A density-based ordered-EAMP (exponential approximation of material properties) interpolation model was presented to solve topology optimization problems of multi-material heat transfer structure.Compared with the classical SIMP/RAMP

the numerical examples showed that the proposed interpolation had the characteristics of stable calculation

fast convergence and less gray units of optimized structure. A density filtering scheme for multi-material was constructed in the iterative formula for solving the optimization model based on the optimization criterion (OC) method. The example showed that the scheme can effectively reduce the gray units and the value of optimal objective function. The MATLAB-ANSYS combined calculation was used to achieve the topology optimization of multi-material heat transfer structure in complex thermal environment under three kinds of thermal boundary conditions. The results showed that compared with the structure of single material with large coefficient of conductivity

the multi-material heat transfer topology optimization structure corresponded to the optimal distribution of various heat conduction coefficient materials

which was characterized by smaller dissipation of heat

the dissipation was reduced by 20.3% in numerical example 4

and the heat transfer efficiency was higher.