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Quadratically nonlinear torsional hyperelastic waves in a transversely isotropic cylinder: Primary analysis of evolution

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Abstract

Nonlinear torsional waves propagating along an infinite transversely isotropic cylinder are considered. The hyperelasticity of the cylinder is described by Guz’s generalization of the Murnaghan potential to quasi-isotropic materials. The evolution of the initial waveprofile in cylinders made of composite materials reinforced with micro-and nanoscale fibers is modeled numerically. It is shown that the transverse isotropy of this class of composites has a weak effect on the wave phenomena accompanying the propagation of a torsional wave. Three-dimensional plots of evolution are presented

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    J. J. Rushchitsky & Ya. V. Simchuk

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  1. J. J. Rushchitsky
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  2. Ya. V. Simchuk
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__________

Translated from Prikladnaya Mekhanika, Vol. 44, No. 5, pp. 32–44, May 2008.

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Rushchitsky, J.J., Simchuk, Y.V. Quadratically nonlinear torsional hyperelastic waves in a transversely isotropic cylinder: Primary analysis of evolution. Int Appl Mech 44, 505–515 (2008). https://doi.org/10.1007/s10778-008-0063-9

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  • DOI: https://doi.org/10.1007/s10778-008-0063-9

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