Multimaterial topology optimization of unsteady heat conduction problems based on discrete material optimization
Shun Ogawa, Kazuya Yonekura, Katsuyuki Suzuki
Abstract
This study proposes a multimaterial topology optimization method for unsteady heat-conduction problems using the discrete material optimization (DMO) method. It focuses on optimizing the configuration of multiple materials to maximize thermal conduction performance. The solid isotropic material with penalization (SIMP) method is commonly used for multiple materials, however, this method depends on the order of material definitions. To overcome this, the DMO method is used in this study, which ensures order-independent optimization results. Additionally, a sensitivity analysis is conducted, which considers the time dependence of unsteady heat conduction in case of unsteady heat-conduction problems. Numerical experiments are performed using the extended SIMP and DMO methods. This allows the discussion of the differences in the optimized results obtained using both methods, thereby demonstrating the effectiveness of the proposed approach.