A comparative study of wave dispersion between discrete and continuum linear bond-based peridynamics systems: 1D framework

Wave dispersion behavior is compared between discrete and continuum systems of a linear bond-based peridynamic bar. Numerical dispersion is known to be prominent in the discrete system, by which, classical behavior is not captured at lower wave-numbers. Using spectral analysis of motion, in this paper, a possibility of absence of numerical dispersion is demonstrated.