Multi-material topology optimization of transient heat conduction structure with functional gradient constraint

Abstract

This work integrates functional gradient constraint into multi-material topology optimization for transient heat conduction structure, taking into account the use of ordered rational approximation of material properties to represent the multi-material interpolation model. The optimization objectives modeled by the aggregation function are to minimize the maximum responses of the transient heat conduction structure during the whole working time. Furthermore, the functional gradient layers are achieved by dividing the design domain into several periodic sub-domains and redistributing the average element response. A numerical example is illustrated to verify the validity and applicability of the proposed method. The results demonstrate that the functional gradient of multi-material topology optimization design can be obtained with various combinations of sub-regions numbers. Simultaneously, different types of optimization functions exhibit distinct topologies under additional heat loading times.