Optimisation de forme des structures hyperelastiques incompressibles et anisotropes

Abstract

Shape optimization of hyperelastic incompressible anisotropic structures. In this paper a shape optimization of hyperelastic incompressible anisotropic structures has been performed. The shape optimization program is implemented by a job control language and a reliable finite-element package program, the SQP (Sequential Quadratic Programming), is used for structural analysis. To achieve the shape optimization, different principles such as structural analysis, sensitivity analysis and mathematical programming are inter-related. The objective is to minimize the Von Mises criterium, with a constraint that the total material volume of the structure remains constant limit for each design variable. In this work, the sensitivity calculation is performed using two methods: numerically by an efficient finite difference scheme and by the exact Jacobian method. The feasibility of the proposed method is carried by a numerical example with anisotropic material.