| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Outline of Final Research Achievements |
In this study, thermo-elastic field and natural convection field problems were considered as multi-objective shape optimization in the issue of fundamental multi-physics. For the thermo-elastic field problem, to achieve multi-objective shape optimization for stiffness maximization, compliance evaluated by thermal deformation based on temperature distribution and by mechanical deformation based on surface force or body force is used as an objective functional by using weighting method. Shape gradient of the multi-objective shape problem is derived theoretically using adjoint variable method and the formulae of the material derivative. Numerical analyses program for the shape optimization is developed based on FreeFem++, and the validity of proposed method is confirmed by results of 2D numerical analyses. Using similar method, validity of the multi-objective shape optimization of the natural convection field problem was confirmed.
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