In this paper dispersion characteristics of linear in-homogenous peridynamic bar is presented. The bond-based linear peridynamics model is considered. In-homogeneity in the bar is introduced through the linear micro- modulus function. It is shown that peridynamic bar is a low pass filter with existence of an escape frequency for all linear micro-modulus functions. It is also shown that not all linear micro-modulus functions are physically admissible. A correlation is established between the peridynamics and lattice dynamics with long-range interac- tions. Using the dispersion law of piece-wise linear micro-modulus function with horizon, results of an accurate match to experimental phonon dispersion are presented.
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