Difference in the Evolution of Longitudinal and Transverse Bell-Shaped Plane Waves Propagating in Nonlinear Elastic Composites

  • V. N. YurchukEmail author

The results on the evolution of nonlinear elastic longitudinal and transverse bell-shaped plane waves are theoretically described, analyzed, and compared. Eighteen options of initial parameters, two composite materials, three wave lengths, three maximum initial amplitudes are numerically analyzed. Three-dimensional graphs of displacement versus traveled distance versus travel time for each option are plotted. The emphasis is on the differences in the evolution of longitudinal and transverse waves.


nonlinear longitudinal and transverse plane waves approximate method bell-shaped wave profile difference in wave evolutions 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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