A peridynamics-based anisotropic heat conduction model for phase-change problems

An anisotropic heat conduction model and its phase change extension based on the Bond-Based Peridynamics (BB-PD) are proposed in this paper. A micro‑conductivity formulation is used that prevents material instabilities while remaining fully compatible with isotropic behavior. Based on the anisotropic heat conduction model, a novel phase-change PD formulation for anisotropic materials is developed, incorporating direction-dependent thermal conductivities and latent heat effects. A series of numerical examples are presented to validate the accuracy and applicability of the PD model in continuous and discontinuous media. The results show that the proposed anisotropic heat conduction PD model is in excellent agreement with Finite Element Method solutions and accurately captures the thermal behavior in highly anisotropic materials. Furthermore, the anisotropic phase change PD model can effectively track the solid–liquid interface and handle complex solidification processes even in the presence of crack propagation and intersection, thereby providing a rigorous foundation for the development of thermally coupled multiphysics simulation frameworks.