Abstract：Thermal metamaterials represent an advanced paradigm for heat flow manipulation through microstructural design, offering novel pathways for customizing thermal functionalities in engineering applications. This study introduces a microstructure design methodology based on the thermal resistance method, which establishes an explicit analytical relationship between equivalent thermal conductivity and geometric parameters. This framework enables precise control over non-uniform, anisotropic thermal conductivity distributions. By integrating transformation theory, we further develop a structured design process applicable to arbitrarily shaped thermal devices. The proposed approach is validated through the design and numerical simulation of six distinct thermal concentrators and rotators, demonstrating its effectiveness and adaptability in achieving targeted thermal responses.
2026, Vol. 47 
