Solution and Verification for Multi-Objective Shape Optimization on Complicated Thermo-elastic Fields and Heat-convection Fields

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Shape optimization problems of linear elastic bodies, heat-conduction fields, viscous flow fields, etc. are very important problems in mechanical and structural design. In this study, numerical analyses method of some multi-objective shape optimization problems was proposed for improving performance in viscous flow fields, heat-convection fields, and thermo-elastic fields. These multi-objective shape optimization problems were formulated, then shape sensitivity functions for the shape optimization problems are derived theoretically. Numerical analyses program were developed for the shape optimization problems, and the validity of proposed method was confirmed by results of 2D numerical analyses.