A multi-horizon fully coupled thermo-mechanical peridynamics

This paper presents a fully coupled thermo-mechanical peridynamic model for simulating interactive thermo-mechanical material responses and thermally induced fracturing of solids. A temperature-dependent constitutive model and a deformation-dependent heat conduction model are derived for state-based peridynamic formulation. The dispersion relation and truncation error of the state-based peridynamic heat equation are analyzed for the first time. It is found that as non-locality becoming more pronounced, the dissipative rate of heat is reduced, and the truncation error becomes larger. A small horizon can effectively mitigate oscillation while reducing the error in the temperature field. For coupled thermo-mechanical modeling, a novel multi-horizon scheme is introduced where the thermal field is solved with a different horizon than that of the mechanical field. The multi-horizon scheme allows for the implementation of a distinct degree of non-locality for different physical field. Comparing with the constant-horizon scheme, we demonstrate through numerical examples that the multi-horizon scheme offers smoother and more accurate solutions and serves a promising option for peridynamics-based multi-physics simulations.