mechanical properties of auxetic stents with various types of structures. Geometries was parametrically modeled and the design of experiments (DOE) was developed by defining the elastic properties of the stents and using the response surface method (RSM). Finite element (FE) analysis was performed in order to find a polynomial relationship between the geometric parameters as inputs and the elastic parameters as the outputs. Then, the optimal stent was obtained in terms of elasticity parameters by using RSM and NSGA-II methods and the two-dimensional Pareto front was plotted. For instance, the optimal parameters of the Re-entrant stent including flexural stiffness, axial elasticity modulus, radial elasticity modulus and Poisson’s ratio were obtained as 40 mPa.m4, 253 MPa, 752 MPa and -0.58, respectively. Moreover, a method was proposed to find an analytical solution for metal elastic stents in order to verify the FEM results. Finally, the blood vessel compliance of the optimal stent was evaluated
Keywords:
Multiobjective Optimization ; Analytical Solution ; Numerical Solution ; Genetic Algorithm ; Auxetic Materials ; Stent

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