Topology Optimization of Transient Thermo-elastic Structure Considering Regional Temperature Control

In this paper, a topology optimization model for transient thermo-elastic coupling problems is proposed. Based on the method of solid isotropic material with penalization, the coupled equations of transient thermomechanical field are established. In this model, the objective is to minimize the global structural compliance with volume and maximum temperature constraints during the working time. To efficiently restrict the maximum temperature of the transient thermo-elastic structure in time and spatial dimensions, the regional temperature control scheme is constructed using the aggregation function. The adjoint variable method is adopted to derive the sensitivity of objective function and constraints, and the design variables are updated through the method of moving asymptotes to obtain clear optimal topologies. The effects of the duration and magnitude of the thermal and structural loads on the optimization results are discussed through several numerical examples.