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On Extensional Oscillations and Waves in Elastic Rods

The authors study the dispersive nature of propagating extensional waves in an infinitely long elastic rod within the framework of the linear theory of a Cosserat rod with two directors. The authors also identify certain material constants in the theory in a manner that is different from those used by others and consequently show that the resulting theory better captures the high-frequency dynamical behavior of three-dimensional rod-like bodies.