Wave Propagation in a Thick Cylindrical Bar Due to Longitudinal Impact

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We present results of a solution to longitudinal impact of thick bars, obtained via an exact three-dimensional theory. Detailed investigation of the behavior of the solution has been carried out, including a number of subsidiary calculations. The results obtained made it possible to improve on the knowledge of the physical nature of the problem investigated. By comparing the exact theory with calculations performed in terms of an elementary bar theory, the successive transition from a three-dimensional (3D) description to a one-dimensional (1D) one could be demonstrated. The obtained dependences of displacements and stresses have been compared with Skalak's asymptotic solution and with results of experiments by Miklowitz.

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