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.
Venkata S. Mutnuri and Srinivasan Gopalakrishnan, "Elastic wave propagation in in-homogenous peridynamic bar," Proc. SPIE 10167, Nanosensors, Biosensors, Info-Tech Sensors and 3D Systems 2017, 101671L (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 29, 2017; Published: 17 April 2017); https://doi.org/10.1117/12.2259991.
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