Freefem++を利用した3次元熱弾性場の形状最適化

抄録

A shape optimization method of three dimensional thermo-elastic fields using Freefem++ and Gmsh is presented. Freefem++ is a software to solve partial differential equations based on the finite element method. Gmsh is a software to make models and meshes for finite element analysis by using GUI or CUI. In this paper, shape optimization of three dimensional thermo-elastic fields for stiffness maximizing problem and displacement control problem is proposed. Reshaping is accomplished using a traction method that was proposed as a solution to the shape optimization method. Numerical programs for the three dimensional shape optimization problems are developed based on Freefem++ and Gmsh, and the validity of the proposed method is confirmed by the results of 3D numerical analyses.