Spatio-temporal dispersion analysis of dissipative time integration schemes for coupled peridynamic wave propagation

초록

In this paper, a spatio-temporal dispersion analysis incorporating both peridynamic discretization and temporal approximation schemes is proposed. Using this framework, the performance of the Noh-Bathe explicit time integration method is investigated for dynamic wave propagation in bond-based peridynamics and the finite element method. Compared with the conventional non-dissipative central difference method, the Noh-Bathe method preserves accurate low-frequency wave propagation while attenuating inaccurate high-frequency modes, thereby improving dispersion behavior in peridynamic discretizations. A numerical reflection indicator is also introduced to quantify interface-induced artifacts caused by numerical wave-speed mismatch, showing that the dissipative nature of the Noh-Bathe scheme effectively suppresses spurious reflections at the coupling interface. Numerical examples further validate that the Noh-Bathe method provides stable and accurate solutions in both fully peridynamic and coupled peridynamic-finite element simulations.

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