Peridynamic modeling of transient heat conduction in solids using a highly efficient algorithm

Abstract

This article presents a novel peridynamic algorithm to model the transient heat conduction in two-dimensional (2-D) problems. The peridynamic method is used to solve the heat transfer equation, and a new algorithm is developed to simulate heat conduction efficiently. The new peridynamic algorithm can simulate the heat conduction for the whole geometry within only 2 s when using up to 5,000 particles and 5,000 simulation steps, where the mesh-free nature of peridynamics is well utilized. Moreover, the thermal results obtained from the new peridynamic algorithm demonstrate high accuracy by solving several heat conduction problems under different boundary conditions. The results are validated against exact and analytical solutions and compared with other numerical models. The developed algorithm can be easily implemented in software packages and industrial applications.