Topology Optimization of Thermal Structure Based Bi-directional Interpolation Model

Aim at the unilateral penalty for treating intermediate density elements in traditional topology optimization, a bi-directional interpolation model (BDIM) is developed to treat intermediate density elements during the topology optimization process. By introducing a threshold, the BDIM model can rationally treat intermediate density elements through penalizing and promoting them toward void and solid elements bilaterally. The mathematical model based BDIM is established for optimizing heat conduction problems and the optimization criteria is derived according to gradient projection method. Corresponding numerical examples are presented to demonstrate the validity of this proposed approach, with the global optimizing results based BDIM model laying a reliable foundation for the subsequent shape and size optimizations in thermal engineering design.