Summary
The effects of geometrical dispersion on the propagation of axi-symmetric incremental stress waves in pre-loaded elastic-plastic cylindrical bars are analysed using an approximation in which radial and axial displacements are expanded as power series in the radial coordinate. The approximation is shown to lead to a tolerable description of the propagation characteristics of elastic waves, for which an exact solution is known. For the elastic-plastic case it is shown that incremental pulses may travel at group velocities of the order of one half the elastic velocity, even when the plastic wave velocity vanishes.
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© 1964 Springer Verlag, Berlin / Göttingen / Heidelberg
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Hunter, S.C., Johnson, I.A. (1964). The Propagation of Small Amplitude Elastic-Plastic Waves in Pre-Stressed Cylindrical Bars. In: Kolsky, H., Prager, W. (eds) Stress Waves in Anelastic Solids. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88288-3_12
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DOI: https://doi.org/10.1007/978-3-642-88288-3_12
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