Abstract
An attempt is made to outline chronologically the five-stage development of the theory of nonlinear elastic waves. Next, attention is focused on the differences and similarities in the analytic description of polarized plane and cylindrical hyperelastic waves propagating in a nonlinear elastic material described by the Murnaghan model. Also, comparison is made of these waves when they propagate in materials described by the Murnaghan and Signorini potentials, which are rather different
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 41–58, September 2006.
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Rushchitsky, J.J., Cattani, C. Similarities and differences between the Murnaghan and Signorini descriptions of the evolution of quadratically nonlinear hyperelastic plane waves. Int Appl Mech 42, 997–1010 (2006). https://doi.org/10.1007/s10778-006-0170-4
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DOI: https://doi.org/10.1007/s10778-006-0170-4